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25 // 25 //
26 // 26 //
27 // Author: D.H. Wright 27 // Author: D.H. Wright
28 // Date: 1 February 2011 28 // Date: 1 February 2011
29 // 29 //
30 // Modified: 30 // Modified:
31 // 31 //
32 // 19 Aug 2011, V.Ivanchenko move to new desig 32 // 19 Aug 2011, V.Ivanchenko move to new design and make x-section per element
33 33
34 // Description: use Kokoulin's parameterized c 34 // Description: use Kokoulin's parameterized calculation of virtual
35 // photon production cross sectio 35 // photon production cross section and conversion to
36 // real photons. 36 // real photons.
37 37
38 #include "G4KokoulinMuonNuclearXS.hh" 38 #include "G4KokoulinMuonNuclearXS.hh"
39 39
40 #include "G4PhysicalConstants.hh" 40 #include "G4PhysicalConstants.hh"
41 #include "G4SystemOfUnits.hh" 41 #include "G4SystemOfUnits.hh"
42 #include "G4PhysicsLogVector.hh" 42 #include "G4PhysicsLogVector.hh"
43 #include "G4PhysicsVector.hh" 43 #include "G4PhysicsVector.hh"
44 #include "G4MuonMinus.hh" 44 #include "G4MuonMinus.hh"
45 #include "G4MuonPlus.hh" 45 #include "G4MuonPlus.hh"
46 #include "G4NucleiProperties.hh" 46 #include "G4NucleiProperties.hh"
47 #include "G4NistManager.hh" 47 #include "G4NistManager.hh"
48 #include "G4Log.hh" 48 #include "G4Log.hh"
49 #include "G4Exp.hh" 49 #include "G4Exp.hh"
50 50
51 // factory 51 // factory
52 #include "G4CrossSectionFactory.hh" 52 #include "G4CrossSectionFactory.hh"
53 // 53 //
54 G4_DECLARE_XS_FACTORY(G4KokoulinMuonNuclearXS) 54 G4_DECLARE_XS_FACTORY(G4KokoulinMuonNuclearXS);
55 55
56 G4PhysicsVector* G4KokoulinMuonNuclearXS::theC 56 G4PhysicsVector* G4KokoulinMuonNuclearXS::theCrossSection[] = {0};
57 57
58 G4KokoulinMuonNuclearXS::G4KokoulinMuonNuclear 58 G4KokoulinMuonNuclearXS::G4KokoulinMuonNuclearXS()
59 :G4VCrossSectionDataSet(Default_Name()), 59 :G4VCrossSectionDataSet(Default_Name()),
60 LowestKineticEnergy(1*GeV), HighestKineticEn 60 LowestKineticEnergy(1*GeV), HighestKineticEnergy(1*PeV),
61 TotBin(60), CutFixed(0.2*GeV), isInitialized 61 TotBin(60), CutFixed(0.2*GeV), isInitialized(false), isMaster(false)
62 {} 62 {}
63 63
64 G4KokoulinMuonNuclearXS::~G4KokoulinMuonNuclea 64 G4KokoulinMuonNuclearXS::~G4KokoulinMuonNuclearXS()
65 { 65 {
66 if (isMaster) { 66 if (isMaster) {
67 for(G4int i=0; i<MAXZMUN; ++i) { 67 for(G4int i=0; i<MAXZMUN; ++i) {
68 delete theCrossSection[i]; 68 delete theCrossSection[i];
69 theCrossSection[i] = 0; 69 theCrossSection[i] = 0;
70 } 70 }
71 } 71 }
72 } 72 }
73 73
74 74
75 void 75 void
76 G4KokoulinMuonNuclearXS::CrossSectionDescripti 76 G4KokoulinMuonNuclearXS::CrossSectionDescription(std::ostream& outFile) const
77 { 77 {
78 outFile << "G4KokoulinMuonNuclearXS provid 78 outFile << "G4KokoulinMuonNuclearXS provides the total inelastic\n"
79 << "cross section for mu- and mu+ interact 79 << "cross section for mu- and mu+ interactions with nuclei.\n"
80 << "R. Kokoulin's approximation of the Bor 80 << "R. Kokoulin's approximation of the Borog and Petrukhin double\n"
81 << "differential cross section at high ene 81 << "differential cross section at high energy and low Q**2 is integrated\n"
82 << "over the muon energy loss to get the t 82 << "over the muon energy loss to get the total cross section as a\n"
83 << "function of muon kinetic energy\n" ; 83 << "function of muon kinetic energy\n" ;
84 } 84 }
85 85
86 86
87 G4bool 87 G4bool
88 G4KokoulinMuonNuclearXS::IsElementApplicable(c 88 G4KokoulinMuonNuclearXS::IsElementApplicable(const G4DynamicParticle*,
89 G4int, const G4Material*) 89 G4int, const G4Material*)
90 { 90 {
91 return true; 91 return true;
92 } 92 }
93 93
94 void 94 void
95 G4KokoulinMuonNuclearXS::BuildPhysicsTable(con 95 G4KokoulinMuonNuclearXS::BuildPhysicsTable(const G4ParticleDefinition&)
96 { 96 {
97 if(!isInitialized) { 97 if(!isInitialized) {
98 isInitialized = true; 98 isInitialized = true;
99 for(G4int i=0; i<MAXZMUN; ++i) { 99 for(G4int i=0; i<MAXZMUN; ++i) {
100 if(theCrossSection[i]) { return; } 100 if(theCrossSection[i]) { return; }
101 } 101 }
102 isMaster = true; 102 isMaster = true;
103 } 103 }
104 if(isMaster) { BuildCrossSectionTable(); } 104 if(isMaster) { BuildCrossSectionTable(); }
105 } 105 }
106 106
107 void G4KokoulinMuonNuclearXS::BuildCrossSectio 107 void G4KokoulinMuonNuclearXS::BuildCrossSectionTable()
108 { 108 {
109 G4double energy, A, Value; 109 G4double energy, A, Value;
110 G4int Z; 110 G4int Z;
111 111
112 std::size_t nEl = G4Element::GetNumberOfElem << 112 G4int nEl = G4Element::GetNumberOfElements();
113 const G4ElementTable* theElementTable = G4El 113 const G4ElementTable* theElementTable = G4Element::GetElementTable();
114 G4NistManager* nistManager = G4NistManager:: 114 G4NistManager* nistManager = G4NistManager::Instance();
115 115
116 for (std::size_t j = 0; j < nEl; ++j) { << 116 for (G4int j = 0; j < nEl; j++) {
117 Z = G4lrint((*theElementTable)[j]->GetZ()) 117 Z = G4lrint((*theElementTable)[j]->GetZ());
118 118
119 //AR-24Apr2018 Switch to treat transuranic 119 //AR-24Apr2018 Switch to treat transuranic elements as uranium
120 const G4bool isHeavyElementAllowed = true; 120 const G4bool isHeavyElementAllowed = true; if ( isHeavyElementAllowed && Z>92 ) Z=92;
121 121
122 A = nistManager->GetAtomicMassAmu(Z); 122 A = nistManager->GetAtomicMassAmu(Z);
123 if(Z < MAXZMUN && !theCrossSection[Z]) { 123 if(Z < MAXZMUN && !theCrossSection[Z]) {
124 theCrossSection[Z] = new G4PhysicsLogVec 124 theCrossSection[Z] = new G4PhysicsLogVector(LowestKineticEnergy,
125 HighestKineticEnergy, 125 HighestKineticEnergy,
126 TotBin); 126 TotBin);
127 for (G4int i = 0; i <= TotBin; ++i) { 127 for (G4int i = 0; i <= TotBin; ++i) {
128 energy = theCrossSection[Z]->Energy(i); 128 energy = theCrossSection[Z]->Energy(i);
129 Value = ComputeMicroscopicCrossSection(energ 129 Value = ComputeMicroscopicCrossSection(energy, A);
130 theCrossSection[Z]->PutValue(i,Value); 130 theCrossSection[Z]->PutValue(i,Value);
131 } 131 }
132 } 132 }
133 } 133 }
134 } 134 }
135 135
136 G4double G4KokoulinMuonNuclearXS:: 136 G4double G4KokoulinMuonNuclearXS::
137 ComputeMicroscopicCrossSection(G4double Kineti 137 ComputeMicroscopicCrossSection(G4double KineticEnergy, G4double A)
138 { 138 {
139 // Calculate cross section (differential in 139 // Calculate cross section (differential in muon incident kinetic energy) by
140 // integrating the double differential cross 140 // integrating the double differential cross section over the energy loss
141 141
142 static const G4double xgi[] = 142 static const G4double xgi[] =
143 {0.0199,0.1017,0.2372,0.4083,0.5917,0.7628 143 {0.0199,0.1017,0.2372,0.4083,0.5917,0.7628,0.8983,0.9801};
144 static const G4double wgi[] = 144 static const G4double wgi[] =
145 {0.0506,0.1112,0.1569,0.1813,0.1813,0.1569 145 {0.0506,0.1112,0.1569,0.1813,0.1813,0.1569,0.1112,0.0506};
146 static const G4double ak1 = 6.9; 146 static const G4double ak1 = 6.9;
147 static const G4double ak2 = 1.0; 147 static const G4double ak2 = 1.0;
148 148
149 G4double Mass = G4MuonMinus::MuonMinus()->Ge 149 G4double Mass = G4MuonMinus::MuonMinus()->GetPDGMass();
150 150
151 G4double CrossSection = 0.0; 151 G4double CrossSection = 0.0;
152 if (KineticEnergy <= CutFixed) return CrossS 152 if (KineticEnergy <= CutFixed) return CrossSection;
153 153
154 G4double epmin = CutFixed; 154 G4double epmin = CutFixed;
155 G4double epmax = KineticEnergy + Mass - 0.5* 155 G4double epmax = KineticEnergy + Mass - 0.5*proton_mass_c2;
156 if (epmax <= epmin) return CrossSection; // 156 if (epmax <= epmin) return CrossSection; // NaN bug correction
157 157
158 G4double aaa = G4Log(epmin); 158 G4double aaa = G4Log(epmin);
159 G4double bbb = G4Log(epmax); 159 G4double bbb = G4Log(epmax);
160 G4int kkk = std::max(1,G4int((bbb-aaa)/ak1 + 160 G4int kkk = std::max(1,G4int((bbb-aaa)/ak1 +ak2));
161 G4double hhh = (bbb-aaa)/kkk ; 161 G4double hhh = (bbb-aaa)/kkk ;
162 G4double epln; 162 G4double epln;
163 G4double ep; 163 G4double ep;
164 G4double x; 164 G4double x;
165 165
166 for (G4int l = 0; l < kkk; ++l) { 166 for (G4int l = 0; l < kkk; ++l) {
167 x = aaa + hhh*l; 167 x = aaa + hhh*l;
168 for (G4int ll = 0; ll < 8; ++ll) { 168 for (G4int ll = 0; ll < 8; ++ll) {
169 epln=x+xgi[ll]*hhh; 169 epln=x+xgi[ll]*hhh;
170 ep = G4Exp(epln); 170 ep = G4Exp(epln);
171 CrossSection += 171 CrossSection +=
172 ep*wgi[ll]*ComputeDDMicroscopicCrossSection( 172 ep*wgi[ll]*ComputeDDMicroscopicCrossSection(KineticEnergy, 0, A, ep);
173 } 173 }
174 } 174 }
175 175
176 CrossSection *= hhh ; 176 CrossSection *= hhh ;
177 if (CrossSection < 0.) { CrossSection = 0.; 177 if (CrossSection < 0.) { CrossSection = 0.; }
178 return CrossSection; 178 return CrossSection;
179 } 179 }
180 180
181 G4double G4KokoulinMuonNuclearXS:: 181 G4double G4KokoulinMuonNuclearXS::
182 ComputeDDMicroscopicCrossSection(G4double Kine 182 ComputeDDMicroscopicCrossSection(G4double KineticEnergy, G4double,
183 G4double A, G 183 G4double A, G4double epsilon)
184 { 184 {
185 // Calculate the double-differential microsc 185 // Calculate the double-differential microscopic cross section (in muon
186 // incident kinetic energy and energy loss) 186 // incident kinetic energy and energy loss) using the cross section formula
187 // of R.P. Kokoulin (18/01/98) 187 // of R.P. Kokoulin (18/01/98)
188 188
189 static const G4double alam2 = 0.400*GeV*GeV; 189 static const G4double alam2 = 0.400*GeV*GeV;
190 static const G4double alam = 0.632456*GeV; 190 static const G4double alam = 0.632456*GeV;
191 static const G4double coeffn = fine_structur 191 static const G4double coeffn = fine_structure_const/pi;
192 192
193 G4double ParticleMass = G4MuonMinus::MuonMin 193 G4double ParticleMass = G4MuonMinus::MuonMinus()->GetPDGMass();
194 G4double TotalEnergy = KineticEnergy + Parti 194 G4double TotalEnergy = KineticEnergy + ParticleMass;
195 195
196 G4double DCrossSection = 0.; 196 G4double DCrossSection = 0.;
197 197
198 if ((epsilon >= TotalEnergy - 0.5*proton_mas 198 if ((epsilon >= TotalEnergy - 0.5*proton_mass_c2) ||
199 (epsilon <= CutFixed) ) { return DCrossS 199 (epsilon <= CutFixed) ) { return DCrossSection; }
200 200
201 G4double ep = epsilon/GeV; 201 G4double ep = epsilon/GeV;
202 G4double aeff = 0.22*A+0.78*G4Exp(0.89*G4Log 202 G4double aeff = 0.22*A+0.78*G4Exp(0.89*G4Log(A)); //shadowing
203 G4double sigph = (49.2+11.1*G4Log(ep)+151.8/ 203 G4double sigph = (49.2+11.1*G4Log(ep)+151.8/std::sqrt(ep))*microbarn;
204 204
205 G4double v = epsilon/TotalEnergy; 205 G4double v = epsilon/TotalEnergy;
206 G4double v1 = 1.-v; 206 G4double v1 = 1.-v;
207 G4double v2 = v*v; 207 G4double v2 = v*v;
208 G4double mass2 = ParticleMass*ParticleMass; 208 G4double mass2 = ParticleMass*ParticleMass;
209 209
210 G4double up = TotalEnergy*TotalEnergy*v1/mas 210 G4double up = TotalEnergy*TotalEnergy*v1/mass2*(1.+mass2*v2/(alam2*v1));
211 G4double down = 1.+epsilon/alam*(1.+alam/(2. 211 G4double down = 1.+epsilon/alam*(1.+alam/(2.*proton_mass_c2)+epsilon/alam);
212 212
213 DCrossSection = coeffn*aeff*sigph/epsilon* 213 DCrossSection = coeffn*aeff*sigph/epsilon*
214 (-v1+(v1+0.5*v2*(1.+2.*mass2 214 (-v1+(v1+0.5*v2*(1.+2.*mass2/alam2))*G4Log(up/down));
215 215
216 if (DCrossSection < 0.) { DCrossSection = 0. 216 if (DCrossSection < 0.) { DCrossSection = 0.; }
217 return DCrossSection; 217 return DCrossSection;
218 } 218 }
219 219
220 G4double G4KokoulinMuonNuclearXS:: 220 G4double G4KokoulinMuonNuclearXS::
221 GetElementCrossSection(const G4DynamicParticle 221 GetElementCrossSection(const G4DynamicParticle* aPart,
222 G4int ZZ, const G4Material*) << 222 G4int Z, const G4Material*)
223 { 223 {
224 //AR-24Apr2018 Switch to treat transuranic e 224 //AR-24Apr2018 Switch to treat transuranic elements as uranium
225 G4int Z = std::min(ZZ, 92); << 225 const G4bool isHeavyElementAllowed = true; if ( isHeavyElementAllowed && Z>92 ) Z=92;
226 return theCrossSection[Z]->LogVectorValue(aP << 226
227 aPart->GetLogKineticEnergy()); << 227 return theCrossSection[Z]->Value(aPart->GetKineticEnergy());
228 } 228 }
229 229
230 230