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Geant4/processes/hadronic/models/coherent_elastic/src/G4DiffuseElastic.cc

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Diff markup

Differences between /processes/hadronic/models/coherent_elastic/src/G4DiffuseElastic.cc (Version 11.3.0) and /processes/hadronic/models/coherent_elastic/src/G4DiffuseElastic.cc (Version 10.4)


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 25 //                                                 25 //
                                                   >>  26 // $Id: G4DiffuseElastic.cc 93440 2015-10-22 14:11:41Z gcosmo $
 26 //                                                 27 //
 27 //                                                 28 //
 28 // Physics model class G4DiffuseElastic            29 // Physics model class G4DiffuseElastic 
 29 //                                                 30 //
 30 //                                                 31 //
 31 // G4 Model: optical diffuse elastic scatterin     32 // G4 Model: optical diffuse elastic scattering with 4-momentum balance
 32 //                                                 33 //                         
 33 // 24-May-07 V. Grichine                           34 // 24-May-07 V. Grichine
 34 //                                                 35 //
 35 // 21.10.15 V. Grichine                            36 // 21.10.15 V. Grichine 
 36 //             Bug fixed in BuildAngleTable, i     37 //             Bug fixed in BuildAngleTable, improving accuracy for 
 37 //             angle bins at high energies > 5     38 //             angle bins at high energies > 50 GeV for pions.
 38 //                                                 39 //
 39                                                    40 
 40 #include "G4DiffuseElastic.hh"                     41 #include "G4DiffuseElastic.hh"
 41 #include "G4ParticleTable.hh"                      42 #include "G4ParticleTable.hh"
 42 #include "G4ParticleDefinition.hh"                 43 #include "G4ParticleDefinition.hh"
 43 #include "G4IonTable.hh"                           44 #include "G4IonTable.hh"
 44 #include "G4NucleiProperties.hh"                   45 #include "G4NucleiProperties.hh"
 45                                                    46 
 46 #include "Randomize.hh"                            47 #include "Randomize.hh"
 47 #include "G4Integrator.hh"                         48 #include "G4Integrator.hh"
 48 #include "globals.hh"                              49 #include "globals.hh"
 49 #include "G4PhysicalConstants.hh"                  50 #include "G4PhysicalConstants.hh"
 50 #include "G4SystemOfUnits.hh"                      51 #include "G4SystemOfUnits.hh"
 51                                                    52 
 52 #include "G4Proton.hh"                             53 #include "G4Proton.hh"
 53 #include "G4Neutron.hh"                            54 #include "G4Neutron.hh"
 54 #include "G4Deuteron.hh"                           55 #include "G4Deuteron.hh"
 55 #include "G4Alpha.hh"                              56 #include "G4Alpha.hh"
 56 #include "G4PionPlus.hh"                           57 #include "G4PionPlus.hh"
 57 #include "G4PionMinus.hh"                          58 #include "G4PionMinus.hh"
 58                                                    59 
 59 #include "G4Element.hh"                            60 #include "G4Element.hh"
 60 #include "G4ElementTable.hh"                       61 #include "G4ElementTable.hh"
 61 #include "G4NistManager.hh"                        62 #include "G4NistManager.hh"
 62 #include "G4PhysicsTable.hh"                       63 #include "G4PhysicsTable.hh"
 63 #include "G4PhysicsLogVector.hh"                   64 #include "G4PhysicsLogVector.hh"
 64 #include "G4PhysicsFreeVector.hh"                  65 #include "G4PhysicsFreeVector.hh"
 65                                                    66 
 66 #include "G4Exp.hh"                                67 #include "G4Exp.hh"
 67                                                    68 
 68 #include "G4HadronicParameters.hh"             << 
 69                                                << 
 70 //////////////////////////////////////////////     69 /////////////////////////////////////////////////////////////////////////
 71 //                                                 70 //
 72 // Test Constructor. Just to check xsc             71 // Test Constructor. Just to check xsc
 73                                                    72 
 74                                                    73 
 75 G4DiffuseElastic::G4DiffuseElastic()               74 G4DiffuseElastic::G4DiffuseElastic() 
 76   : G4HadronElastic("DiffuseElastic"), fPartic     75   : G4HadronElastic("DiffuseElastic"), fParticle(0)
 77 {                                                  76 {
 78   SetMinEnergy( 0.01*MeV );                    <<  77   SetMinEnergy( 0.01*MeV ); // 0.01*GeV );
 79   SetMaxEnergy( G4HadronicParameters::Instance <<  78   SetMaxEnergy( 1.*TeV );
 80                                                    79 
 81   verboseLevel         = 0;                        80   verboseLevel         = 0;
 82   lowEnergyRecoilLimit = 100.*keV;                 81   lowEnergyRecoilLimit = 100.*keV;  
 83   lowEnergyLimitQ      = 0.0*GeV;                  82   lowEnergyLimitQ      = 0.0*GeV;  
 84   lowEnergyLimitHE     = 0.0*GeV;                  83   lowEnergyLimitHE     = 0.0*GeV;  
 85   lowestEnergyLimit    = 0.0*keV;                  84   lowestEnergyLimit    = 0.0*keV;  
 86   plabLowLimit         = 20.0*MeV;                 85   plabLowLimit         = 20.0*MeV;
 87                                                    86 
 88   theProton    = G4Proton::Proton();               87   theProton    = G4Proton::Proton();
 89   theNeutron   = G4Neutron::Neutron();             88   theNeutron   = G4Neutron::Neutron();
 90   theDeuteron  = G4Deuteron::Deuteron();           89   theDeuteron  = G4Deuteron::Deuteron();
 91   theAlpha     = G4Alpha::Alpha();                 90   theAlpha     = G4Alpha::Alpha();
 92   thePionPlus  = G4PionPlus::PionPlus();           91   thePionPlus  = G4PionPlus::PionPlus();
 93   thePionMinus = G4PionMinus::PionMinus();         92   thePionMinus = G4PionMinus::PionMinus();
 94                                                    93 
 95   fEnergyBin = 300;  // Increased from the ori <<  94   fEnergyBin = 200; 
 96   fAngleBin  = 200;                                95   fAngleBin  = 200;
 97                                                    96 
 98   fEnergyVector =  new G4PhysicsLogVector( the     97   fEnergyVector =  new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
 99                                                    98 
100   fAngleTable = 0;                                 99   fAngleTable = 0;
101                                                   100 
102   fParticle      = 0;                             101   fParticle      = 0;
103   fWaveVector    = 0.;                            102   fWaveVector    = 0.;
104   fAtomicWeight  = 0.;                            103   fAtomicWeight  = 0.;
105   fAtomicNumber  = 0.;                            104   fAtomicNumber  = 0.;
106   fNuclearRadius = 0.;                            105   fNuclearRadius = 0.;
107   fBeta          = 0.;                            106   fBeta          = 0.;
108   fZommerfeld    = 0.;                            107   fZommerfeld    = 0.;
109   fAm = 0.;                                       108   fAm = 0.;
110   fAddCoulomb = false;                            109   fAddCoulomb = false;
111 }                                                 110 }
112                                                   111 
113 //////////////////////////////////////////////    112 //////////////////////////////////////////////////////////////////////////////
114 //                                                113 //
115 // Destructor                                     114 // Destructor
116                                                   115 
117 G4DiffuseElastic::~G4DiffuseElastic()             116 G4DiffuseElastic::~G4DiffuseElastic()
118 {                                                 117 {
119   if ( fEnergyVector )                            118   if ( fEnergyVector ) 
120   {                                               119   {
121     delete fEnergyVector;                         120     delete fEnergyVector;
122     fEnergyVector = 0;                            121     fEnergyVector = 0;
123   }                                               122   }
124   for ( std::vector<G4PhysicsTable*>::iterator    123   for ( std::vector<G4PhysicsTable*>::iterator it = fAngleBank.begin();
125         it != fAngleBank.end(); ++it )            124         it != fAngleBank.end(); ++it ) 
126   {                                               125   {
127     if ( (*it) ) (*it)->clearAndDestroy();        126     if ( (*it) ) (*it)->clearAndDestroy();
128                                                   127 
129     delete *it;                                   128     delete *it;
130     *it = 0;                                      129     *it = 0;
131   }                                               130   }
132   fAngleTable = 0;                                131   fAngleTable = 0;
133 }                                                 132 }
134                                                   133 
135 //////////////////////////////////////////////    134 //////////////////////////////////////////////////////////////////////////////
136 //                                                135 //
137 // Initialisation for given particle using ele    136 // Initialisation for given particle using element table of application
138                                                   137 
139 void G4DiffuseElastic::Initialise()               138 void G4DiffuseElastic::Initialise() 
140 {                                                 139 {
141                                                   140 
142   // fEnergyVector = new G4PhysicsLogVector( t    141   // fEnergyVector = new G4PhysicsLogVector( theMinEnergy, theMaxEnergy, fEnergyBin );
143                                                   142 
144   const G4ElementTable* theElementTable = G4El    143   const G4ElementTable* theElementTable = G4Element::GetElementTable();
145                                                   144 
146   std::size_t jEl, numOfEl = G4Element::GetNum << 145   size_t jEl, numOfEl = G4Element::GetNumberOfElements();
147                                                   146 
148   for( jEl = 0; jEl < numOfEl; ++jEl) // appli    147   for( jEl = 0; jEl < numOfEl; ++jEl) // application element loop
149   {                                               148   {
150     fAtomicNumber = (*theElementTable)[jEl]->G    149     fAtomicNumber = (*theElementTable)[jEl]->GetZ();     // atomic number
151     fAtomicWeight = G4NistManager::Instance()-    150     fAtomicWeight = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( fAtomicNumber ) );
152     fNuclearRadius = CalculateNuclearRad(fAtom    151     fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
153                                                   152 
154     if( verboseLevel > 0 )                        153     if( verboseLevel > 0 ) 
155     {                                             154     {   
156       G4cout<<"G4DiffuseElastic::Initialise()     155       G4cout<<"G4DiffuseElastic::Initialise() the element: "
157       <<(*theElementTable)[jEl]->GetName()<<G4    156       <<(*theElementTable)[jEl]->GetName()<<G4endl;
158     }                                             157     }
159     fElementNumberVector.push_back(fAtomicNumb    158     fElementNumberVector.push_back(fAtomicNumber);
160     fElementNameVector.push_back((*theElementT    159     fElementNameVector.push_back((*theElementTable)[jEl]->GetName());
161                                                   160 
162     BuildAngleTable();                            161     BuildAngleTable();
163     fAngleBank.push_back(fAngleTable);            162     fAngleBank.push_back(fAngleTable);
164   }                                               163   }  
165   return;                                         164   return;
166 }                                                 165 }
167                                                   166 
168 //////////////////////////////////////////////    167 ////////////////////////////////////////////////////////////////////////////
169 //                                                168 //
170 // return differential elastic cross section d    169 // return differential elastic cross section d(sigma)/d(omega) 
171                                                   170 
172 G4double                                          171 G4double 
173 G4DiffuseElastic::GetDiffuseElasticXsc( const     172 G4DiffuseElastic::GetDiffuseElasticXsc( const G4ParticleDefinition* particle, 
174                                         G4doub    173                                         G4double theta, 
175                       G4double momentum,          174                       G4double momentum, 
176                                         G4doub    175                                         G4double A         )
177 {                                                 176 {
178   fParticle      = particle;                      177   fParticle      = particle;
179   fWaveVector    = momentum/hbarc;                178   fWaveVector    = momentum/hbarc;
180   fAtomicWeight  = A;                             179   fAtomicWeight  = A;
181   fAddCoulomb    = false;                         180   fAddCoulomb    = false;
182   fNuclearRadius = CalculateNuclearRad(A);        181   fNuclearRadius = CalculateNuclearRad(A);
183                                                   182 
184   G4double sigma = fNuclearRadius*fNuclearRadi    183   G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticProb(theta);
185                                                   184 
186   return sigma;                                   185   return sigma;
187 }                                                 186 }
188                                                   187 
189 //////////////////////////////////////////////    188 ////////////////////////////////////////////////////////////////////////////
190 //                                                189 //
191 // return invariant differential elastic cross    190 // return invariant differential elastic cross section d(sigma)/d(tMand) 
192                                                   191 
193 G4double                                          192 G4double 
194 G4DiffuseElastic::GetInvElasticXsc( const G4Pa    193 G4DiffuseElastic::GetInvElasticXsc( const G4ParticleDefinition* particle, 
195                                         G4doub    194                                         G4double tMand, 
196                       G4double plab,              195                       G4double plab, 
197                                         G4doub    196                                         G4double A, G4double Z         )
198 {                                                 197 {
199   G4double m1 = particle->GetPDGMass();           198   G4double m1 = particle->GetPDGMass();
200   G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla    199   G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
201                                                   200 
202   G4int iZ = static_cast<G4int>(Z+0.5);           201   G4int iZ = static_cast<G4int>(Z+0.5);
203   G4int iA = static_cast<G4int>(A+0.5);           202   G4int iA = static_cast<G4int>(A+0.5);
204   G4ParticleDefinition * theDef = 0;              203   G4ParticleDefinition * theDef = 0;
205                                                   204 
206   if      (iZ == 1 && iA == 1) theDef = thePro    205   if      (iZ == 1 && iA == 1) theDef = theProton;
207   else if (iZ == 1 && iA == 2) theDef = theDeu    206   else if (iZ == 1 && iA == 2) theDef = theDeuteron;
208   else if (iZ == 1 && iA == 3) theDef = G4Trit    207   else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
209   else if (iZ == 2 && iA == 3) theDef = G4He3:    208   else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
210   else if (iZ == 2 && iA == 4) theDef = theAlp    209   else if (iZ == 2 && iA == 4) theDef = theAlpha;
211   else theDef = G4ParticleTable::GetParticleTa    210   else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
212                                                   211  
213   G4double tmass = theDef->GetPDGMass();          212   G4double tmass = theDef->GetPDGMass();
214                                                   213 
215   G4LorentzVector lv(0.0,0.0,0.0,tmass);          214   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
216   lv += lv1;                                      215   lv += lv1;
217                                                   216 
218   G4ThreeVector bst = lv.boostVector();           217   G4ThreeVector bst = lv.boostVector();
219   lv1.boost(-bst);                                218   lv1.boost(-bst);
220                                                   219 
221   G4ThreeVector p1 = lv1.vect();                  220   G4ThreeVector p1 = lv1.vect();
222   G4double ptot    = p1.mag();                    221   G4double ptot    = p1.mag();
223   G4double ptot2 = ptot*ptot;                     222   G4double ptot2 = ptot*ptot;
224   G4double cost = 1 - 0.5*std::fabs(tMand)/pto    223   G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
225                                                   224 
226   if( cost >= 1.0 )      cost = 1.0;              225   if( cost >= 1.0 )      cost = 1.0;  
227   else if( cost <= -1.0) cost = -1.0;             226   else if( cost <= -1.0) cost = -1.0;
228                                                   227   
229   G4double thetaCMS = std::acos(cost);            228   G4double thetaCMS = std::acos(cost);
230                                                   229 
231   G4double sigma = GetDiffuseElasticXsc( parti    230   G4double sigma = GetDiffuseElasticXsc( particle, thetaCMS, ptot, A);
232                                                   231 
233   sigma *= pi/ptot2;                              232   sigma *= pi/ptot2;
234                                                   233 
235   return sigma;                                   234   return sigma;
236 }                                                 235 }
237                                                   236 
238 //////////////////////////////////////////////    237 ////////////////////////////////////////////////////////////////////////////
239 //                                                238 //
240 // return differential elastic cross section d    239 // return differential elastic cross section d(sigma)/d(omega) with Coulomb
241 // correction                                     240 // correction
242                                                   241 
243 G4double                                          242 G4double 
244 G4DiffuseElastic::GetDiffuseElasticSumXsc( con    243 G4DiffuseElastic::GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle, 
245                                         G4doub    244                                         G4double theta, 
246                       G4double momentum,          245                       G4double momentum, 
247                                         G4doub    246                                         G4double A, G4double Z         )
248 {                                                 247 {
249   fParticle      = particle;                      248   fParticle      = particle;
250   fWaveVector    = momentum/hbarc;                249   fWaveVector    = momentum/hbarc;
251   fAtomicWeight  = A;                             250   fAtomicWeight  = A;
252   fAtomicNumber  = Z;                             251   fAtomicNumber  = Z;
253   fNuclearRadius = CalculateNuclearRad(A);        252   fNuclearRadius = CalculateNuclearRad(A);
254   fAddCoulomb    = false;                         253   fAddCoulomb    = false;
255                                                   254 
256   G4double z     = particle->GetPDGCharge();      255   G4double z     = particle->GetPDGCharge();
257                                                   256 
258   G4double kRt   = fWaveVector*fNuclearRadius*    257   G4double kRt   = fWaveVector*fNuclearRadius*theta;
259   G4double kRtC  = 1.9;                           258   G4double kRtC  = 1.9;
260                                                   259 
261   if( z && (kRt > kRtC) )                         260   if( z && (kRt > kRtC) )
262   {                                               261   {
263     fAddCoulomb = true;                           262     fAddCoulomb = true;
264     fBeta       = CalculateParticleBeta( parti    263     fBeta       = CalculateParticleBeta( particle, momentum);
265     fZommerfeld = CalculateZommerfeld( fBeta,     264     fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
266     fAm         = CalculateAm( momentum, fZomm    265     fAm         = CalculateAm( momentum, fZommerfeld, fAtomicNumber);
267   }                                               266   }
268   G4double sigma = fNuclearRadius*fNuclearRadi    267   G4double sigma = fNuclearRadius*fNuclearRadius*GetDiffElasticSumProb(theta);
269                                                   268 
270   return sigma;                                   269   return sigma;
271 }                                                 270 }
272                                                   271 
273 //////////////////////////////////////////////    272 ////////////////////////////////////////////////////////////////////////////
274 //                                                273 //
275 // return invariant differential elastic cross    274 // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
276 // correction                                     275 // correction
277                                                   276 
278 G4double                                          277 G4double 
279 G4DiffuseElastic::GetInvElasticSumXsc( const G    278 G4DiffuseElastic::GetInvElasticSumXsc( const G4ParticleDefinition* particle, 
280                                         G4doub    279                                         G4double tMand, 
281                       G4double plab,              280                       G4double plab, 
282                                         G4doub    281                                         G4double A, G4double Z         )
283 {                                                 282 {
284   G4double m1 = particle->GetPDGMass();           283   G4double m1 = particle->GetPDGMass();
285                                                   284 
286   G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla    285   G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
287                                                   286 
288   G4int iZ = static_cast<G4int>(Z+0.5);           287   G4int iZ = static_cast<G4int>(Z+0.5);
289   G4int iA = static_cast<G4int>(A+0.5);           288   G4int iA = static_cast<G4int>(A+0.5);
290                                                   289 
291   G4ParticleDefinition* theDef = 0;               290   G4ParticleDefinition* theDef = 0;
292                                                   291 
293   if      (iZ == 1 && iA == 1) theDef = thePro    292   if      (iZ == 1 && iA == 1) theDef = theProton;
294   else if (iZ == 1 && iA == 2) theDef = theDeu    293   else if (iZ == 1 && iA == 2) theDef = theDeuteron;
295   else if (iZ == 1 && iA == 3) theDef = G4Trit    294   else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
296   else if (iZ == 2 && iA == 3) theDef = G4He3:    295   else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
297   else if (iZ == 2 && iA == 4) theDef = theAlp    296   else if (iZ == 2 && iA == 4) theDef = theAlpha;
298   else theDef = G4ParticleTable::GetParticleTa    297   else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
299                                                   298  
300   G4double tmass = theDef->GetPDGMass();          299   G4double tmass = theDef->GetPDGMass();
301                                                   300 
302   G4LorentzVector lv(0.0,0.0,0.0,tmass);          301   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
303   lv += lv1;                                      302   lv += lv1;
304                                                   303 
305   G4ThreeVector bst = lv.boostVector();           304   G4ThreeVector bst = lv.boostVector();
306   lv1.boost(-bst);                                305   lv1.boost(-bst);
307                                                   306 
308   G4ThreeVector p1 = lv1.vect();                  307   G4ThreeVector p1 = lv1.vect();
309   G4double ptot    = p1.mag();                    308   G4double ptot    = p1.mag();
310   G4double ptot2   = ptot*ptot;                   309   G4double ptot2   = ptot*ptot;
311   G4double cost    = 1 - 0.5*std::fabs(tMand)/    310   G4double cost    = 1 - 0.5*std::fabs(tMand)/ptot2;
312                                                   311 
313   if( cost >= 1.0 )      cost = 1.0;              312   if( cost >= 1.0 )      cost = 1.0;  
314   else if( cost <= -1.0) cost = -1.0;             313   else if( cost <= -1.0) cost = -1.0;
315                                                   314   
316   G4double thetaCMS = std::acos(cost);            315   G4double thetaCMS = std::acos(cost);
317                                                   316 
318   G4double sigma = GetDiffuseElasticSumXsc( pa    317   G4double sigma = GetDiffuseElasticSumXsc( particle, thetaCMS, ptot, A, Z );
319                                                   318 
320   sigma *= pi/ptot2;                              319   sigma *= pi/ptot2;
321                                                   320 
322   return sigma;                                   321   return sigma;
323 }                                                 322 }
324                                                   323 
325 //////////////////////////////////////////////    324 ////////////////////////////////////////////////////////////////////////////
326 //                                                325 //
327 // return invariant differential elastic cross    326 // return invariant differential elastic cross section d(sigma)/d(tMand) with Coulomb
328 // correction                                     327 // correction
329                                                   328 
330 G4double                                          329 G4double 
331 G4DiffuseElastic::GetInvCoulombElasticXsc( con    330 G4DiffuseElastic::GetInvCoulombElasticXsc( const G4ParticleDefinition* particle, 
332                                         G4doub    331                                         G4double tMand, 
333                       G4double plab,              332                       G4double plab, 
334                                         G4doub    333                                         G4double A, G4double Z         )
335 {                                                 334 {
336   G4double m1 = particle->GetPDGMass();           335   G4double m1 = particle->GetPDGMass();
337   G4LorentzVector lv1(0.,0.,plab,std::sqrt(pla    336   G4LorentzVector lv1(0.,0.,plab,std::sqrt(plab*plab+m1*m1));
338                                                   337 
339   G4int iZ = static_cast<G4int>(Z+0.5);           338   G4int iZ = static_cast<G4int>(Z+0.5);
340   G4int iA = static_cast<G4int>(A+0.5);           339   G4int iA = static_cast<G4int>(A+0.5);
341   G4ParticleDefinition * theDef = 0;              340   G4ParticleDefinition * theDef = 0;
342                                                   341 
343   if      (iZ == 1 && iA == 1) theDef = thePro    342   if      (iZ == 1 && iA == 1) theDef = theProton;
344   else if (iZ == 1 && iA == 2) theDef = theDeu    343   else if (iZ == 1 && iA == 2) theDef = theDeuteron;
345   else if (iZ == 1 && iA == 3) theDef = G4Trit    344   else if (iZ == 1 && iA == 3) theDef = G4Triton::Triton();
346   else if (iZ == 2 && iA == 3) theDef = G4He3:    345   else if (iZ == 2 && iA == 3) theDef = G4He3::He3();
347   else if (iZ == 2 && iA == 4) theDef = theAlp    346   else if (iZ == 2 && iA == 4) theDef = theAlpha;
348   else theDef = G4ParticleTable::GetParticleTa    347   else theDef = G4ParticleTable::GetParticleTable()->GetIonTable()->GetIon(iZ,iA,0);
349                                                   348  
350   G4double tmass = theDef->GetPDGMass();          349   G4double tmass = theDef->GetPDGMass();
351                                                   350 
352   G4LorentzVector lv(0.0,0.0,0.0,tmass);          351   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
353   lv += lv1;                                      352   lv += lv1;
354                                                   353 
355   G4ThreeVector bst = lv.boostVector();           354   G4ThreeVector bst = lv.boostVector();
356   lv1.boost(-bst);                                355   lv1.boost(-bst);
357                                                   356 
358   G4ThreeVector p1 = lv1.vect();                  357   G4ThreeVector p1 = lv1.vect();
359   G4double ptot    = p1.mag();                    358   G4double ptot    = p1.mag();
360   G4double ptot2 = ptot*ptot;                     359   G4double ptot2 = ptot*ptot;
361   G4double cost = 1 - 0.5*std::fabs(tMand)/pto    360   G4double cost = 1 - 0.5*std::fabs(tMand)/ptot2;
362                                                   361 
363   if( cost >= 1.0 )      cost = 1.0;              362   if( cost >= 1.0 )      cost = 1.0;  
364   else if( cost <= -1.0) cost = -1.0;             363   else if( cost <= -1.0) cost = -1.0;
365                                                   364   
366   G4double thetaCMS = std::acos(cost);            365   G4double thetaCMS = std::acos(cost);
367                                                   366 
368   G4double sigma = GetCoulombElasticXsc( parti    367   G4double sigma = GetCoulombElasticXsc( particle, thetaCMS, ptot, Z );
369                                                   368 
370   sigma *= pi/ptot2;                              369   sigma *= pi/ptot2;
371                                                   370 
372   return sigma;                                   371   return sigma;
373 }                                                 372 }
374                                                   373 
375 //////////////////////////////////////////////    374 ////////////////////////////////////////////////////////////////////////////
376 //                                                375 //
377 // return differential elastic probability d(p    376 // return differential elastic probability d(probability)/d(omega) 
378                                                   377 
379 G4double                                          378 G4double 
380 G4DiffuseElastic::GetDiffElasticProb( // G4Par    379 G4DiffuseElastic::GetDiffElasticProb( // G4ParticleDefinition* particle, 
381                                         G4doub    380                                         G4double theta 
382           //  G4double momentum,                  381           //  G4double momentum, 
383           // G4double A                           382           // G4double A         
384                                      )            383                                      )
385 {                                                 384 {
386   G4double sigma, bzero, bzero2, bonebyarg, bo    385   G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
387   G4double delta, diffuse, gamma;                 386   G4double delta, diffuse, gamma;
388   G4double e1, e2, bone, bone2;                   387   G4double e1, e2, bone, bone2;
389                                                   388 
390   // G4double wavek = momentum/hbarc;  // wave    389   // G4double wavek = momentum/hbarc;  // wave vector
391   // G4double r0    = 1.08*fermi;                 390   // G4double r0    = 1.08*fermi;
392   // G4double rad   = r0*G4Pow::GetInstance()-    391   // G4double rad   = r0*G4Pow::GetInstance()->A13(A);
393                                                   392 
394   if (fParticle == theProton)                     393   if (fParticle == theProton)
395   {                                               394   {
396     diffuse = 0.63*fermi;                         395     diffuse = 0.63*fermi;
397     gamma   = 0.3*fermi;                          396     gamma   = 0.3*fermi;
398     delta   = 0.1*fermi*fermi;                    397     delta   = 0.1*fermi*fermi;
399     e1      = 0.3*fermi;                          398     e1      = 0.3*fermi;
400     e2      = 0.35*fermi;                         399     e2      = 0.35*fermi;
401   }                                               400   }
402   else if (fParticle == theNeutron)               401   else if (fParticle == theNeutron)
403   {                                               402   {
404     diffuse =  0.63*fermi; // 1.63*fermi; //      403     diffuse =  0.63*fermi; // 1.63*fermi; //
405     G4double k0 = 1*GeV/hbarc;                    404     G4double k0 = 1*GeV/hbarc;
406     diffuse *= k0/fWaveVector;                    405     diffuse *= k0/fWaveVector;
407                                                   406 
408     gamma   = 0.3*fermi;                          407     gamma   = 0.3*fermi;
409     delta   = 0.1*fermi*fermi;                    408     delta   = 0.1*fermi*fermi;
410     e1      = 0.3*fermi;                          409     e1      = 0.3*fermi;
411     e2      = 0.35*fermi;                         410     e2      = 0.35*fermi;
412   }                                               411   }
413   else // as proton, if were not defined          412   else // as proton, if were not defined 
414   {                                               413   {
415     diffuse = 0.63*fermi;                         414     diffuse = 0.63*fermi;
416     gamma   = 0.3*fermi;                          415     gamma   = 0.3*fermi;
417     delta   = 0.1*fermi*fermi;                    416     delta   = 0.1*fermi*fermi;
418     e1      = 0.3*fermi;                          417     e1      = 0.3*fermi;
419     e2      = 0.35*fermi;                         418     e2      = 0.35*fermi;
420   }                                               419   }
421   G4double kr    = fWaveVector*fNuclearRadius;    420   G4double kr    = fWaveVector*fNuclearRadius; // wavek*rad;
422   G4double kr2   = kr*kr;                         421   G4double kr2   = kr*kr;
423   G4double krt   = kr*theta;                      422   G4double krt   = kr*theta;
424                                                   423 
425   bzero      = BesselJzero(krt);                  424   bzero      = BesselJzero(krt);
426   bzero2     = bzero*bzero;                       425   bzero2     = bzero*bzero;    
427   bone       = BesselJone(krt);                   426   bone       = BesselJone(krt);
428   bone2      = bone*bone;                         427   bone2      = bone*bone;
429   bonebyarg  = BesselOneByArg(krt);               428   bonebyarg  = BesselOneByArg(krt);
430   bonebyarg2 = bonebyarg*bonebyarg;               429   bonebyarg2 = bonebyarg*bonebyarg;  
431                                                   430 
432   G4double lambda = 15.; // 15 ok                 431   G4double lambda = 15.; // 15 ok
433                                                   432 
434   //  G4double kgamma    = fWaveVector*gamma;     433   //  G4double kgamma    = fWaveVector*gamma;   // wavek*delta;
435                                                   434 
436   G4double kgamma    = lambda*(1.-G4Exp(-fWave    435   G4double kgamma    = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda));   // wavek*delta;
437   G4double kgamma2   = kgamma*kgamma;             436   G4double kgamma2   = kgamma*kgamma;
438                                                   437 
439   // G4double dk2t  = delta*fWaveVector*fWaveV    438   // G4double dk2t  = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
440   // G4double dk2t2 = dk2t*dk2t;                  439   // G4double dk2t2 = dk2t*dk2t;
441   // G4double pikdt = pi*fWaveVector*diffuse*t    440   // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
442                                                   441 
443   G4double pikdt    = lambda*(1.-G4Exp(-pi*fWa    442   G4double pikdt    = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda));   // wavek*delta;
444                                                   443 
445   damp           = DampFactor(pikdt);             444   damp           = DampFactor(pikdt);
446   damp2          = damp*damp;                     445   damp2          = damp*damp;
447                                                   446 
448   G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector    447   G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;  
449   G4double e2dk3t  = -2.*e2*delta*fWaveVector*    448   G4double e2dk3t  = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
450                                                   449 
451                                                   450 
452   sigma  = kgamma2;                               451   sigma  = kgamma2;
453   // sigma  += dk2t2;                             452   // sigma  += dk2t2;
454   sigma *= bzero2;                                453   sigma *= bzero2;
455   sigma += mode2k2*bone2 + e2dk3t*bzero*bone;     454   sigma += mode2k2*bone2 + e2dk3t*bzero*bone;
456   sigma += kr2*bonebyarg2;                        455   sigma += kr2*bonebyarg2;
457   sigma *= damp2;          // *rad*rad;           456   sigma *= damp2;          // *rad*rad;
458                                                   457 
459   return sigma;                                   458   return sigma;
460 }                                                 459 }
461                                                   460 
462 //////////////////////////////////////////////    461 ////////////////////////////////////////////////////////////////////////////
463 //                                                462 //
464 // return differential elastic probability d(p    463 // return differential elastic probability d(probability)/d(omega) with 
465 // Coulomb correction                             464 // Coulomb correction
466                                                   465 
467 G4double                                          466 G4double 
468 G4DiffuseElastic::GetDiffElasticSumProb( // G4    467 G4DiffuseElastic::GetDiffElasticSumProb( // G4ParticleDefinition* particle, 
469                                         G4doub    468                                         G4double theta 
470           //  G4double momentum,                  469           //  G4double momentum, 
471           // G4double A                           470           // G4double A         
472                                      )            471                                      )
473 {                                                 472 {
474   G4double sigma, bzero, bzero2, bonebyarg, bo    473   G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
475   G4double delta, diffuse, gamma;                 474   G4double delta, diffuse, gamma;
476   G4double e1, e2, bone, bone2;                   475   G4double e1, e2, bone, bone2;
477                                                   476 
478   // G4double wavek = momentum/hbarc;  // wave    477   // G4double wavek = momentum/hbarc;  // wave vector
479   // G4double r0    = 1.08*fermi;                 478   // G4double r0    = 1.08*fermi;
480   // G4double rad   = r0*G4Pow::GetInstance()-    479   // G4double rad   = r0*G4Pow::GetInstance()->A13(A);
481                                                   480 
482   G4double kr    = fWaveVector*fNuclearRadius;    481   G4double kr    = fWaveVector*fNuclearRadius; // wavek*rad;
483   G4double kr2   = kr*kr;                         482   G4double kr2   = kr*kr;
484   G4double krt   = kr*theta;                      483   G4double krt   = kr*theta;
485                                                   484 
486   bzero      = BesselJzero(krt);                  485   bzero      = BesselJzero(krt);
487   bzero2     = bzero*bzero;                       486   bzero2     = bzero*bzero;    
488   bone       = BesselJone(krt);                   487   bone       = BesselJone(krt);
489   bone2      = bone*bone;                         488   bone2      = bone*bone;
490   bonebyarg  = BesselOneByArg(krt);               489   bonebyarg  = BesselOneByArg(krt);
491   bonebyarg2 = bonebyarg*bonebyarg;               490   bonebyarg2 = bonebyarg*bonebyarg;  
492                                                   491 
493   if (fParticle == theProton)                     492   if (fParticle == theProton)
494   {                                               493   {
495     diffuse = 0.63*fermi;                         494     diffuse = 0.63*fermi;
496     // diffuse = 0.6*fermi;                       495     // diffuse = 0.6*fermi;
497     gamma   = 0.3*fermi;                          496     gamma   = 0.3*fermi;
498     delta   = 0.1*fermi*fermi;                    497     delta   = 0.1*fermi*fermi;
499     e1      = 0.3*fermi;                          498     e1      = 0.3*fermi;
500     e2      = 0.35*fermi;                         499     e2      = 0.35*fermi;
501   }                                               500   }
502   else if (fParticle == theNeutron)               501   else if (fParticle == theNeutron)
503   {                                               502   {
504     diffuse = 0.63*fermi;                         503     diffuse = 0.63*fermi;
505     // diffuse = 0.6*fermi;                       504     // diffuse = 0.6*fermi;
506     G4double k0 = 1*GeV/hbarc;                    505     G4double k0 = 1*GeV/hbarc;
507     diffuse *= k0/fWaveVector;                    506     diffuse *= k0/fWaveVector;
508     gamma   = 0.3*fermi;                          507     gamma   = 0.3*fermi;
509     delta   = 0.1*fermi*fermi;                    508     delta   = 0.1*fermi*fermi;
510     e1      = 0.3*fermi;                          509     e1      = 0.3*fermi;
511     e2      = 0.35*fermi;                         510     e2      = 0.35*fermi;
512   }                                               511   }
513   else // as proton, if were not defined          512   else // as proton, if were not defined 
514   {                                               513   {
515     diffuse = 0.63*fermi;                         514     diffuse = 0.63*fermi;
516     gamma   = 0.3*fermi;                          515     gamma   = 0.3*fermi;
517     delta   = 0.1*fermi*fermi;                    516     delta   = 0.1*fermi*fermi;
518     e1      = 0.3*fermi;                          517     e1      = 0.3*fermi;
519     e2      = 0.35*fermi;                         518     e2      = 0.35*fermi;
520   }                                               519   }
521   G4double lambda = 15.; // 15 ok                 520   G4double lambda = 15.; // 15 ok
522   // G4double kgamma    = fWaveVector*gamma;      521   // G4double kgamma    = fWaveVector*gamma;   // wavek*delta;
523   G4double kgamma    = lambda*(1.-G4Exp(-fWave    522   G4double kgamma    = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda));   // wavek*delta;
524                                                   523 
525   // G4cout<<"kgamma = "<<kgamma<<G4endl;         524   // G4cout<<"kgamma = "<<kgamma<<G4endl;
526                                                   525 
527   if(fAddCoulomb)  // add Coulomb correction      526   if(fAddCoulomb)  // add Coulomb correction
528   {                                               527   {
529     G4double sinHalfTheta  = std::sin(0.5*thet    528     G4double sinHalfTheta  = std::sin(0.5*theta);
530     G4double sinHalfTheta2 = sinHalfTheta*sinH    529     G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
531                                                   530 
532     kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta    531     kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
533   // kgamma += 0.65*fZommerfeld/kr/(sinHalfThe    532   // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
534   }                                               533   }
535                                                   534 
536   G4double kgamma2   = kgamma*kgamma;             535   G4double kgamma2   = kgamma*kgamma;
537                                                   536 
538   // G4double dk2t  = delta*fWaveVector*fWaveV    537   // G4double dk2t  = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
539   //   G4cout<<"dk2t = "<<dk2t<<G4endl;           538   //   G4cout<<"dk2t = "<<dk2t<<G4endl;
540   // G4double dk2t2 = dk2t*dk2t;                  539   // G4double dk2t2 = dk2t*dk2t;
541   // G4double pikdt = pi*fWaveVector*diffuse*t    540   // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
542                                                   541 
543   G4double pikdt    = lambda*(1.-G4Exp(-pi*fWa    542   G4double pikdt    = lambda*(1.-G4Exp(-pi*fWaveVector*diffuse*theta/lambda));   // wavek*delta;
544                                                   543 
545   // G4cout<<"pikdt = "<<pikdt<<G4endl;           544   // G4cout<<"pikdt = "<<pikdt<<G4endl;
546                                                   545 
547   damp           = DampFactor(pikdt);             546   damp           = DampFactor(pikdt);
548   damp2          = damp*damp;                     547   damp2          = damp*damp;
549                                                   548 
550   G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector    549   G4double mode2k2 = (e1*e1+e2*e2)*fWaveVector*fWaveVector;  
551   G4double e2dk3t  = -2.*e2*delta*fWaveVector*    550   G4double e2dk3t  = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
552                                                   551 
553   sigma  = kgamma2;                               552   sigma  = kgamma2;
554   // sigma += dk2t2;                              553   // sigma += dk2t2;
555   sigma *= bzero2;                                554   sigma *= bzero2;
556   sigma += mode2k2*bone2;                         555   sigma += mode2k2*bone2; 
557   sigma += e2dk3t*bzero*bone;                     556   sigma += e2dk3t*bzero*bone;
558                                                   557 
559   // sigma += kr2*(1 + 8.*fZommerfeld*fZommerf    558   // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2;  // correction at J1()/()
560   sigma += kr2*bonebyarg2;  // correction at J    559   sigma += kr2*bonebyarg2;  // correction at J1()/()
561                                                   560 
562   sigma *= damp2;          // *rad*rad;           561   sigma *= damp2;          // *rad*rad;
563                                                   562 
564   return sigma;                                   563   return sigma;
565 }                                                 564 }
566                                                   565 
567                                                   566 
568 //////////////////////////////////////////////    567 ////////////////////////////////////////////////////////////////////////////
569 //                                                568 //
570 // return differential elastic probability d(p    569 // return differential elastic probability d(probability)/d(t) with 
571 // Coulomb correction. It is called from Build    570 // Coulomb correction. It is called from BuildAngleTable()
572                                                   571 
573 G4double                                          572 G4double 
574 G4DiffuseElastic::GetDiffElasticSumProbA( G4do    573 G4DiffuseElastic::GetDiffElasticSumProbA( G4double alpha )
575 {                                                 574 {
576   G4double theta;                                 575   G4double theta; 
577                                                   576 
578   theta = std::sqrt(alpha);                       577   theta = std::sqrt(alpha);
579                                                   578 
580   // theta = std::acos( 1 - alpha/2. );           579   // theta = std::acos( 1 - alpha/2. );
581                                                   580 
582   G4double sigma, bzero, bzero2, bonebyarg, bo    581   G4double sigma, bzero, bzero2, bonebyarg, bonebyarg2, damp, damp2;
583   G4double delta, diffuse, gamma;                 582   G4double delta, diffuse, gamma;
584   G4double e1, e2, bone, bone2;                   583   G4double e1, e2, bone, bone2;
585                                                   584 
586   // G4double wavek = momentum/hbarc;  // wave    585   // G4double wavek = momentum/hbarc;  // wave vector
587   // G4double r0    = 1.08*fermi;                 586   // G4double r0    = 1.08*fermi;
588   // G4double rad   = r0*G4Pow::GetInstance()-    587   // G4double rad   = r0*G4Pow::GetInstance()->A13(A);
589                                                   588 
590   G4double kr    = fWaveVector*fNuclearRadius;    589   G4double kr    = fWaveVector*fNuclearRadius; // wavek*rad;
591   G4double kr2   = kr*kr;                         590   G4double kr2   = kr*kr;
592   G4double krt   = kr*theta;                      591   G4double krt   = kr*theta;
593                                                   592 
594   bzero      = BesselJzero(krt);                  593   bzero      = BesselJzero(krt);
595   bzero2     = bzero*bzero;                       594   bzero2     = bzero*bzero;    
596   bone       = BesselJone(krt);                   595   bone       = BesselJone(krt);
597   bone2      = bone*bone;                         596   bone2      = bone*bone;
598   bonebyarg  = BesselOneByArg(krt);               597   bonebyarg  = BesselOneByArg(krt);
599   bonebyarg2 = bonebyarg*bonebyarg;               598   bonebyarg2 = bonebyarg*bonebyarg;  
600                                                   599 
601   if ( fParticle == theProton )                   600   if ( fParticle == theProton )
602   {                                               601   {
603     diffuse = 0.63*fermi;                         602     diffuse = 0.63*fermi;
604     // diffuse = 0.6*fermi;                       603     // diffuse = 0.6*fermi;
605     gamma   = 0.3*fermi;                          604     gamma   = 0.3*fermi;
606     delta   = 0.1*fermi*fermi;                    605     delta   = 0.1*fermi*fermi;
607     e1      = 0.3*fermi;                          606     e1      = 0.3*fermi;
608     e2      = 0.35*fermi;                         607     e2      = 0.35*fermi;
609   }                                               608   }
610   else if ( fParticle == theNeutron )             609   else if ( fParticle == theNeutron )
611   {                                               610   {
612     diffuse = 0.63*fermi;                         611     diffuse = 0.63*fermi;
613     // diffuse = 0.6*fermi;                       612     // diffuse = 0.6*fermi;
614     // G4double k0 = 0.8*GeV/hbarc;               613     // G4double k0 = 0.8*GeV/hbarc;
615     // diffuse *= k0/fWaveVector;                 614     // diffuse *= k0/fWaveVector;
616     gamma   = 0.3*fermi;                          615     gamma   = 0.3*fermi;
617     delta   = 0.1*fermi*fermi;                    616     delta   = 0.1*fermi*fermi;
618     e1      = 0.3*fermi;                          617     e1      = 0.3*fermi;
619     e2      = 0.35*fermi;                         618     e2      = 0.35*fermi;
620   }                                               619   }
621   else // as proton, if were not defined          620   else // as proton, if were not defined 
622   {                                               621   {
623     diffuse = 0.63*fermi;                         622     diffuse = 0.63*fermi;
624     gamma   = 0.3*fermi;                          623     gamma   = 0.3*fermi;
625     delta   = 0.1*fermi*fermi;                    624     delta   = 0.1*fermi*fermi;
626     e1      = 0.3*fermi;                          625     e1      = 0.3*fermi;
627     e2      = 0.35*fermi;                         626     e2      = 0.35*fermi;
628   }                                               627   }
629   G4double lambda = 15.; // 15 ok                 628   G4double lambda = 15.; // 15 ok
630   // G4double kgamma    = fWaveVector*gamma;      629   // G4double kgamma    = fWaveVector*gamma;   // wavek*delta;
631   G4double kgamma    = lambda*(1.-G4Exp(-fWave    630   G4double kgamma    = lambda*(1.-G4Exp(-fWaveVector*gamma/lambda));   // wavek*delta;
632                                                   631 
633   // G4cout<<"kgamma = "<<kgamma<<G4endl;         632   // G4cout<<"kgamma = "<<kgamma<<G4endl;
634                                                   633 
635   if( fAddCoulomb )  // add Coulomb correction    634   if( fAddCoulomb )  // add Coulomb correction
636   {                                               635   {
637     G4double sinHalfTheta  = theta*0.5; // std    636     G4double sinHalfTheta  = theta*0.5; // std::sin(0.5*theta);
638     G4double sinHalfTheta2 = sinHalfTheta*sinH    637     G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta;
639                                                   638 
640     kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta    639     kgamma += 0.5*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
641   // kgamma += 0.65*fZommerfeld/kr/(sinHalfThe    640   // kgamma += 0.65*fZommerfeld/kr/(sinHalfTheta2+fAm); // correction at J0()
642   }                                               641   }
643   G4double kgamma2   = kgamma*kgamma;             642   G4double kgamma2   = kgamma*kgamma;
644                                                   643 
645   // G4double dk2t  = delta*fWaveVector*fWaveV    644   // G4double dk2t  = delta*fWaveVector*fWaveVector*theta; // delta*wavek*wavek*theta;
646   //   G4cout<<"dk2t = "<<dk2t<<G4endl;           645   //   G4cout<<"dk2t = "<<dk2t<<G4endl;
647   // G4double dk2t2 = dk2t*dk2t;                  646   // G4double dk2t2 = dk2t*dk2t;
648   // G4double pikdt = pi*fWaveVector*diffuse*t    647   // G4double pikdt = pi*fWaveVector*diffuse*theta;// pi*wavek*diffuse*theta;
649                                                   648 
650   G4double pikdt    = lambda*(1. - G4Exp( -pi*    649   G4double pikdt    = lambda*(1. - G4Exp( -pi*fWaveVector*diffuse*theta/lambda ) );   // wavek*delta;
651                                                   650 
652   // G4cout<<"pikdt = "<<pikdt<<G4endl;           651   // G4cout<<"pikdt = "<<pikdt<<G4endl;
653                                                   652 
654   damp           = DampFactor( pikdt );           653   damp           = DampFactor( pikdt );
655   damp2          = damp*damp;                     654   damp2          = damp*damp;
656                                                   655 
657   G4double mode2k2 = ( e1*e1 + e2*e2 )*fWaveVe    656   G4double mode2k2 = ( e1*e1 + e2*e2 )*fWaveVector*fWaveVector;  
658   G4double e2dk3t  = -2.*e2*delta*fWaveVector*    657   G4double e2dk3t  = -2.*e2*delta*fWaveVector*fWaveVector*fWaveVector*theta;
659                                                   658 
660   sigma  = kgamma2;                               659   sigma  = kgamma2;
661   // sigma += dk2t2;                              660   // sigma += dk2t2;
662   sigma *= bzero2;                                661   sigma *= bzero2;
663   sigma += mode2k2*bone2;                         662   sigma += mode2k2*bone2; 
664   sigma += e2dk3t*bzero*bone;                     663   sigma += e2dk3t*bzero*bone;
665                                                   664 
666   // sigma += kr2*(1 + 8.*fZommerfeld*fZommerf    665   // sigma += kr2*(1 + 8.*fZommerfeld*fZommerfeld/kr2)*bonebyarg2;  // correction at J1()/()
667   sigma += kr2*bonebyarg2;  // correction at J    666   sigma += kr2*bonebyarg2;  // correction at J1()/()
668                                                   667 
669   sigma *= damp2;          // *rad*rad;           668   sigma *= damp2;          // *rad*rad;
670                                                   669 
671   return sigma;                                   670   return sigma;
672 }                                                 671 }
673                                                   672 
674                                                   673 
675 //////////////////////////////////////////////    674 ////////////////////////////////////////////////////////////////////////////
676 //                                                675 //
677 // return differential elastic probability 2*p    676 // return differential elastic probability 2*pi*sin(theta)*d(probability)/d(omega) 
678                                                   677 
679 G4double                                          678 G4double 
680 G4DiffuseElastic::GetIntegrandFunction( G4doub    679 G4DiffuseElastic::GetIntegrandFunction( G4double alpha )
681 {                                                 680 {
682   G4double result;                                681   G4double result;
683                                                   682 
684   result  = GetDiffElasticSumProbA(alpha);        683   result  = GetDiffElasticSumProbA(alpha);
685                                                   684 
686   // result *= 2*pi*std::sin(theta);              685   // result *= 2*pi*std::sin(theta);
687                                                   686 
688   return result;                                  687   return result;
689 }                                                 688 }
690                                                   689 
691 //////////////////////////////////////////////    690 ////////////////////////////////////////////////////////////////////////////
692 //                                                691 //
693 // return integral elastic cross section d(sig    692 // return integral elastic cross section d(sigma)/d(omega) integrated 0 - theta 
694                                                   693 
695 G4double                                          694 G4double 
696 G4DiffuseElastic::IntegralElasticProb(  const     695 G4DiffuseElastic::IntegralElasticProb(  const G4ParticleDefinition* particle, 
697                                         G4doub    696                                         G4double theta, 
698                       G4double momentum,          697                       G4double momentum, 
699                                         G4doub    698                                         G4double A         )
700 {                                                 699 {
701   G4double result;                                700   G4double result;
702   fParticle      = particle;                      701   fParticle      = particle;
703   fWaveVector    = momentum/hbarc;                702   fWaveVector    = momentum/hbarc;
704   fAtomicWeight  = A;                             703   fAtomicWeight  = A;
705                                                   704 
706   fNuclearRadius = CalculateNuclearRad(A);        705   fNuclearRadius = CalculateNuclearRad(A);
707                                                   706 
708                                                   707 
709   G4Integrator<G4DiffuseElastic,G4double(G4Dif    708   G4Integrator<G4DiffuseElastic,G4double(G4DiffuseElastic::*)(G4double)> integral;
710                                                   709 
711   // result = integral.Legendre10(this,&G4Diff    710   // result = integral.Legendre10(this,&G4DiffuseElastic::GetIntegrandFunction, 0., theta ); 
712   result = integral.Legendre96(this,&G4Diffuse    711   result = integral.Legendre96(this,&G4DiffuseElastic::GetIntegrandFunction, 0., theta ); 
713                                                   712 
714   return result;                                  713   return result;
715 }                                                 714 }
716                                                   715 
717 //////////////////////////////////////////////    716 ////////////////////////////////////////////////////////////////////////////
718 //                                                717 //
719 // Return inv momentum transfer -t > 0            718 // Return inv momentum transfer -t > 0
720                                                   719 
721 G4double G4DiffuseElastic::SampleT( const G4Pa    720 G4double G4DiffuseElastic::SampleT( const G4ParticleDefinition* aParticle, G4double p, G4double A)
722 {                                                 721 {
723   G4double theta = SampleThetaCMS( aParticle,     722   G4double theta = SampleThetaCMS( aParticle,  p, A); // sample theta in cms
724   G4double t     = 2*p*p*( 1 - std::cos(theta)    723   G4double t     = 2*p*p*( 1 - std::cos(theta) ); // -t !!!
725   return t;                                       724   return t;
726 }                                                 725 }
727                                                   726 
728 //////////////////////////////////////////////    727 ////////////////////////////////////////////////////////////////////////////
729 //                                                728 //
730 // Return scattering angle sampled in cms         729 // Return scattering angle sampled in cms
731                                                   730 
732                                                   731 
733 G4double                                          732 G4double 
734 G4DiffuseElastic::SampleThetaCMS(const G4Parti    733 G4DiffuseElastic::SampleThetaCMS(const G4ParticleDefinition* particle, 
735                                        G4doubl    734                                        G4double momentum, G4double A)
736 {                                                 735 {
737   G4int i, iMax = 100;                            736   G4int i, iMax = 100;  
738   G4double norm, theta1, theta2, thetaMax;     << 737   G4double norm, result, theta1, theta2, thetaMax, sum = 0.;
739   G4double result = 0., sum = 0.;              << 
740                                                   738 
741   fParticle      = particle;                      739   fParticle      = particle;
742   fWaveVector    = momentum/hbarc;                740   fWaveVector    = momentum/hbarc;
743   fAtomicWeight  = A;                             741   fAtomicWeight  = A;
744                                                   742 
745   fNuclearRadius = CalculateNuclearRad(A);        743   fNuclearRadius = CalculateNuclearRad(A);
746                                                   744   
747   thetaMax = 10.174/fWaveVector/fNuclearRadius    745   thetaMax = 10.174/fWaveVector/fNuclearRadius;
748                                                   746 
749   if (thetaMax > pi) thetaMax = pi;               747   if (thetaMax > pi) thetaMax = pi;
750                                                   748 
751   G4Integrator<G4DiffuseElastic,G4double(G4Dif    749   G4Integrator<G4DiffuseElastic,G4double(G4DiffuseElastic::*)(G4double)> integral;
752                                                   750 
753   // result = integral.Legendre10(this,&G4Diff    751   // result = integral.Legendre10(this,&G4DiffuseElastic::GetIntegrandFunction, 0., theta ); 
754   norm = integral.Legendre96(this,&G4DiffuseEl    752   norm = integral.Legendre96(this,&G4DiffuseElastic::GetIntegrandFunction, 0., thetaMax );
755                                                   753 
756   norm *= G4UniformRand();                        754   norm *= G4UniformRand();
757                                                   755 
758   for(i = 1; i <= iMax; i++)                      756   for(i = 1; i <= iMax; i++)
759   {                                               757   {
760     theta1 = (i-1)*thetaMax/iMax;                 758     theta1 = (i-1)*thetaMax/iMax; 
761     theta2 = i*thetaMax/iMax;                     759     theta2 = i*thetaMax/iMax;
762     sum   += integral.Legendre10(this,&G4Diffu    760     sum   += integral.Legendre10(this,&G4DiffuseElastic::GetIntegrandFunction, theta1, theta2);
763                                                   761 
764     if ( sum >= norm )                            762     if ( sum >= norm ) 
765     {                                             763     {
766       result = 0.5*(theta1 + theta2);             764       result = 0.5*(theta1 + theta2);
767       break;                                      765       break;
768     }                                             766     }
769   }                                               767   }
770   if (i > iMax ) result = 0.5*(theta1 + theta2    768   if (i > iMax ) result = 0.5*(theta1 + theta2);
771                                                   769 
772   G4double sigma = pi*thetaMax/iMax;              770   G4double sigma = pi*thetaMax/iMax;
773                                                   771 
774   result += G4RandGauss::shoot(0.,sigma);         772   result += G4RandGauss::shoot(0.,sigma);
775                                                   773 
776   if(result < 0.) result = 0.;                    774   if(result < 0.) result = 0.;
777   if(result > thetaMax) result = thetaMax;        775   if(result > thetaMax) result = thetaMax;
778                                                   776 
779   return result;                                  777   return result;
780 }                                                 778 }
781                                                   779 
782 //////////////////////////////////////////////    780 /////////////////////////////////////////////////////////////////////////////
783 /////////////////////  Table preparation and r    781 /////////////////////  Table preparation and reading ////////////////////////
784 //////////////////////////////////////////////    782 ////////////////////////////////////////////////////////////////////////////
785 //                                                783 //
786 // Return inv momentum transfer -t > 0 from in    784 // Return inv momentum transfer -t > 0 from initialisation table
787                                                   785 
788 G4double G4DiffuseElastic::SampleInvariantT( c    786 G4double G4DiffuseElastic::SampleInvariantT( const G4ParticleDefinition* aParticle, G4double p, 
789                                                   787                                                G4int Z, G4int A)
790 {                                                 788 {
791   fParticle = aParticle;                          789   fParticle = aParticle;
792   G4double m1 = fParticle->GetPDGMass(), t;       790   G4double m1 = fParticle->GetPDGMass(), t;
793   G4double totElab = std::sqrt(m1*m1+p*p);        791   G4double totElab = std::sqrt(m1*m1+p*p);
794   G4double mass2 = G4NucleiProperties::GetNucl    792   G4double mass2 = G4NucleiProperties::GetNuclearMass(A, Z);
795   G4LorentzVector lv1(p,0.0,0.0,totElab);         793   G4LorentzVector lv1(p,0.0,0.0,totElab);
796   G4LorentzVector  lv(0.0,0.0,0.0,mass2);         794   G4LorentzVector  lv(0.0,0.0,0.0,mass2);   
797   lv += lv1;                                      795   lv += lv1;
798                                                   796 
799   G4ThreeVector bst = lv.boostVector();           797   G4ThreeVector bst = lv.boostVector();
800   lv1.boost(-bst);                                798   lv1.boost(-bst);
801                                                   799 
802   G4ThreeVector p1 = lv1.vect();                  800   G4ThreeVector p1 = lv1.vect();
803   G4double momentumCMS = p1.mag();                801   G4double momentumCMS = p1.mag();
804                                                   802   
805   if( aParticle == theNeutron)                    803   if( aParticle == theNeutron)
806   {                                               804   {
807     G4double Tmax = NeutronTuniform( Z );         805     G4double Tmax = NeutronTuniform( Z );
808     G4double pCMS2 = momentumCMS*momentumCMS;     806     G4double pCMS2 = momentumCMS*momentumCMS;
809     G4double Tkin = std::sqrt(pCMS2+m1*m1)-m1;    807     G4double Tkin = std::sqrt(pCMS2+m1*m1)-m1;
810                                                   808 
811     if( Tkin <= Tmax )                            809     if( Tkin <= Tmax )
812     {                                             810     {
813       t = 4.*pCMS2*G4UniformRand();               811       t = 4.*pCMS2*G4UniformRand();
814       // G4cout<<Tkin<<", "<<Tmax<<", "<<std::    812       // G4cout<<Tkin<<", "<<Tmax<<", "<<std::sqrt(t)<<";   ";
815       return t;                                   813       return t;
816     }                                             814     }
817   }                                               815   }
818                                                   816   
819   t = SampleTableT( aParticle,  momentumCMS, G    817   t = SampleTableT( aParticle,  momentumCMS, G4double(Z), G4double(A) ); // sample theta2 in cms
820                                                   818 
821   return t;                                       819   return t;
822 }                                                 820 }
823                                                   821 
824 //////////////////////////////////////////////    822 ///////////////////////////////////////////////////////
825                                                   823 
826 G4double G4DiffuseElastic::NeutronTuniform(G4i    824 G4double G4DiffuseElastic::NeutronTuniform(G4int Z)
827 {                                                 825 {
828   G4double elZ  = G4double(Z);                    826   G4double elZ  = G4double(Z);
829   elZ -= 1.;                                      827   elZ -= 1.;
830   // G4double Tkin = 20.*G4Exp(-elZ/10.) + 1.;    828   // G4double Tkin = 20.*G4Exp(-elZ/10.) + 1.;
831   G4double Tkin = 12.*G4Exp(-elZ/10.) + 1.;       829   G4double Tkin = 12.*G4Exp(-elZ/10.) + 1.;
832   return Tkin;                                    830   return Tkin;
833 }                                                 831 }
834                                                   832 
835                                                   833 
836 //////////////////////////////////////////////    834 ////////////////////////////////////////////////////////////////////////////
837 //                                                835 //
838 // Return inv momentum transfer -t > 0 from in    836 // Return inv momentum transfer -t > 0 from initialisation table
839                                                   837 
840 G4double G4DiffuseElastic::SampleTableT( const    838 G4double G4DiffuseElastic::SampleTableT( const G4ParticleDefinition* aParticle, G4double p, 
841                                                   839                                                G4double Z, G4double A)
842 {                                                 840 {
843   G4double alpha = SampleTableThetaCMS( aParti    841   G4double alpha = SampleTableThetaCMS( aParticle,  p, Z, A); // sample theta2 in cms
844   G4double t     = 2*p*p*( 1 - std::cos(std::s    842   G4double t     = 2*p*p*( 1 - std::cos(std::sqrt(alpha)) );             // -t !!!
845   // G4double t     = p*p*alpha;             /    843   // G4double t     = p*p*alpha;             // -t !!!
846   return t;                                       844   return t;
847 }                                                 845 }
848                                                   846 
849 //////////////////////////////////////////////    847 ////////////////////////////////////////////////////////////////////////////
850 //                                                848 //
851 // Return scattering angle2 sampled in cms acc    849 // Return scattering angle2 sampled in cms according to precalculated table.
852                                                   850 
853                                                   851 
854 G4double                                          852 G4double 
855 G4DiffuseElastic::SampleTableThetaCMS(const G4    853 G4DiffuseElastic::SampleTableThetaCMS(const G4ParticleDefinition* particle, 
856                                        G4doubl    854                                        G4double momentum, G4double Z, G4double A)
857 {                                                 855 {
858   std::size_t iElement;                        << 856   size_t iElement;
859   G4int iMomentum, iAngle;                        857   G4int iMomentum, iAngle;  
860   G4double randAngle, position, theta1, theta2    858   G4double randAngle, position, theta1, theta2, E1, E2, W1, W2, W;  
861   G4double m1 = particle->GetPDGMass();           859   G4double m1 = particle->GetPDGMass();
862                                                   860 
863   for(iElement = 0; iElement < fElementNumberV    861   for(iElement = 0; iElement < fElementNumberVector.size(); iElement++)
864   {                                               862   {
865     if( std::fabs(Z - fElementNumberVector[iEl    863     if( std::fabs(Z - fElementNumberVector[iElement]) < 0.5) break;
866   }                                               864   }
867   if ( iElement == fElementNumberVector.size()    865   if ( iElement == fElementNumberVector.size() ) 
868   {                                               866   {
869     InitialiseOnFly(Z,A); // table preparation    867     InitialiseOnFly(Z,A); // table preparation, if needed
870                                                   868 
871     // iElement--;                                869     // iElement--;
872                                                   870 
873     // G4cout << "G4DiffuseElastic: Element wi    871     // G4cout << "G4DiffuseElastic: Element with atomic number " << Z
874     // << " is not found, return zero angle" <    872     // << " is not found, return zero angle" << G4endl;
875     // return 0.; // no table for this element    873     // return 0.; // no table for this element
876   }                                               874   }
877   // G4cout<<"iElement = "<<iElement<<G4endl;     875   // G4cout<<"iElement = "<<iElement<<G4endl;
878                                                   876 
879   fAngleTable = fAngleBank[iElement];             877   fAngleTable = fAngleBank[iElement];
880                                                   878 
881   G4double kinE = std::sqrt(momentum*momentum     879   G4double kinE = std::sqrt(momentum*momentum + m1*m1) - m1;
882                                                   880 
883   for( iMomentum = 0; iMomentum < fEnergyBin;     881   for( iMomentum = 0; iMomentum < fEnergyBin; iMomentum++)
884   {                                               882   {
885     if( kinE < fEnergyVector->GetLowEdgeEnergy    883     if( kinE < fEnergyVector->GetLowEdgeEnergy(iMomentum) ) break;
886   }                                               884   }
887   if ( iMomentum >= fEnergyBin ) iMomentum = f    885   if ( iMomentum >= fEnergyBin ) iMomentum = fEnergyBin-1;   // kinE is more then theMaxEnergy
888   if ( iMomentum < 0 )           iMomentum = 0    886   if ( iMomentum < 0 )           iMomentum = 0; // against negative index, kinE < theMinEnergy
889                                                   887 
890   // G4cout<<"iMomentum = "<<iMomentum<<G4endl    888   // G4cout<<"iMomentum = "<<iMomentum<<G4endl;
891                                                   889 
892   if (iMomentum == fEnergyBin -1 || iMomentum     890   if (iMomentum == fEnergyBin -1 || iMomentum == 0 )   // the table edges
893   {                                               891   {
894     position = (*(*fAngleTable)(iMomentum))(fA    892     position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
895                                                   893 
896     // G4cout<<"position = "<<position<<G4endl    894     // G4cout<<"position = "<<position<<G4endl;
897                                                   895 
898     for(iAngle = 0; iAngle < fAngleBin-1; iAng    896     for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
899     {                                             897     {
900       if( position > (*(*fAngleTable)(iMomentu    898       if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
901     }                                             899     }
902     if (iAngle >= fAngleBin-1) iAngle = fAngle    900     if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
903                                                   901 
904     // G4cout<<"iAngle = "<<iAngle<<G4endl;       902     // G4cout<<"iAngle = "<<iAngle<<G4endl;
905                                                   903 
906     randAngle = GetScatteringAngle(iMomentum,     904     randAngle = GetScatteringAngle(iMomentum, iAngle, position);
907                                                   905 
908     // G4cout<<"randAngle = "<<randAngle<<G4en    906     // G4cout<<"randAngle = "<<randAngle<<G4endl;
909   }                                               907   }
910   else  // kinE inside between energy table ed    908   else  // kinE inside between energy table edges
911   {                                               909   {
912     // position = (*(*fAngleTable)(iMomentum))    910     // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
913     position = (*(*fAngleTable)(iMomentum))(0)    911     position = (*(*fAngleTable)(iMomentum))(0)*G4UniformRand();
914                                                   912 
915     // G4cout<<"position = "<<position<<G4endl    913     // G4cout<<"position = "<<position<<G4endl;
916                                                   914 
917     for(iAngle = 0; iAngle < fAngleBin-1; iAng    915     for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
918     {                                             916     {
919       // if( position < (*(*fAngleTable)(iMome    917       // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
920       if( position > (*(*fAngleTable)(iMomentu    918       if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
921     }                                             919     }
922     if (iAngle >= fAngleBin-1) iAngle = fAngle    920     if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
923                                                   921 
924     // G4cout<<"iAngle = "<<iAngle<<G4endl;       922     // G4cout<<"iAngle = "<<iAngle<<G4endl;
925                                                   923 
926     theta2  = GetScatteringAngle(iMomentum, iA    924     theta2  = GetScatteringAngle(iMomentum, iAngle, position);
927                                                   925 
928     // G4cout<<"theta2 = "<<theta2<<G4endl;       926     // G4cout<<"theta2 = "<<theta2<<G4endl;
929     E2 = fEnergyVector->GetLowEdgeEnergy(iMome    927     E2 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
930                                                   928 
931     // G4cout<<"E2 = "<<E2<<G4endl;               929     // G4cout<<"E2 = "<<E2<<G4endl;
932                                                   930     
933     iMomentum--;                                  931     iMomentum--;
934                                                   932     
935     // position = (*(*fAngleTable)(iMomentum))    933     // position = (*(*fAngleTable)(iMomentum))(fAngleBin-2)*G4UniformRand();
936                                                   934 
937     // G4cout<<"position = "<<position<<G4endl    935     // G4cout<<"position = "<<position<<G4endl;
938                                                   936 
939     for(iAngle = 0; iAngle < fAngleBin-1; iAng    937     for(iAngle = 0; iAngle < fAngleBin-1; iAngle++)
940     {                                             938     {
941       // if( position < (*(*fAngleTable)(iMome    939       // if( position < (*(*fAngleTable)(iMomentum))(iAngle) ) break;
942       if( position > (*(*fAngleTable)(iMomentu    940       if( position > (*(*fAngleTable)(iMomentum))(iAngle) ) break;
943     }                                             941     }
944     if (iAngle >= fAngleBin-1) iAngle = fAngle    942     if (iAngle >= fAngleBin-1) iAngle = fAngleBin-2;
945                                                   943     
946     theta1  = GetScatteringAngle(iMomentum, iA    944     theta1  = GetScatteringAngle(iMomentum, iAngle, position);
947                                                   945 
948     // G4cout<<"theta1 = "<<theta1<<G4endl;       946     // G4cout<<"theta1 = "<<theta1<<G4endl;
949                                                   947 
950     E1 = fEnergyVector->GetLowEdgeEnergy(iMome    948     E1 = fEnergyVector->GetLowEdgeEnergy(iMomentum);
951                                                   949 
952     // G4cout<<"E1 = "<<E1<<G4endl;               950     // G4cout<<"E1 = "<<E1<<G4endl;
953                                                   951 
954     W  = 1.0/(E2 - E1);                           952     W  = 1.0/(E2 - E1);
955     W1 = (E2 - kinE)*W;                           953     W1 = (E2 - kinE)*W;
956     W2 = (kinE - E1)*W;                           954     W2 = (kinE - E1)*W;
957                                                   955 
958     randAngle = W1*theta1 + W2*theta2;            956     randAngle = W1*theta1 + W2*theta2;
959                                                   957     
960     // randAngle = theta2;                        958     // randAngle = theta2;
961     // G4cout<<"randAngle = "<<randAngle<<G4en    959     // G4cout<<"randAngle = "<<randAngle<<G4endl;
962   }                                               960   }
963   // G4double angle = randAngle;                  961   // G4double angle = randAngle;
964   // if (randAngle > 0.) randAngle /= 2*pi*std    962   // if (randAngle > 0.) randAngle /= 2*pi*std::sin(angle);
965                                                   963 
966   if(randAngle < 0.) randAngle = 0.;              964   if(randAngle < 0.) randAngle = 0.;
967                                                   965 
968   return randAngle;                               966   return randAngle;
969 }                                                 967 }
970                                                   968 
971 //////////////////////////////////////////////    969 //////////////////////////////////////////////////////////////////////////////
972 //                                                970 //
973 // Initialisation for given particle on fly us    971 // Initialisation for given particle on fly using new element number
974                                                   972 
975 void G4DiffuseElastic::InitialiseOnFly(G4doubl    973 void G4DiffuseElastic::InitialiseOnFly(G4double Z, G4double A) 
976 {                                                 974 {
977   fAtomicNumber  = Z;     // atomic number        975   fAtomicNumber  = Z;     // atomic number
978   fAtomicWeight  = G4NistManager::Instance()->    976   fAtomicWeight  = G4NistManager::Instance()->GetAtomicMassAmu( static_cast< G4int >( Z ) );
979                                                   977 
980   fNuclearRadius = CalculateNuclearRad(fAtomic    978   fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
981                                                   979 
982   if( verboseLevel > 0 )                          980   if( verboseLevel > 0 )    
983   {                                               981   {
984     G4cout<<"G4DiffuseElastic::InitialiseOnFly    982     G4cout<<"G4DiffuseElastic::InitialiseOnFly() the element with Z = "
985     <<Z<<"; and A = "<<A<<G4endl;                 983     <<Z<<"; and A = "<<A<<G4endl;
986   }                                               984   }
987   fElementNumberVector.push_back(fAtomicNumber    985   fElementNumberVector.push_back(fAtomicNumber);
988                                                   986 
989   BuildAngleTable();                              987   BuildAngleTable();
990                                                   988 
991   fAngleBank.push_back(fAngleTable);              989   fAngleBank.push_back(fAngleTable);
992                                                   990 
993   return;                                         991   return;
994 }                                                 992 }
995                                                   993 
996 //////////////////////////////////////////////    994 ///////////////////////////////////////////////////////////////////////////////
997 //                                                995 //
998 // Build for given particle and element table     996 // Build for given particle and element table of momentum, angle probability.
999 // For the moment in lab system.                  997 // For the moment in lab system. 
1000                                                  998 
1001 void G4DiffuseElastic::BuildAngleTable()         999 void G4DiffuseElastic::BuildAngleTable() 
1002 {                                                1000 {
1003   G4int i, j;                                    1001   G4int i, j;
1004   G4double partMom, kinE, a = 0., z = fPartic    1002   G4double partMom, kinE, a = 0., z = fParticle->GetPDGCharge(), m1 = fParticle->GetPDGMass();
1005   G4double alpha1, alpha2, alphaMax, alphaCou    1003   G4double alpha1, alpha2, alphaMax, alphaCoulomb, delta = 0., sum = 0.;
1006                                                  1004 
1007   G4Integrator<G4DiffuseElastic,G4double(G4Di    1005   G4Integrator<G4DiffuseElastic,G4double(G4DiffuseElastic::*)(G4double)> integral;
1008                                                  1006   
1009   fAngleTable = new G4PhysicsTable( fEnergyBi    1007   fAngleTable = new G4PhysicsTable( fEnergyBin );
1010                                                  1008 
1011   for( i = 0; i < fEnergyBin; i++)               1009   for( i = 0; i < fEnergyBin; i++)
1012   {                                              1010   {
1013     kinE        = fEnergyVector->GetLowEdgeEn    1011     kinE        = fEnergyVector->GetLowEdgeEnergy(i);
1014     partMom     = std::sqrt( kinE*(kinE + 2*m    1012     partMom     = std::sqrt( kinE*(kinE + 2*m1) );
1015                                                  1013 
1016     fWaveVector = partMom/hbarc;                 1014     fWaveVector = partMom/hbarc;
1017                                                  1015 
1018     G4double kR     = fWaveVector*fNuclearRad    1016     G4double kR     = fWaveVector*fNuclearRadius;
1019     G4double kR2    = kR*kR;                     1017     G4double kR2    = kR*kR;
1020     G4double kRmax  = 18.6; // 10.6; 10.6, 18    1018     G4double kRmax  = 18.6; // 10.6; 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25.
1021     G4double kRcoul = 1.9; // 1.2; 1.4, 2.5;     1019     G4double kRcoul = 1.9; // 1.2; 1.4, 2.5; // on the first slope of J1
1022     // G4double kRlim  = 1.2;                    1020     // G4double kRlim  = 1.2;
1023     // G4double kRlim2 = kRlim*kRlim/kR2;        1021     // G4double kRlim2 = kRlim*kRlim/kR2;
1024                                                  1022 
1025     alphaMax = kRmax*kRmax/kR2;                  1023     alphaMax = kRmax*kRmax/kR2;
1026                                                  1024 
1027                                                  1025 
1028     // if (alphaMax > 4.) alphaMax = 4.;  //     1026     // if (alphaMax > 4.) alphaMax = 4.;  // vmg05-02-09: was pi2 
1029     // if ( alphaMax > 4. || alphaMax < 1. )     1027     // if ( alphaMax > 4. || alphaMax < 1. ) alphaMax = 15.;  // vmg27.11.14 
1030                                                  1028  
1031     // if ( alphaMax > 4. || alphaMax < 1. )     1029     // if ( alphaMax > 4. || alphaMax < 1. ) alphaMax = CLHEP::pi*CLHEP::pi;  // vmg06.01.15 
1032                                                  1030  
1033     // G4cout<<"alphaMax = "<<alphaMax<<", ";    1031     // G4cout<<"alphaMax = "<<alphaMax<<", ";
1034                                                  1032 
1035     if ( alphaMax >= CLHEP::pi*CLHEP::pi ) al    1033     if ( alphaMax >= CLHEP::pi*CLHEP::pi ) alphaMax = CLHEP::pi*CLHEP::pi;   // vmg21.10.15 
1036                                                  1034 
1037     alphaCoulomb = kRcoul*kRcoul/kR2;            1035     alphaCoulomb = kRcoul*kRcoul/kR2;
1038                                                  1036 
1039     if( z )                                      1037     if( z )
1040     {                                            1038     {
1041       a           = partMom/m1;         // be    1039       a           = partMom/m1;         // beta*gamma for m1
1042       fBeta       = a/std::sqrt(1+a*a);          1040       fBeta       = a/std::sqrt(1+a*a);
1043       fZommerfeld = CalculateZommerfeld( fBet    1041       fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1044       fAm         = CalculateAm( partMom, fZo    1042       fAm         = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1045     }                                            1043     }
1046     G4PhysicsFreeVector* angleVector = new G4    1044     G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1047                                                  1045 
1048     // G4PhysicsLogVector*  angleBins = new G    1046     // G4PhysicsLogVector*  angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1049                                                  1047 
1050     G4double delth = alphaMax/fAngleBin;         1048     G4double delth = alphaMax/fAngleBin;
1051                                                  1049         
1052     sum = 0.;                                    1050     sum = 0.;
1053                                                  1051 
1054     // fAddCoulomb = false;                      1052     // fAddCoulomb = false;
1055     fAddCoulomb = true;                          1053     fAddCoulomb = true;
1056                                                  1054 
1057     // for(j = 1; j < fAngleBin; j++)            1055     // for(j = 1; j < fAngleBin; j++)
1058     for(j = fAngleBin-1; j >= 1; j--)            1056     for(j = fAngleBin-1; j >= 1; j--)
1059     {                                            1057     {
1060       // alpha1 = angleBins->GetLowEdgeEnergy    1058       // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1061       // alpha2 = angleBins->GetLowEdgeEnergy    1059       // alpha2 = angleBins->GetLowEdgeEnergy(j);
1062                                                  1060 
1063       // alpha1 = alphaMax*(j-1)/fAngleBin;      1061       // alpha1 = alphaMax*(j-1)/fAngleBin;
1064       // alpha2 = alphaMax*( j )/fAngleBin;      1062       // alpha2 = alphaMax*( j )/fAngleBin;
1065                                                  1063 
1066       alpha1 = delth*(j-1);                      1064       alpha1 = delth*(j-1);
1067       // if(alpha1 < kRlim2) alpha1 = kRlim2;    1065       // if(alpha1 < kRlim2) alpha1 = kRlim2;
1068       alpha2 = alpha1 + delth;                   1066       alpha2 = alpha1 + delth;
1069                                                  1067 
1070       // if( ( alpha2 > alphaCoulomb ) && z )    1068       // if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true;
1071       if( ( alpha1 < alphaCoulomb ) && z ) fA    1069       if( ( alpha1 < alphaCoulomb ) && z ) fAddCoulomb = false;
1072                                                  1070 
1073       delta = integral.Legendre10(this, &G4Di    1071       delta = integral.Legendre10(this, &G4DiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1074       // delta = integral.Legendre96(this, &G    1072       // delta = integral.Legendre96(this, &G4DiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1075                                                  1073 
1076       sum += delta;                              1074       sum += delta;
1077                                                  1075       
1078       angleVector->PutValue( j-1 , alpha1, su    1076       angleVector->PutValue( j-1 , alpha1, sum ); // alpha2
1079       //      G4cout<<"j-1 = "<<j-1<<"; alpha << 1077       // G4cout<<"j-1 = "<<j-1<<"; alpha2 = "<<alpha2<<"; sum = "<<sum<<G4endl;
1080     }                                            1078     }
1081     fAngleTable->insertAt(i, angleVector);       1079     fAngleTable->insertAt(i, angleVector);
1082                                                  1080 
1083     // delete[] angleVector;                     1081     // delete[] angleVector; 
1084     // delete[] angleBins;                       1082     // delete[] angleBins; 
1085   }                                              1083   }
1086   return;                                        1084   return;
1087 }                                                1085 }
1088                                                  1086 
1089 /////////////////////////////////////////////    1087 /////////////////////////////////////////////////////////////////////////////////
1090 //                                               1088 //
1091 //                                               1089 //
1092                                                  1090 
1093 G4double                                         1091 G4double 
1094 G4DiffuseElastic:: GetScatteringAngle( G4int     1092 G4DiffuseElastic:: GetScatteringAngle( G4int iMomentum, G4int iAngle, G4double position )
1095 {                                                1093 {
1096  G4double x1, x2, y1, y2, randAngle;             1094  G4double x1, x2, y1, y2, randAngle;
1097                                                  1095 
1098   if( iAngle == 0 )                              1096   if( iAngle == 0 )
1099   {                                              1097   {
1100     randAngle = (*fAngleTable)(iMomentum)->Ge    1098     randAngle = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1101     // iAngle++;                                 1099     // iAngle++;
1102   }                                              1100   }
1103   else                                           1101   else
1104   {                                              1102   {
1105     if ( iAngle >= G4int((*fAngleTable)(iMome    1103     if ( iAngle >= G4int((*fAngleTable)(iMomentum)->GetVectorLength()) )
1106     {                                            1104     {
1107       iAngle = G4int((*fAngleTable)(iMomentum << 1105       iAngle = (*fAngleTable)(iMomentum)->GetVectorLength() - 1;
1108     }                                            1106     }
1109     y1 = (*(*fAngleTable)(iMomentum))(iAngle-    1107     y1 = (*(*fAngleTable)(iMomentum))(iAngle-1);
1110     y2 = (*(*fAngleTable)(iMomentum))(iAngle)    1108     y2 = (*(*fAngleTable)(iMomentum))(iAngle);
1111                                                  1109 
1112     x1 = (*fAngleTable)(iMomentum)->GetLowEdg    1110     x1 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle-1);
1113     x2 = (*fAngleTable)(iMomentum)->GetLowEdg    1111     x2 = (*fAngleTable)(iMomentum)->GetLowEdgeEnergy(iAngle);
1114                                                  1112 
1115     if ( x1 == x2 )   randAngle = x2;            1113     if ( x1 == x2 )   randAngle = x2;
1116     else                                         1114     else
1117     {                                            1115     {
1118       if ( y1 == y2 ) randAngle = x1 + ( x2 -    1116       if ( y1 == y2 ) randAngle = x1 + ( x2 - x1 )*G4UniformRand();
1119       else                                       1117       else
1120       {                                          1118       {
1121         randAngle = x1 + ( position - y1 )*(     1119         randAngle = x1 + ( position - y1 )*( x2 - x1 )/( y2 - y1 );
1122       }                                          1120       }
1123     }                                            1121     }
1124   }                                              1122   }
1125   return randAngle;                              1123   return randAngle;
1126 }                                                1124 }
1127                                                  1125 
1128                                                  1126 
1129                                                  1127 
1130 /////////////////////////////////////////////    1128 ////////////////////////////////////////////////////////////////////////////
1131 //                                               1129 //
1132 // Return scattering angle sampled in lab sys    1130 // Return scattering angle sampled in lab system (target at rest)
1133                                                  1131 
1134                                                  1132 
1135                                                  1133 
1136 G4double                                         1134 G4double 
1137 G4DiffuseElastic::SampleThetaLab( const G4Had    1135 G4DiffuseElastic::SampleThetaLab( const G4HadProjectile* aParticle, 
1138                                         G4dou    1136                                         G4double tmass, G4double A)
1139 {                                                1137 {
1140   const G4ParticleDefinition* theParticle = a    1138   const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1141   G4double m1 = theParticle->GetPDGMass();       1139   G4double m1 = theParticle->GetPDGMass();
1142   G4double plab = aParticle->GetTotalMomentum    1140   G4double plab = aParticle->GetTotalMomentum();
1143   G4LorentzVector lv1 = aParticle->Get4Moment    1141   G4LorentzVector lv1 = aParticle->Get4Momentum();
1144   G4LorentzVector lv(0.0,0.0,0.0,tmass);         1142   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
1145   lv += lv1;                                     1143   lv += lv1;
1146                                                  1144 
1147   G4ThreeVector bst = lv.boostVector();          1145   G4ThreeVector bst = lv.boostVector();
1148   lv1.boost(-bst);                               1146   lv1.boost(-bst);
1149                                                  1147 
1150   G4ThreeVector p1 = lv1.vect();                 1148   G4ThreeVector p1 = lv1.vect();
1151   G4double ptot    = p1.mag();                   1149   G4double ptot    = p1.mag();
1152   G4double tmax    = 4.0*ptot*ptot;              1150   G4double tmax    = 4.0*ptot*ptot;
1153   G4double t       = 0.0;                        1151   G4double t       = 0.0;
1154                                                  1152 
1155                                                  1153 
1156   //                                             1154   //
1157   // Sample t                                    1155   // Sample t
1158   //                                             1156   //
1159                                                  1157   
1160   t = SampleT( theParticle, ptot, A);            1158   t = SampleT( theParticle, ptot, A);
1161                                                  1159 
1162   // NaN finder                                  1160   // NaN finder
1163   if(!(t < 0.0 || t >= 0.0))                     1161   if(!(t < 0.0 || t >= 0.0)) 
1164   {                                              1162   {
1165     if (verboseLevel > 0)                        1163     if (verboseLevel > 0) 
1166     {                                            1164     {
1167       G4cout << "G4DiffuseElastic:WARNING: A     1165       G4cout << "G4DiffuseElastic:WARNING: A = " << A 
1168        << " mom(GeV)= " << plab/GeV              1166        << " mom(GeV)= " << plab/GeV 
1169              << " S-wave will be sampled"        1167              << " S-wave will be sampled" 
1170        << G4endl;                                1168        << G4endl; 
1171     }                                            1169     }
1172     t = G4UniformRand()*tmax;                    1170     t = G4UniformRand()*tmax; 
1173   }                                              1171   }
1174   if(verboseLevel>1)                             1172   if(verboseLevel>1)
1175   {                                              1173   {
1176     G4cout <<" t= " << t << " tmax= " << tmax    1174     G4cout <<" t= " << t << " tmax= " << tmax 
1177      << " ptot= " << ptot << G4endl;             1175      << " ptot= " << ptot << G4endl;
1178   }                                              1176   }
1179   // Sampling of angles in CM system             1177   // Sampling of angles in CM system
1180                                                  1178 
1181   G4double phi  = G4UniformRand()*twopi;         1179   G4double phi  = G4UniformRand()*twopi;
1182   G4double cost = 1. - 2.0*t/tmax;               1180   G4double cost = 1. - 2.0*t/tmax;
1183   G4double sint;                                 1181   G4double sint;
1184                                                  1182 
1185   if( cost >= 1.0 )                              1183   if( cost >= 1.0 ) 
1186   {                                              1184   {
1187     cost = 1.0;                                  1185     cost = 1.0;
1188     sint = 0.0;                                  1186     sint = 0.0;
1189   }                                              1187   }
1190   else if( cost <= -1.0)                         1188   else if( cost <= -1.0) 
1191   {                                              1189   {
1192     cost = -1.0;                                 1190     cost = -1.0;
1193     sint =  0.0;                                 1191     sint =  0.0;
1194   }                                              1192   }
1195   else                                           1193   else  
1196   {                                              1194   {
1197     sint = std::sqrt((1.0-cost)*(1.0+cost));     1195     sint = std::sqrt((1.0-cost)*(1.0+cost));
1198   }                                              1196   }    
1199   if (verboseLevel>1)                            1197   if (verboseLevel>1) 
1200   {                                              1198   {
1201     G4cout << "cos(t)=" << cost << " std::sin    1199     G4cout << "cos(t)=" << cost << " std::sin(t)=" << sint << G4endl;
1202   }                                              1200   }
1203   G4ThreeVector v1(sint*std::cos(phi),sint*st    1201   G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1204   v1 *= ptot;                                    1202   v1 *= ptot;
1205   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s    1203   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1206                                                  1204 
1207   nlv1.boost(bst);                               1205   nlv1.boost(bst); 
1208                                                  1206 
1209   G4ThreeVector np1 = nlv1.vect();               1207   G4ThreeVector np1 = nlv1.vect();
1210                                                  1208 
1211     // G4double theta = std::acos( np1.z()/np    1209     // G4double theta = std::acos( np1.z()/np1.mag() );  // degree;
1212                                                  1210 
1213   G4double theta = np1.theta();                  1211   G4double theta = np1.theta();
1214                                                  1212 
1215   return theta;                                  1213   return theta;
1216 }                                                1214 }
1217                                                  1215 
1218 /////////////////////////////////////////////    1216 ////////////////////////////////////////////////////////////////////////////
1219 //                                               1217 //
1220 // Return scattering angle in lab system (tar    1218 // Return scattering angle in lab system (target at rest) knowing theta in CMS
1221                                                  1219 
1222                                                  1220 
1223                                                  1221 
1224 G4double                                         1222 G4double 
1225 G4DiffuseElastic::ThetaCMStoThetaLab( const G    1223 G4DiffuseElastic::ThetaCMStoThetaLab( const G4DynamicParticle* aParticle, 
1226                                         G4dou    1224                                         G4double tmass, G4double thetaCMS)
1227 {                                                1225 {
1228   const G4ParticleDefinition* theParticle = a    1226   const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1229   G4double m1 = theParticle->GetPDGMass();       1227   G4double m1 = theParticle->GetPDGMass();
1230   // G4double plab = aParticle->GetTotalMomen    1228   // G4double plab = aParticle->GetTotalMomentum();
1231   G4LorentzVector lv1 = aParticle->Get4Moment    1229   G4LorentzVector lv1 = aParticle->Get4Momentum();
1232   G4LorentzVector lv(0.0,0.0,0.0,tmass);         1230   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
1233                                                  1231 
1234   lv += lv1;                                     1232   lv += lv1;
1235                                                  1233 
1236   G4ThreeVector bst = lv.boostVector();          1234   G4ThreeVector bst = lv.boostVector();
1237                                                  1235 
1238   lv1.boost(-bst);                               1236   lv1.boost(-bst);
1239                                                  1237 
1240   G4ThreeVector p1 = lv1.vect();                 1238   G4ThreeVector p1 = lv1.vect();
1241   G4double ptot    = p1.mag();                   1239   G4double ptot    = p1.mag();
1242                                                  1240 
1243   G4double phi  = G4UniformRand()*twopi;         1241   G4double phi  = G4UniformRand()*twopi;
1244   G4double cost = std::cos(thetaCMS);            1242   G4double cost = std::cos(thetaCMS);
1245   G4double sint;                                 1243   G4double sint;
1246                                                  1244 
1247   if( cost >= 1.0 )                              1245   if( cost >= 1.0 ) 
1248   {                                              1246   {
1249     cost = 1.0;                                  1247     cost = 1.0;
1250     sint = 0.0;                                  1248     sint = 0.0;
1251   }                                              1249   }
1252   else if( cost <= -1.0)                         1250   else if( cost <= -1.0) 
1253   {                                              1251   {
1254     cost = -1.0;                                 1252     cost = -1.0;
1255     sint =  0.0;                                 1253     sint =  0.0;
1256   }                                              1254   }
1257   else                                           1255   else  
1258   {                                              1256   {
1259     sint = std::sqrt((1.0-cost)*(1.0+cost));     1257     sint = std::sqrt((1.0-cost)*(1.0+cost));
1260   }                                              1258   }    
1261   if (verboseLevel>1)                            1259   if (verboseLevel>1) 
1262   {                                              1260   {
1263     G4cout << "cos(tcms)=" << cost << " std::    1261     G4cout << "cos(tcms)=" << cost << " std::sin(tcms)=" << sint << G4endl;
1264   }                                              1262   }
1265   G4ThreeVector v1(sint*std::cos(phi),sint*st    1263   G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1266   v1 *= ptot;                                    1264   v1 *= ptot;
1267   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s    1265   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(ptot*ptot + m1*m1));
1268                                                  1266 
1269   nlv1.boost(bst);                               1267   nlv1.boost(bst); 
1270                                                  1268 
1271   G4ThreeVector np1 = nlv1.vect();               1269   G4ThreeVector np1 = nlv1.vect();
1272                                                  1270 
1273                                                  1271 
1274   G4double thetaLab = np1.theta();               1272   G4double thetaLab = np1.theta();
1275                                                  1273 
1276   return thetaLab;                               1274   return thetaLab;
1277 }                                                1275 }
1278 /////////////////////////////////////////////    1276 ////////////////////////////////////////////////////////////////////////////
1279 //                                               1277 //
1280 // Return scattering angle in CMS system (tar    1278 // Return scattering angle in CMS system (target at rest) knowing theta in Lab
1281                                                  1279 
1282                                                  1280 
1283                                                  1281 
1284 G4double                                         1282 G4double 
1285 G4DiffuseElastic::ThetaLabToThetaCMS( const G    1283 G4DiffuseElastic::ThetaLabToThetaCMS( const G4DynamicParticle* aParticle, 
1286                                         G4dou    1284                                         G4double tmass, G4double thetaLab)
1287 {                                                1285 {
1288   const G4ParticleDefinition* theParticle = a    1286   const G4ParticleDefinition* theParticle = aParticle->GetDefinition();
1289   G4double m1 = theParticle->GetPDGMass();       1287   G4double m1 = theParticle->GetPDGMass();
1290   G4double plab = aParticle->GetTotalMomentum    1288   G4double plab = aParticle->GetTotalMomentum();
1291   G4LorentzVector lv1 = aParticle->Get4Moment    1289   G4LorentzVector lv1 = aParticle->Get4Momentum();
1292   G4LorentzVector lv(0.0,0.0,0.0,tmass);         1290   G4LorentzVector lv(0.0,0.0,0.0,tmass);   
1293                                                  1291 
1294   lv += lv1;                                     1292   lv += lv1;
1295                                                  1293 
1296   G4ThreeVector bst = lv.boostVector();          1294   G4ThreeVector bst = lv.boostVector();
1297                                                  1295 
1298   // lv1.boost(-bst);                            1296   // lv1.boost(-bst);
1299                                                  1297 
1300   // G4ThreeVector p1 = lv1.vect();              1298   // G4ThreeVector p1 = lv1.vect();
1301   // G4double ptot    = p1.mag();                1299   // G4double ptot    = p1.mag();
1302                                                  1300 
1303   G4double phi  = G4UniformRand()*twopi;         1301   G4double phi  = G4UniformRand()*twopi;
1304   G4double cost = std::cos(thetaLab);            1302   G4double cost = std::cos(thetaLab);
1305   G4double sint;                                 1303   G4double sint;
1306                                                  1304 
1307   if( cost >= 1.0 )                              1305   if( cost >= 1.0 ) 
1308   {                                              1306   {
1309     cost = 1.0;                                  1307     cost = 1.0;
1310     sint = 0.0;                                  1308     sint = 0.0;
1311   }                                              1309   }
1312   else if( cost <= -1.0)                         1310   else if( cost <= -1.0) 
1313   {                                              1311   {
1314     cost = -1.0;                                 1312     cost = -1.0;
1315     sint =  0.0;                                 1313     sint =  0.0;
1316   }                                              1314   }
1317   else                                           1315   else  
1318   {                                              1316   {
1319     sint = std::sqrt((1.0-cost)*(1.0+cost));     1317     sint = std::sqrt((1.0-cost)*(1.0+cost));
1320   }                                              1318   }    
1321   if (verboseLevel>1)                            1319   if (verboseLevel>1) 
1322   {                                              1320   {
1323     G4cout << "cos(tlab)=" << cost << " std::    1321     G4cout << "cos(tlab)=" << cost << " std::sin(tlab)=" << sint << G4endl;
1324   }                                              1322   }
1325   G4ThreeVector v1(sint*std::cos(phi),sint*st    1323   G4ThreeVector v1(sint*std::cos(phi),sint*std::sin(phi),cost);
1326   v1 *= plab;                                    1324   v1 *= plab;
1327   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),s    1325   G4LorentzVector nlv1(v1.x(),v1.y(),v1.z(),std::sqrt(plab*plab + m1*m1));
1328                                                  1326 
1329   nlv1.boost(-bst);                              1327   nlv1.boost(-bst); 
1330                                                  1328 
1331   G4ThreeVector np1 = nlv1.vect();               1329   G4ThreeVector np1 = nlv1.vect();
1332                                                  1330 
1333                                                  1331 
1334   G4double thetaCMS = np1.theta();               1332   G4double thetaCMS = np1.theta();
1335                                                  1333 
1336   return thetaCMS;                               1334   return thetaCMS;
1337 }                                                1335 }
1338                                                  1336 
1339 /////////////////////////////////////////////    1337 ///////////////////////////////////////////////////////////////////////////////
1340 //                                               1338 //
1341 // Test for given particle and element table     1339 // Test for given particle and element table of momentum, angle probability.
1342 // For the moment in lab system.                 1340 // For the moment in lab system. 
1343                                                  1341 
1344 void G4DiffuseElastic::TestAngleTable(const G    1342 void G4DiffuseElastic::TestAngleTable(const G4ParticleDefinition* theParticle, G4double partMom,
1345                                             G    1343                                             G4double Z, G4double A) 
1346 {                                                1344 {
1347   fAtomicNumber  = Z;     // atomic number       1345   fAtomicNumber  = Z;     // atomic number
1348   fAtomicWeight  = A;     // number of nucleo    1346   fAtomicWeight  = A;     // number of nucleons
1349   fNuclearRadius = CalculateNuclearRad(fAtomi    1347   fNuclearRadius = CalculateNuclearRad(fAtomicWeight);
1350                                                  1348   
1351                                                  1349      
1352                                                  1350   
1353   G4cout<<"G4DiffuseElastic::TestAngleTable()    1351   G4cout<<"G4DiffuseElastic::TestAngleTable() init the element with Z = "
1354     <<Z<<"; and A = "<<A<<G4endl;                1352     <<Z<<"; and A = "<<A<<G4endl;
1355                                                  1353  
1356   fElementNumberVector.push_back(fAtomicNumbe    1354   fElementNumberVector.push_back(fAtomicNumber);
1357                                                  1355 
1358                                                  1356  
1359                                                  1357 
1360                                                  1358 
1361   G4int i=0, j;                                  1359   G4int i=0, j;
1362   G4double a = 0., z = theParticle->GetPDGCha    1360   G4double a = 0., z = theParticle->GetPDGCharge(),  m1 = fParticle->GetPDGMass();
1363   G4double alpha1=0., alpha2=0., alphaMax=0.,    1361   G4double alpha1=0., alpha2=0., alphaMax=0., alphaCoulomb=0.;
1364   G4double deltaL10 = 0., deltaL96 = 0., delt    1362   G4double deltaL10 = 0., deltaL96 = 0., deltaAG = 0.;
1365   G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0.    1363   G4double sumL10 = 0.,sumL96 = 0.,sumAG = 0.;
1366   G4double epsilon = 0.001;                      1364   G4double epsilon = 0.001;
1367                                                  1365 
1368   G4Integrator<G4DiffuseElastic,G4double(G4Di    1366   G4Integrator<G4DiffuseElastic,G4double(G4DiffuseElastic::*)(G4double)> integral;
1369                                                  1367   
1370   fAngleTable = new G4PhysicsTable(fEnergyBin    1368   fAngleTable = new G4PhysicsTable(fEnergyBin);
1371                                                  1369 
1372   fWaveVector = partMom/hbarc;                   1370   fWaveVector = partMom/hbarc;
1373                                                  1371 
1374   G4double kR     = fWaveVector*fNuclearRadiu    1372   G4double kR     = fWaveVector*fNuclearRadius;
1375   G4double kR2    = kR*kR;                       1373   G4double kR2    = kR*kR;
1376   G4double kRmax  = 10.6; // 10.6, 18, 10.174    1374   G4double kRmax  = 10.6; // 10.6, 18, 10.174; ~ 3 maxima of J1 or 15., 25.
1377   G4double kRcoul = 1.2; // 1.4, 2.5; // on t    1375   G4double kRcoul = 1.2; // 1.4, 2.5; // on the first slope of J1
1378                                                  1376 
1379   alphaMax = kRmax*kRmax/kR2;                    1377   alphaMax = kRmax*kRmax/kR2;
1380                                                  1378 
1381   if (alphaMax > 4.) alphaMax = 4.;  // vmg05    1379   if (alphaMax > 4.) alphaMax = 4.;  // vmg05-02-09: was pi2 
1382                                                  1380 
1383   alphaCoulomb = kRcoul*kRcoul/kR2;              1381   alphaCoulomb = kRcoul*kRcoul/kR2;
1384                                                  1382 
1385   if( z )                                        1383   if( z )
1386   {                                              1384   {
1387       a           = partMom/m1; // beta*gamma    1385       a           = partMom/m1; // beta*gamma for m1
1388       fBeta       = a/std::sqrt(1+a*a);          1386       fBeta       = a/std::sqrt(1+a*a);
1389       fZommerfeld = CalculateZommerfeld( fBet    1387       fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber);
1390       fAm         = CalculateAm( partMom, fZo    1388       fAm         = CalculateAm( partMom, fZommerfeld, fAtomicNumber);
1391   }                                              1389   }
1392   G4PhysicsFreeVector* angleVector = new G4Ph    1390   G4PhysicsFreeVector* angleVector = new G4PhysicsFreeVector(fAngleBin-1);
1393                                                  1391 
1394   // G4PhysicsLogVector*  angleBins = new G4P    1392   // G4PhysicsLogVector*  angleBins = new G4PhysicsLogVector( 0.001*alphaMax, alphaMax, fAngleBin );
1395                                                  1393     
1396                                                  1394   
1397   fAddCoulomb = false;                           1395   fAddCoulomb = false;
1398                                                  1396 
1399   for(j = 1; j < fAngleBin; j++)                 1397   for(j = 1; j < fAngleBin; j++)
1400   {                                              1398   {
1401       // alpha1 = angleBins->GetLowEdgeEnergy    1399       // alpha1 = angleBins->GetLowEdgeEnergy(j-1);
1402       // alpha2 = angleBins->GetLowEdgeEnergy    1400       // alpha2 = angleBins->GetLowEdgeEnergy(j);
1403                                                  1401 
1404     alpha1 = alphaMax*(j-1)/fAngleBin;           1402     alpha1 = alphaMax*(j-1)/fAngleBin;
1405     alpha2 = alphaMax*( j )/fAngleBin;           1403     alpha2 = alphaMax*( j )/fAngleBin;
1406                                                  1404 
1407     if( ( alpha2 > alphaCoulomb ) && z ) fAdd    1405     if( ( alpha2 > alphaCoulomb ) && z ) fAddCoulomb = true;
1408                                                  1406 
1409     deltaL10 = integral.Legendre10(this, &G4D    1407     deltaL10 = integral.Legendre10(this, &G4DiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1410     deltaL96 = integral.Legendre96(this, &G4D    1408     deltaL96 = integral.Legendre96(this, &G4DiffuseElastic::GetIntegrandFunction, alpha1, alpha2);
1411     deltaAG  = integral.AdaptiveGauss(this, &    1409     deltaAG  = integral.AdaptiveGauss(this, &G4DiffuseElastic::GetIntegrandFunction, 
1412                                        alpha1    1410                                        alpha1, alpha2,epsilon);
1413                                                  1411 
1414       // G4cout<<alpha1<<"\t"<<std::sqrt(alph    1412       // G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1415       //     <<deltaL10<<"\t"<<deltaL96<<"\t"    1413       //     <<deltaL10<<"\t"<<deltaL96<<"\t"<<deltaAG<<G4endl;
1416                                                  1414 
1417     sumL10 += deltaL10;                          1415     sumL10 += deltaL10;
1418     sumL96 += deltaL96;                          1416     sumL96 += deltaL96;
1419     sumAG  += deltaAG;                           1417     sumAG  += deltaAG;
1420                                                  1418 
1421     G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/d    1419     G4cout<<alpha1<<"\t"<<std::sqrt(alpha1)/degree<<"\t"
1422             <<sumL10<<"\t"<<sumL96<<"\t"<<sum    1420             <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1423                                                  1421       
1424     angleVector->PutValue( j-1 , alpha1, sumL    1422     angleVector->PutValue( j-1 , alpha1, sumL10 ); // alpha2
1425   }                                              1423   }
1426   fAngleTable->insertAt(i,angleVector);          1424   fAngleTable->insertAt(i,angleVector);
1427   fAngleBank.push_back(fAngleTable);             1425   fAngleBank.push_back(fAngleTable);
1428                                                  1426 
1429   /*                                             1427   /*
1430   // Integral over all angle range - Bad accu    1428   // Integral over all angle range - Bad accuracy !!!
1431                                                  1429 
1432   sumL10 = integral.Legendre10(this, &G4Diffu    1430   sumL10 = integral.Legendre10(this, &G4DiffuseElastic::GetIntegrandFunction, 0., alpha2);
1433   sumL96 = integral.Legendre96(this, &G4Diffu    1431   sumL96 = integral.Legendre96(this, &G4DiffuseElastic::GetIntegrandFunction, 0., alpha2);
1434   sumAG  = integral.AdaptiveGauss(this, &G4Di    1432   sumAG  = integral.AdaptiveGauss(this, &G4DiffuseElastic::GetIntegrandFunction, 
1435                                        0., al    1433                                        0., alpha2,epsilon);
1436   G4cout<<G4endl;                                1434   G4cout<<G4endl;
1437   G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/deg    1435   G4cout<<alpha2<<"\t"<<std::sqrt(alpha2)/degree<<"\t"
1438             <<sumL10<<"\t"<<sumL96<<"\t"<<sum    1436             <<sumL10<<"\t"<<sumL96<<"\t"<<sumAG<<G4endl;
1439   */                                             1437   */
1440   return;                                        1438   return;
1441 }                                                1439 }
1442                                                  1440 
1443 //                                               1441 //
1444 //                                               1442 //
1445 /////////////////////////////////////////////    1443 /////////////////////////////////////////////////////////////////////////////////
1446                                                  1444