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>> 26 // $Id: G4MuonMinusBoundDecay.cc 80902 2014-05-15 09:33:52Z gcosmo $
26 // 27 //
27 //-------------------------------------------- 28 //-----------------------------------------------------------------------------
28 // 29 //
29 // GEANT4 Class header file 30 // GEANT4 Class header file
30 // 31 //
31 // File name: G4MuonMinusBoundDecay 32 // File name: G4MuonMinusBoundDecay
32 // 33 //
33 // Author: V.Ivanchenko (Vladimir.Ivant 34 // Author: V.Ivanchenko (Vladimir.Ivantchenko@cern.ch)
34 // 35 //
35 // Creation date: 24 April 2012 on base of G4M 36 // Creation date: 24 April 2012 on base of G4MuMinusCaptureAtRest
36 // 37 //
37 // Modified: 38 // Modified:
38 // 04/23/2013 K.Genser Fixed a constant i 39 // 04/23/2013 K.Genser Fixed a constant in computation of lambda
39 // as suggested by J 40 // as suggested by J P Miller/Y Oksuzian;
40 // Optimized and corr 41 // Optimized and corrected lambda calculation/lookup
41 // 04/30/2013 K.Genser Improved GetMuonCa 42 // 04/30/2013 K.Genser Improved GetMuonCaptureRate extended data and lookup
42 // to take both Z & A 43 // to take both Z & A into account
43 // Improved GetMuonDe 44 // Improved GetMuonDecayRate by using Zeff instead of Z
44 // Extracted Zeff int 45 // Extracted Zeff into GetMuonZeff
45 // 10/08/2018 K.Genser Improved accuracy << 46 //
46 // <<
47 //-------------------------------------------- 47 //----------------------------------------------------------------------
48 48
49 #include "G4MuonMinusBoundDecay.hh" 49 #include "G4MuonMinusBoundDecay.hh"
50 #include "Randomize.hh" 50 #include "Randomize.hh"
51 #include "G4RandomDirection.hh" 51 #include "G4RandomDirection.hh"
52 #include "G4PhysicalConstants.hh" 52 #include "G4PhysicalConstants.hh"
53 #include "G4SystemOfUnits.hh" 53 #include "G4SystemOfUnits.hh"
54 #include "G4ThreeVector.hh" 54 #include "G4ThreeVector.hh"
55 #include "G4NistManager.hh" <<
56 #include "G4NucleiProperties.hh" <<
57 #include "G4IonTable.hh" <<
58 #include "G4MuonMinus.hh" 55 #include "G4MuonMinus.hh"
59 #include "G4Electron.hh" 56 #include "G4Electron.hh"
60 #include "G4NeutrinoMu.hh" 57 #include "G4NeutrinoMu.hh"
61 #include "G4AntiNeutrinoE.hh" 58 #include "G4AntiNeutrinoE.hh"
62 #include "G4Log.hh" <<
63 59
64 //....oooOO0OOooo........oooOO0OOooo........oo 60 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
65 61
66 G4MuonMinusBoundDecay::G4MuonMinusBoundDecay() 62 G4MuonMinusBoundDecay::G4MuonMinusBoundDecay()
67 : G4HadronicInteraction("muMinusBoundDeacy") 63 : G4HadronicInteraction("muMinusBoundDeacy")
68 { 64 {
69 fMuMass = G4MuonMinus::MuonMinus()->GetPDGMa 65 fMuMass = G4MuonMinus::MuonMinus()->GetPDGMass();
70 } 66 }
71 67
72 //....oooOO0OOooo........oooOO0OOooo........oo 68 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
73 69
74 G4MuonMinusBoundDecay::~G4MuonMinusBoundDecay( 70 G4MuonMinusBoundDecay::~G4MuonMinusBoundDecay()
75 {} 71 {}
76 72
77 //....oooOO0OOooo........oooOO0OOooo........oo 73 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
78 74
79 G4HadFinalState* 75 G4HadFinalState*
80 G4MuonMinusBoundDecay::ApplyYourself(const G4H 76 G4MuonMinusBoundDecay::ApplyYourself(const G4HadProjectile& projectile,
81 G4Nucleus 77 G4Nucleus& targetNucleus)
82 { 78 {
83 result.Clear(); 79 result.Clear();
84 G4int Z = targetNucleus.GetZ_asInt(); 80 G4int Z = targetNucleus.GetZ_asInt();
85 G4int A = targetNucleus.GetA_asInt(); 81 G4int A = targetNucleus.GetA_asInt();
86 82
87 // Decide on Decay or Capture, and doit. 83 // Decide on Decay or Capture, and doit.
88 G4double lambdac = GetMuonCaptureRate(Z, A) 84 G4double lambdac = GetMuonCaptureRate(Z, A);
89 G4double lambdad = GetMuonDecayRate(Z, A, f << 85 G4double lambdad = GetMuonDecayRate(Z);
90 targetN <<
91 G4double lambda = lambdac + lambdad; 86 G4double lambda = lambdac + lambdad;
92 87
93 // === sample capture time and change time 88 // === sample capture time and change time of projectile
94 // === this is needed for the case when bou 89 // === this is needed for the case when bound decay is not happen
95 // === but muon is capruted by the nucleus 90 // === but muon is capruted by the nucleus with some delay
96 91
>> 92 G4double time = -std::log(G4UniformRand()) / lambda;
97 G4HadProjectile* p = const_cast<G4HadProject 93 G4HadProjectile* p = const_cast<G4HadProjectile*>(&projectile);
98 G4double time = p->GetGlobalTime() - G4Log(G <<
99 p->SetGlobalTime(time); 94 p->SetGlobalTime(time);
100 95
101 //G4cout << "lambda= " << lambda << " lambda 96 //G4cout << "lambda= " << lambda << " lambdac= " << lambdac
102 //<< " t= " << time << G4endl; 97 //<< " t= " << time << G4endl;
103 98
104 // cascade 99 // cascade
105 if( G4UniformRand()*lambda < lambdac) { 100 if( G4UniformRand()*lambda < lambdac) {
106 result.SetStatusChange(isAlive); 101 result.SetStatusChange(isAlive);
107 102
108 } else { 103 } else {
109 104
110 // Simulation on Decay of mu- on a K-shell 105 // Simulation on Decay of mu- on a K-shell of the muonic atom
111 result.SetStatusChange(stopAndKill); 106 result.SetStatusChange(stopAndKill);
112 G4double xmax = 1 + electron_mass_c2*elect 107 G4double xmax = 1 + electron_mass_c2*electron_mass_c2/(fMuMass*fMuMass);
113 G4double xmin = 2.0*electron_mass_c2/fMuMa 108 G4double xmin = 2.0*electron_mass_c2/fMuMass;
114 G4double KEnergy = projectile.GetBoundEner 109 G4double KEnergy = projectile.GetBoundEnergy();
115 110
116 /* 111 /*
117 G4cout << "G4MuonMinusBoundDecay::ApplyY 112 G4cout << "G4MuonMinusBoundDecay::ApplyYourself"
118 << " XMAX= " << xmax << " Ebound= " << K 113 << " XMAX= " << xmax << " Ebound= " << KEnergy<< G4endl;
119 */ 114 */
120 G4double pmu = std::sqrt(KEnergy*(KEnergy 115 G4double pmu = std::sqrt(KEnergy*(KEnergy + 2.0*fMuMass));
121 G4double emu = KEnergy + fMuMass; 116 G4double emu = KEnergy + fMuMass;
122 G4ThreeVector dir = G4RandomDirection(); 117 G4ThreeVector dir = G4RandomDirection();
123 G4LorentzVector MU(pmu*dir, emu); 118 G4LorentzVector MU(pmu*dir, emu);
124 G4ThreeVector bst = MU.boostVector(); 119 G4ThreeVector bst = MU.boostVector();
125 120
126 G4double Eelect, Pelect, x, ecm; 121 G4double Eelect, Pelect, x, ecm;
127 G4LorentzVector EL, NN; 122 G4LorentzVector EL, NN;
128 // Calculate electron energy 123 // Calculate electron energy
129 // these do/while loops are safe <<
130 do { 124 do {
131 do { 125 do {
132 x = xmin + (xmax-xmin)*G4UniformRand() 126 x = xmin + (xmax-xmin)*G4UniformRand();
133 } while (G4UniformRand() > (3.0 - 2.0*x) 127 } while (G4UniformRand() > (3.0 - 2.0*x)*x*x );
134 Eelect = x*fMuMass*0.5; 128 Eelect = x*fMuMass*0.5;
135 Pelect = 0.0; 129 Pelect = 0.0;
136 if(Eelect > electron_mass_c2) { 130 if(Eelect > electron_mass_c2) {
137 Pelect = std::sqrt(Eelect*Eelect - ele 131 Pelect = std::sqrt(Eelect*Eelect - electron_mass_c2*electron_mass_c2);
138 } else { 132 } else {
139 Pelect = 0.0; 133 Pelect = 0.0;
140 Eelect = electron_mass_c2; 134 Eelect = electron_mass_c2;
141 } 135 }
142 dir = G4RandomDirection(); 136 dir = G4RandomDirection();
143 EL = G4LorentzVector(Pelect*dir,Eelect); 137 EL = G4LorentzVector(Pelect*dir,Eelect);
144 EL.boost(bst); 138 EL.boost(bst);
145 Eelect = EL.e() - electron_mass_c2 - 2.0 139 Eelect = EL.e() - electron_mass_c2 - 2.0*KEnergy;
146 // 140 //
147 // Calculate rest frame parameters of 2 141 // Calculate rest frame parameters of 2 neutrinos
148 // 142 //
149 NN = MU - EL; 143 NN = MU - EL;
150 ecm = NN.mag2(); 144 ecm = NN.mag2();
151 // Loop checking, 06-Aug-2015, Vladimir <<
152 } while (Eelect < 0.0 || ecm < 0.0); 145 } while (Eelect < 0.0 || ecm < 0.0);
153 146
154 // 147 //
155 // Create electron 148 // Create electron
156 // 149 //
157 G4DynamicParticle* dp = new G4DynamicParti 150 G4DynamicParticle* dp = new G4DynamicParticle(G4Electron::Electron(),
158 151 EL.vect().unit(),
159 152 Eelect);
160 153
161 AddNewParticle(dp, time); 154 AddNewParticle(dp, time);
162 // 155 //
163 // Create Neutrinos 156 // Create Neutrinos
164 // 157 //
165 ecm = 0.5*std::sqrt(ecm); 158 ecm = 0.5*std::sqrt(ecm);
166 bst = NN.boostVector(); 159 bst = NN.boostVector();
167 G4ThreeVector p1 = ecm * G4RandomDirection 160 G4ThreeVector p1 = ecm * G4RandomDirection();
168 G4LorentzVector N1 = G4LorentzVector(p1,ec 161 G4LorentzVector N1 = G4LorentzVector(p1,ecm);
169 N1.boost(bst); 162 N1.boost(bst);
170 dp = new G4DynamicParticle(G4AntiNeutrinoE 163 dp = new G4DynamicParticle(G4AntiNeutrinoE::AntiNeutrinoE(), N1);
171 AddNewParticle(dp, time); 164 AddNewParticle(dp, time);
172 NN -= N1; 165 NN -= N1;
173 dp = new G4DynamicParticle(G4NeutrinoMu::N 166 dp = new G4DynamicParticle(G4NeutrinoMu::NeutrinoMu(), NN);
174 AddNewParticle(dp, time); 167 AddNewParticle(dp, time);
175 } 168 }
176 return &result; 169 return &result;
177 } 170 }
178 171
179 //....oooOO0OOooo........oooOO0OOooo........oo 172 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
180 173
181 G4double G4MuonMinusBoundDecay::GetMuonCapture 174 G4double G4MuonMinusBoundDecay::GetMuonCaptureRate(G4int Z, G4int A)
182 { 175 {
183 176
184 // Initialize data 177 // Initialize data
185 178
186 // Mu- capture data from 179 // Mu- capture data from
187 // T. Suzuki, D. F. Measday, J.P. Roalsvig P 180 // T. Suzuki, D. F. Measday, J.P. Roalsvig Phys.Rev. C35 (1987) 2212
188 // weighted average of the two most precise 181 // weighted average of the two most precise measurements
189 182
190 // Data for Hydrogen from Phys. Rev. Lett. 9 183 // Data for Hydrogen from Phys. Rev. Lett. 99(2007)032002
191 // Data for Helium from D.F. Measday Phys. R 184 // Data for Helium from D.F. Measday Phys. Rep. 354(2001)243
192 185
193 struct capRate { 186 struct capRate {
194 G4int Z; 187 G4int Z;
195 G4int A; 188 G4int A;
196 G4double cRate; 189 G4double cRate;
197 G4double cRErr; 190 G4double cRErr;
198 }; 191 };
199 192
200 // this struct has to be sorted by Z when in 193 // this struct has to be sorted by Z when initialized as we exit the
201 // loop once Z is above the stored value; cR 194 // loop once Z is above the stored value; cRErr are not used now but
202 // are included for completeness and future 195 // are included for completeness and future use
203 196
204 static const capRate capRates [] = { << 197 const capRate capRates [] = {
205 { 1, 1, 0.000725, 0.000017 }, 198 { 1, 1, 0.000725, 0.000017 },
206 { 2, 3, 0.002149, 0.00017 }, 199 { 2, 3, 0.002149, 0.00017 },
207 { 2, 4, 0.000356, 0.000026 }, 200 { 2, 4, 0.000356, 0.000026 },
208 { 3, 6, 0.004647, 0.00012 }, 201 { 3, 6, 0.004647, 0.00012 },
209 { 3, 7, 0.002229, 0.00012 }, 202 { 3, 7, 0.002229, 0.00012 },
210 { 4, 9, 0.006107, 0.00019 }, 203 { 4, 9, 0.006107, 0.00019 },
211 { 5, 10, 0.02757 , 0.00063 }, 204 { 5, 10, 0.02757 , 0.00063 },
212 { 5, 11, 0.02188 , 0.00064 }, 205 { 5, 11, 0.02188 , 0.00064 },
213 { 6, 12, 0.03807 , 0.00031 }, 206 { 6, 12, 0.03807 , 0.00031 },
214 { 6, 13, 0.03474 , 0.00034 }, 207 { 6, 13, 0.03474 , 0.00034 },
215 { 7, 14, 0.06885 , 0.00057 }, 208 { 7, 14, 0.06885 , 0.00057 },
216 { 8, 16, 0.10242 , 0.00059 }, 209 { 8, 16, 0.10242 , 0.00059 },
217 { 8, 18, 0.0880 , 0.0015 }, 210 { 8, 18, 0.0880 , 0.0015 },
218 { 9, 19, 0.22905 , 0.00099 }, 211 { 9, 19, 0.22905 , 0.00099 },
219 { 10, 20, 0.2288 , 0.0045 }, 212 { 10, 20, 0.2288 , 0.0045 },
220 { 11, 23, 0.3773 , 0.0014 }, 213 { 11, 23, 0.3773 , 0.0014 },
221 { 12, 24, 0.4823 , 0.0013 }, 214 { 12, 24, 0.4823 , 0.0013 },
222 { 13, 27, 0.6985 , 0.0012 }, 215 { 13, 27, 0.6985 , 0.0012 },
223 { 14, 28, 0.8656 , 0.0015 }, 216 { 14, 28, 0.8656 , 0.0015 },
224 { 15, 31, 1.1681 , 0.0026 }, 217 { 15, 31, 1.1681 , 0.0026 },
225 { 16, 32, 1.3510 , 0.0029 }, 218 { 16, 32, 1.3510 , 0.0029 },
226 { 17, 35, 1.800 , 0.050 }, 219 { 17, 35, 1.800 , 0.050 },
227 { 17, 37, 1.250 , 0.050 }, 220 { 17, 37, 1.250 , 0.050 },
228 { 18, 40, 1.2727 , 0.0650 }, 221 { 18, 40, 1.2727 , 0.0650 },
229 { 19, 39, 1.8492 , 0.0050 }, 222 { 19, 39, 1.8492 , 0.0050 },
230 { 20, 40, 2.5359 , 0.0070 }, 223 { 20, 40, 2.5359 , 0.0070 },
231 { 21, 45, 2.711 , 0.025 }, 224 { 21, 45, 2.711 , 0.025 },
232 { 22, 48, 2.5908 , 0.0115 }, 225 { 22, 48, 2.5908 , 0.0115 },
233 { 23, 51, 3.073 , 0.022 }, 226 { 23, 51, 3.073 , 0.022 },
234 { 24, 50, 3.825 , 0.050 }, 227 { 24, 50, 3.825 , 0.050 },
235 { 24, 52, 3.465 , 0.026 }, 228 { 24, 52, 3.465 , 0.026 },
236 { 24, 53, 3.297 , 0.045 }, 229 { 24, 53, 3.297 , 0.045 },
237 { 24, 54, 3.057 , 0.042 }, 230 { 24, 54, 3.057 , 0.042 },
238 { 25, 55, 3.900 , 0.030 }, 231 { 25, 55, 3.900 , 0.030 },
239 { 26, 56, 4.408 , 0.022 }, 232 { 26, 56, 4.408 , 0.022 },
240 { 27, 59, 4.945 , 0.025 }, 233 { 27, 59, 4.945 , 0.025 },
241 { 28, 58, 6.11 , 0.10 }, 234 { 28, 58, 6.11 , 0.10 },
242 { 28, 60, 5.56 , 0.10 }, 235 { 28, 60, 5.56 , 0.10 },
243 { 28, 62, 4.72 , 0.10 }, 236 { 28, 62, 4.72 , 0.10 },
244 { 29, 63, 5.691 , 0.030 }, 237 { 29, 63, 5.691 , 0.030 },
245 { 30, 66, 5.806 , 0.031 }, 238 { 30, 66, 5.806 , 0.031 },
246 { 31, 69, 5.700 , 0.060 }, 239 { 31, 69, 5.700 , 0.060 },
247 { 32, 72, 5.561 , 0.031 }, 240 { 32, 72, 5.561 , 0.031 },
248 { 33, 75, 6.094 , 0.037 }, 241 { 33, 75, 6.094 , 0.037 },
249 { 34, 80, 5.687 , 0.030 }, 242 { 34, 80, 5.687 , 0.030 },
250 { 35, 79, 7.223 , 0.28 }, 243 { 35, 79, 7.223 , 0.28 },
251 { 35, 81, 7.547 , 0.48 }, 244 { 35, 81, 7.547 , 0.48 },
252 { 37, 85, 6.89 , 0.14 }, 245 { 37, 85, 6.89 , 0.14 },
253 { 38, 88, 6.93 , 0.12 }, 246 { 38, 88, 6.93 , 0.12 },
254 { 39, 89, 7.89 , 0.11 }, 247 { 39, 89, 7.89 , 0.11 },
255 { 40, 91, 8.620 , 0.053 }, 248 { 40, 91, 8.620 , 0.053 },
256 { 41, 93, 10.38 , 0.11 }, 249 { 41, 93, 10.38 , 0.11 },
257 { 42, 96, 9.298 , 0.063 }, 250 { 42, 96, 9.298 , 0.063 },
258 { 45, 103, 10.010 , 0.045 }, 251 { 45, 103, 10.010 , 0.045 },
259 { 46, 106, 10.000 , 0.070 }, 252 { 46, 106, 10.000 , 0.070 },
260 { 47, 107, 10.869 , 0.095 }, 253 { 47, 107, 10.869 , 0.095 },
261 { 48, 112, 10.624 , 0.094 }, 254 { 48, 112, 10.624 , 0.094 },
262 { 49, 115, 11.38 , 0.11 }, 255 { 49, 115, 11.38 , 0.11 },
263 { 50, 119, 10.60 , 0.11 }, 256 { 50, 119, 10.60 , 0.11 },
264 { 51, 121, 10.40 , 0.12 }, 257 { 51, 121, 10.40 , 0.12 },
265 { 52, 128, 9.174 , 0.074 }, 258 { 52, 128, 9.174 , 0.074 },
266 { 53, 127, 11.276 , 0.098 }, 259 { 53, 127, 11.276 , 0.098 },
267 { 55, 133, 10.98 , 0.25 }, 260 { 55, 133, 10.98 , 0.25 },
268 { 56, 138, 10.112 , 0.085 }, 261 { 56, 138, 10.112 , 0.085 },
269 { 57, 139, 10.71 , 0.10 }, 262 { 57, 139, 10.71 , 0.10 },
270 { 58, 140, 11.501 , 0.087 }, 263 { 58, 140, 11.501 , 0.087 },
271 { 59, 141, 13.45 , 0.13 }, 264 { 59, 141, 13.45 , 0.13 },
272 { 60, 144, 12.35 , 0.13 }, 265 { 60, 144, 12.35 , 0.13 },
273 { 62, 150, 12.22 , 0.17 }, 266 { 62, 150, 12.22 , 0.17 },
274 { 64, 157, 12.00 , 0.13 }, 267 { 64, 157, 12.00 , 0.13 },
275 { 65, 159, 12.73 , 0.13 }, 268 { 65, 159, 12.73 , 0.13 },
276 { 66, 163, 12.29 , 0.18 }, 269 { 66, 163, 12.29 , 0.18 },
277 { 67, 165, 12.95 , 0.13 }, 270 { 67, 165, 12.95 , 0.13 },
278 { 68, 167, 13.04 , 0.27 }, 271 { 68, 167, 13.04 , 0.27 },
279 { 72, 178, 13.03 , 0.21 }, 272 { 72, 178, 13.03 , 0.21 },
280 { 73, 181, 12.86 , 0.13 }, 273 { 73, 181, 12.86 , 0.13 },
281 { 74, 184, 12.76 , 0.16 }, 274 { 74, 184, 12.76 , 0.16 },
282 { 79, 197, 13.35 , 0.10 }, 275 { 79, 197, 13.35 , 0.10 },
283 { 80, 201, 12.74 , 0.18 }, 276 { 80, 201, 12.74 , 0.18 },
284 { 81, 205, 13.85 , 0.17 }, 277 { 81, 205, 13.85 , 0.17 },
285 { 82, 207, 13.295 , 0.071 }, 278 { 82, 207, 13.295 , 0.071 },
286 { 83, 209, 13.238 , 0.065 }, 279 { 83, 209, 13.238 , 0.065 },
287 { 90, 232, 12.555 , 0.049 }, 280 { 90, 232, 12.555 , 0.049 },
288 { 92, 238, 12.592 , 0.035 }, 281 { 92, 238, 12.592 , 0.035 },
289 { 92, 233, 14.27 , 0.15 }, 282 { 92, 233, 14.27 , 0.15 },
290 { 92, 235, 13.470 , 0.085 }, 283 { 92, 235, 13.470 , 0.085 },
291 { 92, 236, 13.90 , 0.40 }, 284 { 92, 236, 13.90 , 0.40 },
292 { 93, 237, 13.58 , 0.18 }, 285 { 93, 237, 13.58 , 0.18 },
293 { 94, 239, 13.90 , 0.20 }, 286 { 94, 239, 13.90 , 0.20 },
294 { 94, 242, 12.86 , 0.19 } 287 { 94, 242, 12.86 , 0.19 }
295 }; 288 };
296 289
297 G4double lambda = -1.; 290 G4double lambda = -1.;
298 291
299 size_t nCapRates = sizeof(capRates)/sizeof(c 292 size_t nCapRates = sizeof(capRates)/sizeof(capRates[0]);
300 for (size_t j = 0; j < nCapRates; ++j) { 293 for (size_t j = 0; j < nCapRates; ++j) {
301 if( capRates[j].Z == Z && capRates[j].A == 294 if( capRates[j].Z == Z && capRates[j].A == A ) {
302 lambda = capRates[j].cRate / microsecond 295 lambda = capRates[j].cRate / microsecond;
303 break; 296 break;
304 } 297 }
305 // make sure the data is sorted for the ne 298 // make sure the data is sorted for the next statement to work correctly
306 if (capRates[j].Z > Z) {break;} 299 if (capRates[j].Z > Z) {break;}
307 } 300 }
308 301
309 if (lambda < 0.) { 302 if (lambda < 0.) {
310 303
311 // == Mu capture lifetime (Goulard and Pr 304 // == Mu capture lifetime (Goulard and Primakoff PRC10(1974)2034.
312 305
313 static const G4double b0a = -0.03; << 306 const G4double b0a = -0.03;
314 static const G4double b0b = -0.25; << 307 const G4double b0b = -0.25;
315 static const G4double b0c = 3.24; << 308 const G4double b0c = 3.24;
316 static const G4double t1 = 875.e-9; // -10 << 309 const G4double t1 = 875.e-9; // -10-> -9 suggested by user
317 G4double r1 = GetMuonZeff(Z); 310 G4double r1 = GetMuonZeff(Z);
318 G4double zeff2 = r1 * r1; 311 G4double zeff2 = r1 * r1;
319 312
320 // ^-4 -> ^-5 suggested by user 313 // ^-4 -> ^-5 suggested by user
321 G4double xmu = zeff2 * 2.663e-5; 314 G4double xmu = zeff2 * 2.663e-5;
322 G4double a2ze = 0.5 *G4double(A) / G4doubl 315 G4double a2ze = 0.5 *G4double(A) / G4double(Z);
323 G4double r2 = 1.0 - xmu; 316 G4double r2 = 1.0 - xmu;
324 lambda = t1 * zeff2 * zeff2 * (r2 * r2) * 317 lambda = t1 * zeff2 * zeff2 * (r2 * r2) * (1.0 - (1.0 - xmu) * .75704) *
325 (a2ze * b0a + 1.0 - (a2ze - 1.0) * b0b - 318 (a2ze * b0a + 1.0 - (a2ze - 1.0) * b0b -
326 G4double(2 * (A - Z) + std::abs(a2ze - << 319 G4double(2 * (A - Z) + std::fabs(a2ze - 1.) ) * b0c / G4double(A * 4) );
327 320
328 } 321 }
329 322
330 return lambda; 323 return lambda;
331 324
332 } 325 }
333 326
334 //....oooOO0OOooo........oooOO0OOooo........oo 327 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
335 328
336 329
337 G4double G4MuonMinusBoundDecay::GetMuonZeff(G4 << 330 G4double G4MuonMinusBoundDecay::GetMuonZeff(G4int Z)
338 { 331 {
339 332
340 // == Effective charges from 333 // == Effective charges from
341 // "Total Nuclear Capture Rates for Negative 334 // "Total Nuclear Capture Rates for Negative Muons"
342 // T. Suzuki, D. F. Measday, J.P. Roalsvig P 335 // T. Suzuki, D. F. Measday, J.P. Roalsvig Phys.Rev. C35 (1987) 2212
343 // and if not present from 336 // and if not present from
344 // Ford and Wills Nucl Phys 35(1962)295 or i 337 // Ford and Wills Nucl Phys 35(1962)295 or interpolated
345 338
346 static const G4int maxZ = 100; << 339
347 static const G4double zeff[] = << 340 const size_t maxZ = 100;
>> 341 const G4double zeff[maxZ+1] =
348 { 0., 342 { 0.,
349 1.00, 1.98, 2.94, 3.89, 4.81, 5.72, 6.6 343 1.00, 1.98, 2.94, 3.89, 4.81, 5.72, 6.61, 7.49, 8.32, 9.14,
350 9.95,10.69,11.48,12.22,12.90,13.64,14.2 344 9.95,10.69,11.48,12.22,12.90,13.64,14.24,14.89,15.53,16.15,
351 16.77,17.38,18.04,18.49,19.06,19.59,20. 345 16.77,17.38,18.04,18.49,19.06,19.59,20.13,20.66,21.12,21.61,
352 22.02,22.43,22.84,23.24,23.65,24.06,24. 346 22.02,22.43,22.84,23.24,23.65,24.06,24.47,24.85,25.23,25.61,
353 25.99,26.37,26.69,27.00,27.32,27.63,27. 347 25.99,26.37,26.69,27.00,27.32,27.63,27.95,28.20,28.42,28.64,
354 28.79,29.03,29.27,29.51,29.75,29.99,30. 348 28.79,29.03,29.27,29.51,29.75,29.99,30.22,30.36,30.53,30.69,
355 30.85,31.01,31.18,31.34,31.48,31.62,31. 349 30.85,31.01,31.18,31.34,31.48,31.62,31.76,31.90,32.05,32.19,
356 32.33,32.47,32.61,32.76,32.94,33.11,33. 350 32.33,32.47,32.61,32.76,32.94,33.11,33.29,33.46,33.64,33.81,
357 34.21,34.18,34.00,34.10,34.21,34.31,34. 351 34.21,34.18,34.00,34.10,34.21,34.31,34.42,34.52,34.63,34.73,
358 34.84,34.94,35.05,35.16,35.25,35.36,35. 352 34.84,34.94,35.05,35.16,35.25,35.36,35.46,35.57,35.67,35.78 };
359 353
360 G4int Z = std::max(std::min(ZZ, maxZ), 1); << 354 if (Z<0) {Z=0;}
>> 355 if (Z>G4int(maxZ)) {Z=maxZ;}
>> 356
361 return zeff[Z]; 357 return zeff[Z];
362 } <<
363 358
364 G4double G4MuonMinusBoundDecay::GetMuonDecayRa <<
365 { <<
366 G4int A = G4lrint(G4NistManager::Instance()- <<
367 return GetMuonDecayRate(Z, A, G4MuonMinus::M <<
368 G4NucleiProperties:: <<
369 } 359 }
370 360
371 G4double G4MuonMinusBoundDecay::GetMuonDecayRa << 361
372 << 362 G4double G4MuonMinusBoundDecay::GetMuonDecayRate(G4int Z)
373 <<
374 { 363 {
375 // Decay time correction based on << 364 // Decay time on K-shell
376 // H. C. Von Baeyer and D. Leiter, Phys. Rev << 365 // N.C.Mukhopadhyay Phys. Rep. 30 (1977) 1.
377 // replacing N.C.Mukhopadhyay Phys. Rep. 30 <<
378 // for Z < 14 inspired by report 2049 <<
379 // Lambda(bound)/Lambda(free) = 1-(0.5+0.06* <<
380 366
381 // PDG 2012 muon lifetime value is 2.1969811 << 367 // this is the "small Z" approximation formula (2.9)
382 // which when inverted gives 0.4551700 << 368 // Lambda(bound)/Lambda(free) = 1-beta(Z*alpha)**2 with beta~=2.5
>> 369 // we assume that Z is Zeff
383 370
384 // we pass known alraedy in ApplyYourself mu << 371 // PDG 2012 muon lifetime value is 2.1969811(22) 10e-6s
385 // avoid refetching/recalculations << 372 // which when inverted gives 0.45517005 10e+6/s
386 373
387 struct decRate { 374 struct decRate {
388 G4int Z; 375 G4int Z;
389 G4int A; <<
390 G4double dRate; 376 G4double dRate;
391 G4double dRErr; 377 G4double dRErr;
392 }; 378 };
393 379
394 // this struct has to be sorted by Z when in 380 // this struct has to be sorted by Z when initialized as we exit the
395 // loop once Z is above the stored value 381 // loop once Z is above the stored value
396 382
397 static const decRate decRates [] = { << 383 const decRate decRates [] = {
398 { 0, 0, 0.45517005, 0.00000046 } // free << 384 { 1, 0.4558514, 0.0000151 }
399 }; 385 };
400 386
401 G4double lambda = -1.; 387 G4double lambda = -1.;
402 if (Z == 0 && A == 0) {lambda = decRates[0] <<
403 388
404 // size_t nDecRates = sizeof(decRates)/sizeo 389 // size_t nDecRates = sizeof(decRates)/sizeof(decRates[0]);
405 // for (size_t j = 0; j < nDecRates; ++j) { 390 // for (size_t j = 0; j < nDecRates; ++j) {
406 // if( decRates[j].Z == Z && decRates[j].A << 391 // if( decRates[j].Z == Z ) {
407 // lambda = decRates[j].cRate / microsec << 392 // lambda = decRates[j].dRate / microsecond;
408 // break; 393 // break;
409 // } 394 // }
410 // // make sure the data is sorted for the << 395 // // make sure the data is sorted for the next statement to work
411 // if (decRates[j].Z > Z) {break;} 396 // if (decRates[j].Z > Z) {break;}
412 // } 397 // }
413 398
414 // we'll use the above code once we have the << 399 // we'll use the above code once we have more data
415 // if we had one value we would just assign << 400 // since we only have one value we just assign it
416 // if (Z == 1 && A == 1) {lambda = decRates << 401 if (Z == 1) {lambda = decRates[0].dRate/microsecond;}
417 402
418 if (lambda < 0.) { 403 if (lambda < 0.) {
419 const G4double freeMuonDecayRate = 0.4551 404 const G4double freeMuonDecayRate = 0.45517005 / microsecond;
420 lambda = 1.0; 405 lambda = 1.0;
421 G4double x = Z*fine_structure_const; << 406 G4double x = GetMuonZeff(Z)*fine_structure_const;
422 if (Z<14) { << 407 lambda -= 2.5 * x * x;
423 // using the Phys. Rev. formula <<
424 lambda -= x * x * (0.5 + 0.06 * muMass/n <<
425 } else { <<
426 // based on a fit to the data ref. in Ph <<
427 lambda -= x * x * (0.868699 - x * 0.708 <<
428 } <<
429 lambda *= freeMuonDecayRate; 408 lambda *= freeMuonDecayRate;
430 } 409 }
>> 410
431 return lambda; 411 return lambda;
>> 412
432 } 413 }
433 414
434 //....oooOO0OOooo........oooOO0OOooo........oo 415 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
435 416
436 void G4MuonMinusBoundDecay::ModelDescription(s 417 void G4MuonMinusBoundDecay::ModelDescription(std::ostream& outFile) const
437 { 418 {
438 outFile << " Sample probabilities of mu- nuc << 419 outFile << "Sample probabilities of mu- nuclear capture of decay"
439 << " from K-shell orbit.\n" << 420 << " from K-shell orbit.\n"
440 << " Time of projectile is changed t << 421 << " Time of projectile is changed taking into account life time"
441 << " of muonic atom.\n" << 422 << " of muonic atom.\n"
442 << " If decay is sampled primary sta << 423 << " If decay is sampled primary state become stopAndKill,"
443 << " else - isAlive.\n" << 424 << " else - isAlive.\n"
444 << " Mainly based on:\n" << 425 << " Based of reviews:\n"
445 << " H.C. Von Baeyer and D.Leiter, << 426 << " N.C.Mukhopadhyay Phy. Rep. 30 (1977) 1.\n"
446 << " T.Suzuki, D.F.Measday, J.P.Roa << 427 << " T. Suzuki, D. F. Measday, J.P. Roalsvig Phys.Rev. C35 (1987) 2212\n";
447 << " with an emprical fit to the Huf << 428
448 << " from the above review\n"; <<
449 } 429 }
450 430
451 //....oooOO0OOooo........oooOO0OOooo........oo 431 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 432
452 433