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25 //
26 // Calculation of the total, elastic and inelastic cross-sections
27 // of anti-nucleon and anti-nucleus interactions with nuclei
28 // based on Glauber approach and V. Grishine formulaes for
29 // interpolations (ref. V.M.Grichine, Eur.Phys.J., C62(2009) 399;
30 // NIM, B267 (2009) 2460) and our parametrization of hadron-nucleon
31 // cross-sections
32 //
33 //
34 // Created by A.Galoyan and V. Uzhinsky, 18.11.2010
35
36
37 #include "G4ComponentAntiNuclNuclearXS.hh"
38
39 #include "G4PhysicalConstants.hh"
40 #include "G4SystemOfUnits.hh"
41 #include "G4ParticleTable.hh"
42 #include "G4IonTable.hh"
43 #include "G4ParticleDefinition.hh"
44 #include "G4HadronicException.hh"
45
46
47 /////////////////////////////////////////////////////////////////////////////
48
49 G4ComponentAntiNuclNuclearXS::G4ComponentAntiNuclNuclearXS()
50 : G4VComponentCrossSection("AntiAGlauber"),
51 fRadiusEff(0.0),
52 fTotalXsc(0.0), fElasticXsc(0.0), fInelasticXsc(0.0),
53 fAntiHadronNucleonTotXsc(0.0), fAntiHadronNucleonElXsc(0.0),
54 Elab(0.0), S(0.0), SqrtS(0)
55 {
56 theAProton = G4AntiProton::AntiProton();
57 theANeutron = G4AntiNeutron::AntiNeutron();
58 theADeuteron = G4AntiDeuteron::AntiDeuteron();
59 theATriton = G4AntiTriton::AntiTriton();
60 theAAlpha = G4AntiAlpha::AntiAlpha();
61 theAHe3 = G4AntiHe3::AntiHe3();
62 Mn = 0.93827231; // GeV
63 b0 = 11.92; // GeV^(-2)
64 b2 = 0.3036; // GeV^(-2)
65 SqrtS0 = 20.74; // GeV
66 S0 = 33.0625; // GeV^2
67 R0 = 1.0; // default value (V.Ivanchenko)
68 }
69
70
71 /////////////////////////////////////////////////////////////////////////////
72
73 G4ComponentAntiNuclNuclearXS::~G4ComponentAntiNuclNuclearXS()
74 {
75 }
76
77
78 /////////////////////////////////////////////////////////////////////////////
79 //
80 // Calculation of total CrossSection of Anti-Nucleus - Nucleus
81
82 G4double G4ComponentAntiNuclNuclearXS::GetTotalElementCrossSection
83 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
84 {
85 if ( aParticle == nullptr ) {
86 G4ExceptionDescription ed;
87 ed << "anti-nucleus with nullptr particle definition: " << aParticle << G4endl;
88 G4Exception( "G4ComponentAntiNuclNuclearXS::GetTotalElementCrossSection",
89 "antiNuclNuclearXS001", JustWarning, ed );
90 return 0.0;
91 }
92
93 const G4ParticleDefinition* theParticle = aParticle;
94 G4double sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
95
96 // calculation of squared radius of NN-collision
97 G4int i(-1), j(-1);
98 if ( theParticle == theAProton ||
99 theParticle == theANeutron ) { i=0; }
100 else if ( theParticle == theADeuteron ) { i=1; }
101 else if ( theParticle == theATriton ) { i=2; }
102 else if ( theParticle == theAHe3 ) { i=3; }
103 else if ( theParticle == theAAlpha ) { i=4; }
104 else {};
105
106 if ( i < 0 && ( ! theParticle->IsAntiHypernucleus() ) ) {
107 G4ExceptionDescription ed;
108 ed << "Unknown anti-nucleus : " << theParticle->GetParticleName() << G4endl
109 << "Target (Z, A)=(" << Z << "," << A << ")" << G4endl;
110 G4Exception( "G4ComponentAntiNuclNuclearXS::GetTotalElementCrossSection",
111 "antiNuclNuclearXS002", JustWarning, ed );
112 }
113
114 G4int intA = static_cast<G4int>( A );
115
116 if ( Z == 1 && intA == 1 ) { j=0; }
117 else if ( Z == 1 && intA == 2 ) { j=1; }
118 else if ( Z == 1 && intA == 3 ) { j=2; }
119 else if ( Z == 2 && intA == 3 ) { j=3; }
120 else if ( Z == 2 && intA == 4 ) { j=4; }
121 else {}
122
123 if ( i < 0 && j >= 0 ) { fRadiusEff = ReffTot[4][j]; } // Treat all anti-hypernuclei as anti-alpha
124 if ( i == 0 && j == 0 ) return sigmaTotal * millibarn; // Pbar/Nbar + P
125 if ( i >= 0 && j >= 0 ) { fRadiusEff = ReffTot[i][j]; } // Light anti-nuclei + Light nuclei
126
127 if ( j < 0 ) {
128 if ( i == 0 ) { fRadiusEff = 1.34 * theG4Pow->powZ(intA, 0.23) // Anti-proton/Anti-neutron + Nucleus
129 + 1.35 / theG4Pow->Z13(intA); }
130 else if ( i == 1 ) { fRadiusEff = 1.46 * theG4Pow->powZ(intA, 0.21) // Anti-deuteron + Nucleus
131 + 1.45 / theG4Pow->Z13(intA); }
132 else if ( i == 2 ) { fRadiusEff = 1.40 * theG4Pow->powZ(intA, 0.21) // Anti-tritium + Nucleus
133 + 1.63 / theG4Pow->Z13(intA); }
134 else if ( i == 3 ) { fRadiusEff = 1.40 * theG4Pow->powZ(intA, 0.21) // Anti-He3 + Nucleus
135 + 1.63 / theG4Pow->Z13(intA); }
136 else if ( i == 4 ) { fRadiusEff = 1.35 * theG4Pow->powZ(intA, 0.21) // Anti-alpha + Nucleus
137 + 1.10 / theG4Pow->Z13(intA); }
138 else if ( i < 0 ) { fRadiusEff = 1.35 * theG4Pow->powZ(intA, 0.21) // Anti-hypernucleus + Nucleus
139 + 1.10 / theG4Pow->Z13(intA); } // is treated as Anti-alpha + Nucleus
140 else {}
141 }
142
143 G4double R2 = fRadiusEff*fRadiusEff;
144 G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A;
145
146 G4double xsection = millibarn*2.*pi*R2*10.*G4Log(1.+(ApAt*sigmaTotal/(2.*pi*R2*10.))); //mb
147 fTotalXsc = xsection;
148
149 return fTotalXsc;
150 }
151
152
153 /////////////////////////////////////////////////////////////////////////////
154 //
155 // Calculation of total CrossSection of Anti-Nucleus - Nucleus
156
157 G4double G4ComponentAntiNuclNuclearXS::GetTotalIsotopeCrossSection
158 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A )
159 {
160 return GetTotalElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
161 }
162
163
164 /////////////////////////////////////////////////////////////////////////////
165 // Calculation of inelastic CrossSection of Anti-Nucleus - Nucleus
166
167 G4double G4ComponentAntiNuclNuclearXS::GetInelasticElementCrossSection
168 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
169 {
170 if ( aParticle == nullptr ) {
171 G4ExceptionDescription ed;
172 ed << "anti-nucleus with nullptr particle definition: " << aParticle << G4endl;
173 G4Exception( "G4ComponentAntiNuclNuclearXS::GetInelasticElementCrossSection",
174 "antiNuclNuclearXS003", JustWarning, ed );
175 return 0.0;
176 }
177
178 const G4ParticleDefinition* theParticle = aParticle;
179 G4double sigmaTotal = GetAntiHadronNucleonTotCrSc(theParticle,kinEnergy);
180 G4double sigmaElastic = GetAntiHadronNucleonElCrSc(theParticle,kinEnergy);
181
182 // calculation of sqr of radius NN-collision
183 G4int i(-1), j(-1);
184 if ( theParticle == theAProton ||
185 theParticle == theANeutron ) { i=0; }
186 else if ( theParticle == theADeuteron ) { i=1; }
187 else if ( theParticle == theATriton ) { i=2; }
188 else if ( theParticle == theAHe3 ) { i=3; }
189 else if ( theParticle == theAAlpha ) { i=4; }
190 else {};
191
192 if ( i < 0 && ( ! theParticle->IsAntiHypernucleus() ) ) {
193 G4ExceptionDescription ed;
194 ed << "Unknown anti-nucleus : " << theParticle->GetParticleName() << G4endl
195 << "Target (Z, A)=(" << Z << "," << A << ")" << G4endl;
196 G4Exception( "G4ComponentAntiNuclNuclearXS::GetInelasticElementCrossSection",
197 "antiNuclNuclearXS004", JustWarning, ed );
198 }
199
200 G4int intA = static_cast<G4int>( A );
201
202 if ( Z == 1 && intA == 1 ) { j=0; }
203 else if ( Z == 1 && intA == 2 ) { j=1; }
204 else if ( Z == 1 && intA == 3 ) { j=2; }
205 else if ( Z == 2 && intA == 3 ) { j=3; }
206 else if ( Z == 2 && intA == 4 ) { j=4; }
207 else {}
208
209 if ( i < 0 && j >= 0 ) { fRadiusEff = ReffInel[4][j]; } // Treat all anti-hypernuclei as anti-alpha
210 if ( i == 0 && j == 0 ) return (sigmaTotal - sigmaElastic) * millibarn; // Pbar/Nbar + P
211 if ( i >= 0 && j >= 0 ) { fRadiusEff = ReffInel[i][j]; } // Light anti-nuclei + Light nuclei
212
213 if ( j < 0) {
214 if ( i == 0 ) { fRadiusEff = 1.31*theG4Pow->powZ(intA, 0.22) // Anti-proton/Anti-neutron + Nucleus
215 + 0.90/theG4Pow->Z13(intA); }
216 else if ( i == 1 ) { fRadiusEff = 1.38*theG4Pow->powZ(intA, 0.21) // Anti-deuteron + Nucleus
217 + 1.55/theG4Pow->Z13(intA); }
218 else if ( i == 2 ) { fRadiusEff = 1.34*theG4Pow->powZ(intA, 0.21) // Anti-tritium + Nucleus
219 + 1.51/theG4Pow->Z13(intA); }
220 else if ( i == 3 ) { fRadiusEff = 1.34*theG4Pow->powZ(intA, 0.21) // Anti-He3 + Nucleus
221 + 1.51/theG4Pow->Z13(intA); }
222 else if ( i == 4 ) { fRadiusEff = 1.30*theG4Pow->powZ(intA, 0.21) // Anti-alpha + Nucleus
223 + 1.05/theG4Pow->Z13(intA); }
224 else if ( i < 0 ) { fRadiusEff = 1.30*theG4Pow->powZ(intA,0.21) // Anti-hypernucleus + Nucleus
225 + 1.05/theG4Pow->Z13(intA); } // is treated as Anti-alpha + Nucleus
226 else {}
227 }
228
229 G4double R2 = fRadiusEff*fRadiusEff;
230 G4double ApAt = std::abs(theParticle->GetBaryonNumber()) * A;
231
232 G4double inelxsection = millibarn*pi*R2*10.*G4Log(1.+(ApAt*sigmaTotal/(pi*R2*10.))); //mb
233 fInelasticXsc = inelxsection;
234
235 return fInelasticXsc;
236 }
237
238
239 /////////////////////////////////////////////////////////////////////////////
240 //
241 // Calculates Inelastic Anti-nucleus-Nucleus cross-section
242
243 G4double G4ComponentAntiNuclNuclearXS::GetInelasticIsotopeCrossSection
244 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
245 {
246 return GetInelasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
247 }
248
249
250 /////////////////////////////////////////////////////////////////////////////
251 //
252 // Calculates elastic Anti-nucleus-Nucleus cross-section as Total - Inelastic
253
254 G4double G4ComponentAntiNuclNuclearXS::GetElasticElementCrossSection
255 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4double A)
256 {
257 fElasticXsc = GetTotalElementCrossSection(aParticle, kinEnergy, Z, A)-
258 GetInelasticElementCrossSection(aParticle, kinEnergy, Z, A);
259 if (fElasticXsc < 0.) fElasticXsc = 0.;
260 return fElasticXsc;
261 }
262
263
264 /////////////////////////////////////////////////////////////////////////////
265 //
266 // Calculates elastic Anti-nucleus-Nucleus cross-section
267
268 G4double G4ComponentAntiNuclNuclearXS::GetElasticIsotopeCrossSection
269 (const G4ParticleDefinition* aParticle, G4double kinEnergy, G4int Z, G4int A)
270 {
271 return GetElasticElementCrossSection(aParticle, kinEnergy, Z, (G4double) A);
272 }
273
274
275 /////////////////////////////////////////////////////////////////////////////
276 // Calculation of Antihadron - hadron Total Cross-section
277
278 G4double G4ComponentAntiNuclNuclearXS::GetAntiHadronNucleonTotCrSc
279 (const G4ParticleDefinition* aParticle, G4double kinEnergy)
280 {
281 G4double xsection, Pmass, Energy, momentum;
282 const G4ParticleDefinition* theParticle = aParticle;
283 Pmass=theParticle->GetPDGMass();
284 Energy=Pmass+kinEnergy;
285 momentum=std::sqrt(Energy*Energy-Pmass*Pmass)/std::abs(theParticle->GetBaryonNumber());
286 G4double Plab = momentum / GeV;
287
288 G4double B, SigAss;
289 G4double C, d1, d2, d3;
290 Elab = std::sqrt(Mn*Mn + Plab*Plab); // GeV
291 S = 2.*Mn*Mn + 2. *Mn*Elab; // GeV^2
292 SqrtS = std::sqrt(S); // GeV
293 B = b0+b2*G4Log(SqrtS/SqrtS0)*G4Log(SqrtS/SqrtS0); //GeV^(-2)
294 SigAss = 36.04 +0.304*G4Log(S/S0)*G4Log(S/S0); //mb
295 R0 = std::sqrt(0.40874044*SigAss - B); //GeV^(-2)
296 C = 13.55;
297 d1 = -4.47;
298 d2 = 12.38;
299 d3 = -12.43;
300
301 xsection = SigAss * ( 1 + 1./(std::sqrt(S-4.*Mn*Mn)) / (theG4Pow->powN(R0, 3))
302 * C * ( 1 + d1/SqrtS + d2/(theG4Pow->powN(SqrtS, 2))
303 + d3/(theG4Pow->powN(SqrtS, 3)) ) );
304
305 //xsection *= millibarn;
306 fAntiHadronNucleonTotXsc = xsection;
307
308 return fAntiHadronNucleonTotXsc;
309 }
310
311
312 // //////////////////////////////////////////////////////////////////////////
313 // Calculation of Antihadron - hadron Elastic Cross-section
314
315 G4double G4ComponentAntiNuclNuclearXS ::
316 GetAntiHadronNucleonElCrSc(const G4ParticleDefinition* aParticle, G4double kinEnergy)
317 {
318 G4double xsection;
319 G4double SigAss;
320 G4double C, d1, d2, d3;
321 GetAntiHadronNucleonTotCrSc(aParticle,kinEnergy);
322 SigAss = 4.5 + 0.101*G4Log(S/S0)*G4Log(S/S0); //mb
323 C = 59.27;
324 d1 = -6.95;
325 d2 = 23.54;
326 d3 = -25.34;
327
328 xsection = SigAss * ( 1 + 1. / (std::sqrt(S-4.*Mn*Mn)) / (theG4Pow->powN(R0, 3))
329 * C * ( 1 + d1/SqrtS + d2/(theG4Pow->powN(SqrtS, 2))
330 + d3/(theG4Pow->powN(SqrtS, 3)) ) );
331
332 //xsection *= millibarn;
333 fAntiHadronNucleonElXsc = xsection;
334
335 return fAntiHadronNucleonElXsc;
336 }
337
338
339 /////////////////////////////////////////////////////////////////////////////
340
341 void G4ComponentAntiNuclNuclearXS::CrossSectionDescription(std::ostream& outFile) const
342 {
343 outFile << "The G4ComponentAntiNuclNuclearXS calculates total,\n"
344 << "inelastic, elastic cross sections of anti-nucleons and light \n"
345 << "anti-nucleus interactions with nuclei using Glauber's approach.\n"
346 << "It uses parametrizations of antiproton-proton total and elastic \n"
347 << "cross sections and Wood-Saxon distribution of nuclear density.\n"
348 << "See details in Phys.Lett. B705 (2011) 235. \n";
349 }
350
351