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25 // 25 //
26 // G4MuonRadiativeDecayChannelWithSpin class i << 26 // ------------------------------------------------------------
>> 27 // GEANT 4 class header file
>> 28 //
>> 29 // History:
>> 30 // 01 August 2007 P.Gumplinger
>> 31 // Reference: TRIUMF TWIST Technotes TN-55:
>> 32 // Pierre Depommier - "Radiative MuonDecay"
>> 33 //
>> 34 // ------------------------------------------------------------
>> 35 //
>> 36 //
27 // 37 //
28 // References: <<
29 // - TRIUMF/TWIST Technote TN-55: <<
30 // "Radiative muon decay" by P. Depommier an <<
31 // - Yoshitaka Kuno and Yasuhiro Okada <<
32 // "Muon Decays and Physics Beyond the Stand <<
33 // Rev. Mod. Phys. 73, 151 (2001) <<
34 // <<
35 // Author: P.Gumplinger - Triumf, 25 July 2007 <<
36 // Revision: D.Mingming - Center for HEP, Tsin <<
37 // ------------------------------------------- <<
38 38
39 #include "G4MuonRadiativeDecayChannelWithSpin. 39 #include "G4MuonRadiativeDecayChannelWithSpin.hh"
40 40
>> 41 #include "Randomize.hh"
41 #include "G4DecayProducts.hh" 42 #include "G4DecayProducts.hh"
42 #include "G4LorentzVector.hh" 43 #include "G4LorentzVector.hh"
43 #include "G4PhysicalConstants.hh" <<
44 #include "G4SystemOfUnits.hh" <<
45 #include "Randomize.hh" <<
46 44
47 G4MuonRadiativeDecayChannelWithSpin::G4MuonRad << 45 G4MuonRadiativeDecayChannelWithSpin::
48 const G4String& theParentName, G4double theB << 46 G4MuonRadiativeDecayChannelWithSpin(const G4String& theParentName,
49 : G4VDecayChannel("Radiative Muon Decay", 1) << 47 G4double theBR)
>> 48 : G4VDecayChannel("Radiative Muon Decay",1)
50 { 49 {
51 // set names for daughter particles 50 // set names for daughter particles
52 if (theParentName == "mu+") { 51 if (theParentName == "mu+") {
53 SetBR(theBR); 52 SetBR(theBR);
54 SetParent("mu+"); 53 SetParent("mu+");
55 SetNumberOfDaughters(4); 54 SetNumberOfDaughters(4);
56 SetDaughter(0, "e+"); 55 SetDaughter(0, "e+");
57 SetDaughter(1, "gamma"); 56 SetDaughter(1, "gamma");
58 SetDaughter(2, "nu_e"); 57 SetDaughter(2, "nu_e");
59 SetDaughter(3, "anti_nu_mu"); 58 SetDaughter(3, "anti_nu_mu");
60 } << 59 } else if (theParentName == "mu-") {
61 else if (theParentName == "mu-") { <<
62 SetBR(theBR); 60 SetBR(theBR);
63 SetParent("mu-"); 61 SetParent("mu-");
64 SetNumberOfDaughters(4); 62 SetNumberOfDaughters(4);
65 SetDaughter(0, "e-"); 63 SetDaughter(0, "e-");
66 SetDaughter(1, "gamma"); 64 SetDaughter(1, "gamma");
67 SetDaughter(2, "anti_nu_e"); 65 SetDaughter(2, "anti_nu_e");
68 SetDaughter(3, "nu_mu"); 66 SetDaughter(3, "nu_mu");
69 } << 67 } else {
70 else { <<
71 #ifdef G4VERBOSE 68 #ifdef G4VERBOSE
72 if (GetVerboseLevel() > 0) { << 69 if (GetVerboseLevel()>0) {
73 G4cout << "G4RadiativeMuonDecayChannel:: << 70 G4cout << "G4RadiativeMuonDecayChannel:: constructor :";
74 G4cout << " parent particle is not muon 71 G4cout << " parent particle is not muon but ";
75 G4cout << theParentName << G4endl; 72 G4cout << theParentName << G4endl;
76 } 73 }
77 #endif 74 #endif
78 } 75 }
>> 76 EMMU = 0.*MeV;
>> 77 EMASS = 0.*MeV;
79 } 78 }
80 79
81 G4MuonRadiativeDecayChannelWithSpin& << 80 G4MuonRadiativeDecayChannelWithSpin::~G4MuonRadiativeDecayChannelWithSpin()
82 G4MuonRadiativeDecayChannelWithSpin::operator= <<
83 { 81 {
84 if (this != &right) { <<
85 kinematics_name = right.kinematics_name; <<
86 verboseLevel = right.verboseLevel; <<
87 rbranch = right.rbranch; <<
88 <<
89 // copy parent name <<
90 parent_name = new G4String(*right.parent_n <<
91 <<
92 // clear daughters_name array <<
93 ClearDaughtersName(); <<
94 <<
95 // recreate array <<
96 numberOfDaughters = right.numberOfDaughter <<
97 if (numberOfDaughters > 0) { <<
98 if (daughters_name != nullptr) ClearDaug <<
99 daughters_name = new G4String*[numberOfD <<
100 // copy daughters name <<
101 for (G4int index = 0; index < numberOfDa <<
102 daughters_name[index] = new G4String(* <<
103 } <<
104 } <<
105 parent_polarization = right.parent_polariz <<
106 } <<
107 return *this; <<
108 } 82 }
109 83
110 G4DecayProducts* G4MuonRadiativeDecayChannelWi << 84 G4DecayProducts *G4MuonRadiativeDecayChannelWithSpin::DecayIt(G4double)
111 { 85 {
>> 86
112 #ifdef G4VERBOSE 87 #ifdef G4VERBOSE
113 if (GetVerboseLevel() > 1) G4cout << "G4Muon << 88 if (GetVerboseLevel()>1)
>> 89 G4cout << "G4MuonRadiativeDecayChannelWithSpin::DecayIt ";
114 #endif 90 #endif
115 91
116 CheckAndFillParent(); << 92 if (parent == 0) FillParent();
117 CheckAndFillDaughters(); << 93 if (daughters == 0) FillDaughters();
118 94
119 // parent mass 95 // parent mass
120 G4double parentmass = G4MT_parent->GetPDGMas << 96 G4double parentmass = parent->GetPDGMass();
121 97
122 G4double EMMU = parentmass; << 98 EMMU = parentmass;
123 99
124 // daughters'mass << 100 //daughters'mass
125 G4double daughtermass[4]; << 101 G4double daughtermass[4];
126 // G4double sumofdaughtermass = 0.0; << 102 G4double sumofdaughtermass = 0.0;
127 for (G4int index = 0; index < 4; ++index) { << 103 for (G4int index=0; index<4; index++){
128 daughtermass[index] = G4MT_daughters[index << 104 daughtermass[index] = daughters[index]->GetPDGMass();
129 // sumofdaughtermass += daughtermass[index << 105 sumofdaughtermass += daughtermass[index];
130 } 106 }
131 107
132 G4double EMASS = daughtermass[0]; << 108 EMASS = daughtermass[0];
133 109
134 // create parent G4DynamicParticle at rest << 110 //create parent G4DynamicParticle at rest
135 G4ThreeVector dummy; 111 G4ThreeVector dummy;
136 auto parentparticle = new G4DynamicParticle( << 112 G4DynamicParticle * parentparticle =
137 << 113 new G4DynamicParticle( parent, dummy, 0.0);
138 // create G4Decayproducts << 114 //create G4Decayproducts
139 auto products = new G4DecayProducts(*parentp << 115 G4DecayProducts *products = new G4DecayProducts(*parentparticle);
140 delete parentparticle; 116 delete parentparticle;
141 117
142 G4double eps = EMASS / EMMU; << 118 G4int i = 0;
143 119
144 G4double som0, x, y, xx, yy, zz; << 120 G4double eps = EMASS/EMMU;
>> 121
>> 122 G4double som0, Qsqr, x, y, xx, yy, zz;
145 G4double cthetaE, cthetaG, cthetaGE, phiE, p 123 G4double cthetaE, cthetaG, cthetaGE, phiE, phiG;
146 const std::size_t MAX_LOOP = 10000; <<
147 124
148 for (std::size_t loop_counter1 = 0; loop_cou << 125 do {
149 for (std::size_t loop_counter2 = 0; loop_c <<
150 // ------------------------------------- <<
151 // Build two vectors of random length an <<
152 // positron and the photon. <<
153 // x/y is the length of the vector, xx, <<
154 // phi is the azimutal angle, theta the <<
155 // ------------------------------------- <<
156 <<
157 // For the positron <<
158 // <<
159 x = G4UniformRand(); <<
160 <<
161 rn3dim(xx, yy, zz, x); <<
162 <<
163 if (std::fabs((xx * xx) + (yy * yy) + (z <<
164 G4cout << "Norm of x not correct" << G <<
165 } <<
166 <<
167 phiE = atan4(xx, yy); <<
168 cthetaE = zz / x; <<
169 G4double sthetaE = std::sqrt((xx * xx) + <<
170 <<
171 // What you get: <<
172 // <<
173 // x = positron energy <<
174 // phiE = azimutal angle of positron <<
175 // cthetaE = cosine of polar angle of po <<
176 // sthetaE = sine of polar angle of posi <<
177 // <<
178 //// G4cout << " x, xx, yy, zz " << x < <<
179 //// << yy < <<
180 //// G4cout << " phiE, cthetaE, sthetaE <<
181 //// <<
182 //// <<
183 <<
184 // For the photon <<
185 // <<
186 y = G4UniformRand(); <<
187 <<
188 rn3dim(xx, yy, zz, y); <<
189 <<
190 if (std::fabs((xx * xx) + (yy * yy) + (z <<
191 G4cout << " Norm of y not correct " << <<
192 } <<
193 <<
194 phiG = atan4(xx, yy); <<
195 cthetaG = zz / y; <<
196 G4double sthetaG = std::sqrt((xx * xx) + <<
197 <<
198 // What you get: <<
199 // <<
200 // y = photon energy <<
201 // phiG = azimutal angle of photon mo <<
202 // cthetaG = cosine of polar angle of ph <<
203 // sthetaG = sine of polar angle of phot <<
204 // <<
205 //// G4cout << " y, xx, yy, zz " << y < <<
206 //// << yy < <<
207 //// G4cout << " phiG, cthetaG, sthetaG <<
208 //// <<
209 //// <<
210 <<
211 // Calculate the angle between posi <<
212 // <<
213 cthetaGE = cthetaE * cthetaG + sthetaE * <<
214 <<
215 //// G4cout << x << " " << cthetaE << " <<
216 //// << y << " " << cthetaG << " <<
217 //// << cthetaGE <<
218 <<
219 G4double term0 = eps * eps; <<
220 G4double term1 = x * ((1.0 - eps) * (1.0 <<
221 G4double beta = <<
222 std::sqrt(x * ((1.0 - eps) * (1.0 - ep <<
223 / term1; <<
224 G4double delta = 1.0 - beta * cthetaGE; <<
225 <<
226 G4double term3 = y * (1.0 - (eps * eps)) <<
227 G4double term6 = term1 * delta * term3; <<
228 <<
229 G4double Qsqr = (1.0 - term1 - term3 + t <<
230 <<
231 // Check the kinematics. <<
232 // <<
233 if (Qsqr >= 0.0 && Qsqr <= 1.0) break; <<
234 <<
235 } // end loop count <<
236 <<
237 // Do the calculation for -1 muon polariza <<
238 // <<
239 G4double Pmu = -1.0; <<
240 if (GetParentName() == "mu-") { <<
241 Pmu = +1.0; <<
242 } <<
243 126
244 som0 = fron(Pmu, x, y, cthetaE, cthetaG, c << 127 // leap1:
245 128
246 // Sample the decay rate << 129 i++;
247 // <<
248 if (G4UniformRand() * 177.0 <= som0) break <<
249 } <<
250 130
251 G4double E = EMMU / 2. * (x * ((1. - eps) * << 131 // leap2:
252 G4double G = EMMU / 2. * y * (1. - eps * eps <<
253 132
254 if (E < EMASS) E = EMASS; << 133 do {
>> 134 //
>> 135 //--------------------------------------------------------------------------
>> 136 // Build two vectors of random length and random direction, for the
>> 137 // positron and the photon.
>> 138 // x/y is the length of the vector, xx, yy and zz the components,
>> 139 // phi is the azimutal angle, theta the polar angle.
>> 140 //--------------------------------------------------------------------------
>> 141 //
>> 142 // For the positron
>> 143 //
>> 144 x = G4UniformRand();
>> 145
>> 146 rn3dim(xx,yy,zz,x);
>> 147
>> 148 if(std::fabs((xx*xx)+(yy*yy)+(zz*zz)-(x*x))>0.001){
>> 149 G4cout << "Norm of x not correct" << G4endl;
>> 150 }
>> 151
>> 152 phiE = atan4(xx,yy);
>> 153 cthetaE = zz/x;
>> 154 G4double sthetaE = std::sqrt((xx*xx)+(yy*yy))/x;
>> 155 //
>> 156 // What you get:
>> 157 //
>> 158 // x = positron energy
>> 159 // phiE = azimutal angle of positron momentum
>> 160 // cthetaE = cosine of polar angle of positron momentum
>> 161 // sthetaE = sine of polar angle of positron momentum
>> 162 //
>> 163 //// G4cout << " x, xx, yy, zz " << x << " " << xx << " "
>> 164 //// << yy << " " << zz << G4endl;
>> 165 //// G4cout << " phiE, cthetaE, sthetaE " << phiE << " "
>> 166 //// << cthetaE << " "
>> 167 //// << sthetaE << " " << G4endl;
>> 168 //
>> 169 //-----------------------------------------------------------------------
>> 170 //
>> 171 // For the photon
>> 172 //
>> 173 y = G4UniformRand();
>> 174
>> 175 rn3dim(xx,yy,zz,y);
>> 176
>> 177 if(std::fabs((xx*xx)+(yy*yy)+(zz*zz)-(y*y))>0.001){
>> 178 G4cout << " Norm of y not correct " << G4endl;
>> 179 }
>> 180
>> 181 phiG = atan4(xx,yy);
>> 182 cthetaG = zz/y;
>> 183 G4double sthetaG = std::sqrt((xx*xx)+(yy*yy))/y;
>> 184 //
>> 185 // What you get:
>> 186 //
>> 187 // y = photon energy
>> 188 // phiG = azimutal angle of photon momentum
>> 189 // cthetaG = cosine of polar angle of photon momentum
>> 190 // sthetaG = sine of polar angle of photon momentum
>> 191 //
>> 192 //// G4cout << " y, xx, yy, zz " << y << " " << xx << " "
>> 193 //// << yy << " " << zz << G4endl;
>> 194 //// G4cout << " phiG, cthetaG, sthetaG " << phiG << " "
>> 195 //// << cthetaG << " "
>> 196 //// << sthetaG << " " << G4endl;
>> 197 //
>> 198 //-----------------------------------------------------------------------
>> 199 //
>> 200 // Maybe certain restrictions on the kinematical variables:
>> 201 //
>> 202 //// if (cthetaE > 0.01)goto leap2;
>> 203 //// if (cthetaG > 0.01)goto leap2;
>> 204 //// if (std::fabs(x-0.5) > 0.5 )goto leap2;
>> 205 //// if (std::fabs(y-0.5) > 0.5 )goto leap2;
>> 206 //
>> 207 //-----------------------------------------------------------------------
>> 208 //
>> 209 // Calculate the angle between positron and photon (cosine)
>> 210 //
>> 211 cthetaGE = cthetaE*cthetaG+sthetaE*sthetaG*std::cos(phiE-phiG);
>> 212 //
>> 213 //// G4cout << x << " " << cthetaE << " " << sthetaE << " "
>> 214 //// << y << " " << cthetaG << " " << sthetaG << " "
>> 215 //// << cthetaGE
>> 216 //
>> 217 //-----------------------------------------------------------------------
>> 218 //
>> 219 G4double term0 = eps*eps;
>> 220 G4double term1 = x*((1.0-eps)*(1.0-eps))+2.0*eps;
>> 221 G4double beta = std::sqrt( x*((1.0-eps)*(1.0-eps))*
>> 222 (x*((1.0-eps)*(1.0-eps))+4.0*eps))/term1;
>> 223 G4double delta = 1.0-beta*cthetaGE;
>> 224
>> 225 G4double term3 = y*(1.0-(eps*eps));
>> 226 G4double term6 = term1*delta*term3;
>> 227
>> 228 Qsqr = (1.0-term1-term3+term0+0.5*term6)/((1.0-eps)*(1.0-eps));
>> 229 //
>> 230 //-----------------------------------------------------------------------
>> 231 //
>> 232 // Check the kinematics.
>> 233 //
>> 234 } while ( Qsqr<0.0 || Qsqr>1.0 );
>> 235 //
>> 236 //// G4cout << x << " " << y << " " << beta << " " << Qsqr << G4endl;
>> 237 //
>> 238 // Do the calculation for -1 muon polarization (i.e. mu+)
>> 239 //
>> 240 G4double Pmu = -1.0;
>> 241 if (GetParentName() == "mu-")Pmu = +1.0;
>> 242 //
>> 243 // and for Fronsdal
>> 244 //
>> 245 //-----------------------------------------------------------------------
>> 246 //
>> 247 som0 = fron(Pmu,x,y,cthetaE,cthetaG,cthetaGE);
>> 248 //
>> 249 //// if(som0<0.0){
>> 250 //// G4cout << " som0 < 0 in Fronsdal " << som0
>> 251 //// << " at event " << i << G4endl;
>> 252 //// G4cout << Pmu << " " << x << " " << y << " "
>> 253 //// << cthetaE << " " << cthetaG << " "
>> 254 //// << cthetaGE << " " << som0 << G4endl;
>> 255 //// }
>> 256 //
>> 257 //-----------------------------------------------------------------------
>> 258 //
>> 259 //// G4cout << x << " " << y << " " << som0 << G4endl;
>> 260 //
>> 261 //----------------------------------------------------------------------
>> 262 //
>> 263 // Sample the decay rate
>> 264 //
>> 265
>> 266 } while (G4UniformRand()*250000.0 > som0);
>> 267
>> 268 /// if(i<10000000)goto leap1:
>> 269 //
>> 270 //-----------------------------------------------------------------------
>> 271 //
>> 272 G4double E = EMMU/2.*(x*((1.-eps)*(1.-eps))+2.*eps);
>> 273 G4double G = EMMU/2.*y*(1.-eps*eps);
>> 274 //
>> 275 //-----------------------------------------------------------------------
>> 276 //
>> 277
>> 278 if(E < EMASS) E = EMASS;
255 279
256 // calculate daughter momentum 280 // calculate daughter momentum
257 G4double daughtermomentum[4]; 281 G4double daughtermomentum[4];
258 282
259 daughtermomentum[0] = std::sqrt(E * E - EMAS << 283 daughtermomentum[0] = std::sqrt(E*E - EMASS*EMASS);
260 284
261 G4double sthetaE = std::sqrt(1. - cthetaE * << 285 G4double sthetaE = std::sqrt(1.-cthetaE*cthetaE);
262 G4double cphiE = std::cos(phiE); 286 G4double cphiE = std::cos(phiE);
263 G4double sphiE = std::sin(phiE); 287 G4double sphiE = std::sin(phiE);
264 288
265 // Coordinates of the decay positron with re << 289 //Coordinates of the decay positron with respect to the muon spin
266 290
267 G4double px = sthetaE * cphiE; << 291 G4double px = sthetaE*cphiE;
268 G4double py = sthetaE * sphiE; << 292 G4double py = sthetaE*sphiE;
269 G4double pz = cthetaE; 293 G4double pz = cthetaE;
270 294
271 G4ThreeVector direction0(px, py, pz); << 295 G4ThreeVector direction0(px,py,pz);
272 296
273 direction0.rotateUz(parent_polarization); 297 direction0.rotateUz(parent_polarization);
274 298
275 auto daughterparticle0 = << 299 G4DynamicParticle * daughterparticle0
276 new G4DynamicParticle(G4MT_daughters[0], d << 300 = new G4DynamicParticle( daughters[0], daughtermomentum[0]*direction0);
277 301
278 products->PushProducts(daughterparticle0); 302 products->PushProducts(daughterparticle0);
279 303
280 daughtermomentum[1] = G; 304 daughtermomentum[1] = G;
281 305
282 G4double sthetaG = std::sqrt(1. - cthetaG * << 306 G4double sthetaG = std::sqrt(1.-cthetaG*cthetaG);
283 G4double cphiG = std::cos(phiG); 307 G4double cphiG = std::cos(phiG);
284 G4double sphiG = std::sin(phiG); 308 G4double sphiG = std::sin(phiG);
285 309
286 // Coordinates of the decay gamma with respe << 310 //Coordinates of the decay gamma with respect to the muon spin
287 311
288 px = sthetaG * cphiG; << 312 px = sthetaG*cphiG;
289 py = sthetaG * sphiG; << 313 py = sthetaG*sphiG;
290 pz = cthetaG; 314 pz = cthetaG;
291 315
292 G4ThreeVector direction1(px, py, pz); << 316 G4ThreeVector direction1(px,py,pz);
293 317
294 direction1.rotateUz(parent_polarization); 318 direction1.rotateUz(parent_polarization);
295 319
296 auto daughterparticle1 = << 320 G4DynamicParticle * daughterparticle1
297 new G4DynamicParticle(G4MT_daughters[1], d << 321 = new G4DynamicParticle( daughters[1], daughtermomentum[1]*direction1);
298 322
299 products->PushProducts(daughterparticle1); 323 products->PushProducts(daughterparticle1);
300 324
301 // daughter 3 ,4 (neutrinos) 325 // daughter 3 ,4 (neutrinos)
302 // create neutrinos in the C.M frame of two 326 // create neutrinos in the C.M frame of two neutrinos
303 327
304 G4double energy2 = parentmass - E - G; << 328 G4double energy2 = parentmass*(1.0 - (x+y)/2.0);
305 329
306 G4ThreeVector P34 = -1. * (daughtermomentum[ << 330 G4double vmass = std::sqrt((energy2-
307 G4double vmass2 = energy2 * energy2 - P34.ma << 331 (daughtermomentum[0]+daughtermomentum[1]))*
308 G4double vmass = std::sqrt(vmass2); << 332 (energy2+
309 << 333 (daughtermomentum[0]+daughtermomentum[1])));
310 G4double costhetan = 2. * G4UniformRand() - << 334 G4double beta = (daughtermomentum[0]+daughtermomentum[1])/energy2;
311 G4double sinthetan = std::sqrt((1.0 - costhe << 335 beta = -1.0 * std::min(beta,0.99);
312 G4double phin = twopi * G4UniformRand() * ra << 336
>> 337 G4double costhetan = 2.*G4UniformRand()-1.0;
>> 338 G4double sinthetan = std::sqrt((1.0-costhetan)*(1.0+costhetan));
>> 339 G4double phin = twopi*G4UniformRand()*rad;
313 G4double sinphin = std::sin(phin); 340 G4double sinphin = std::sin(phin);
314 G4double cosphin = std::cos(phin); 341 G4double cosphin = std::cos(phin);
315 342
316 G4ThreeVector direction2(sinthetan * cosphin << 343 G4ThreeVector direction2(sinthetan*cosphin,sinthetan*sinphin,costhetan);
317 344
318 auto daughterparticle2 = new G4DynamicPartic << 345 G4DynamicParticle * daughterparticle2
319 auto daughterparticle3 = << 346 = new G4DynamicParticle( daughters[2], direction2*(vmass/2.));
320 new G4DynamicParticle(G4MT_daughters[3], d << 347 G4DynamicParticle * daughterparticle3
>> 348 = new G4DynamicParticle( daughters[3], direction2*(-1.0*vmass/2.));
321 349
322 // boost to the muon rest frame 350 // boost to the muon rest frame
323 G4double beta = P34.mag() / energy2; << 351
324 G4ThreeVector direction34 = P34.unit(); << 352 G4ThreeVector direction34(direction0.x()+direction1.x(),
>> 353 direction0.y()+direction1.y(),
>> 354 direction0.z()+direction1.z());
>> 355 direction34 = direction34.unit();
325 356
326 G4LorentzVector p4 = daughterparticle2->Get4 357 G4LorentzVector p4 = daughterparticle2->Get4Momentum();
327 p4.boost(direction34.x() * beta, direction34 << 358 p4.boost(direction34.x()*beta,direction34.y()*beta,direction34.z()*beta);
328 daughterparticle2->Set4Momentum(p4); 359 daughterparticle2->Set4Momentum(p4);
329 360
330 p4 = daughterparticle3->Get4Momentum(); 361 p4 = daughterparticle3->Get4Momentum();
331 p4.boost(direction34.x() * beta, direction34 << 362 p4.boost(direction34.x()*beta,direction34.y()*beta,direction34.z()*beta);
332 daughterparticle3->Set4Momentum(p4); 363 daughterparticle3->Set4Momentum(p4);
333 364
334 products->PushProducts(daughterparticle2); 365 products->PushProducts(daughterparticle2);
335 products->PushProducts(daughterparticle3); 366 products->PushProducts(daughterparticle3);
336 367
337 daughtermomentum[2] = daughterparticle2->Get 368 daughtermomentum[2] = daughterparticle2->GetTotalMomentum();
338 daughtermomentum[3] = daughterparticle3->Get 369 daughtermomentum[3] = daughterparticle3->GetTotalMomentum();
339 370
340 // output message << 371 // output message
341 #ifdef G4VERBOSE 372 #ifdef G4VERBOSE
342 if (GetVerboseLevel() > 1) { << 373 if (GetVerboseLevel()>1) {
343 G4cout << "G4MuonRadiativeDecayChannelWith << 374 G4cout << "G4MuonRadiativeDecayChannelWithSpin::DecayIt ";
344 G4cout << " create decay products in rest << 375 G4cout << " create decay products in rest frame " <<G4endl;
345 G4double TT = daughterparticle0->GetTotalE << 376 products->DumpInfo();
346 + daughterparticle2->GetTota <<
347 G4cout << "e :" << daughterparticle0->G <<
348 G4cout << "gamma:" << daughterparticle1->G <<
349 G4cout << "nu2 :" << daughterparticle2->G <<
350 G4cout << "nu2 :" << daughterparticle3->G <<
351 G4cout << "total:" << (TT - parentmass) / <<
352 if (GetVerboseLevel() > 1) { <<
353 products->DumpInfo(); <<
354 } <<
355 } 377 }
356 #endif 378 #endif
357 <<
358 return products; 379 return products;
359 } 380 }
360 381
361 G4double G4MuonRadiativeDecayChannelWithSpin:: << 382 G4double G4MuonRadiativeDecayChannelWithSpin::fron(G4double Pmu,
362 << 383 G4double x,
>> 384 G4double y,
>> 385 G4double cthetaE,
>> 386 G4double cthetaG,
363 387 G4double cthetaGE)
364 { 388 {
365 G4double mu = 105.65; << 389 G4double mu = 105.65;
366 G4double me = 0.511; << 390 G4double me = 0.511;
367 G4double rho = 0.75; << 391 G4double rho = 0.75;
368 G4double del = 0.75; << 392 G4double del = 0.75;
369 G4double eps = 0.0; << 393 G4double eps = 0.0;
370 G4double kap = 0.0; << 394 G4double kap = 0.0;
371 G4double ksi = 1.0; << 395 G4double ksi = 1.0;
372 << 396
373 G4double delta = 1 - cthetaGE; << 397 G4double delta = 1-cthetaGE;
374 << 398
375 // Calculation of the functions f(x,y) << 399 // Calculation of the functions f(x,y)
376 << 400
377 G4double f_1s = 12.0 << 401 G4double f_1s = 12.0*((y*y)*(1.0-y)+x*y*(2.0-3.0*y)
378 * ((y * y) * (1.0 - y) + x * << 402 +2.0*(x*x)*(1.0-2.0*y)-2.0*(x*x*x));
379 - 2.0 * (x * x * x)); << 403 G4double f0s = 6.0*(-x*y*(2.0-3.0*(y*y))
380 G4double f0s = 6.0 << 404 -2.0*(x*x)*(1.0-y-3.0*(y*y))+2.0*(x*x*x)*(1.0+2.0*y));
381 * (-x * y * (2.0 - 3.0 * (y * << 405 G4double f1s = 3.0*((x*x)*y*(2.0-3.0*y-3.0*(y*y))
382 + 2.0 * (x * x * x) * (1.0 << 406 -(x*x*x)*y*(4.0+3.0*y));
383 G4double f1s = << 407 G4double f2s = 1.5*((x*x*x)*(y*y)*(2.0+y));
384 3.0 * ((x * x) * y * (2.0 - 3.0 * y - 3.0 << 408
385 G4double f2s = 1.5 * ((x * x * x) * (y * y) << 409 G4double f_1se = 12.0*(x*y*(1.0-x)+(x*x)*(2.0-3.0*y)
386 << 410 -2.0*(x*x*x));
387 G4double f_1se = 12.0 * (x * y * (1.0 - y) + << 411 G4double f0se = 6.0*(-(x*x)*(2.0-y-2.0*(y*y))
388 G4double f0se = 6.0 * (-(x * x) * (2.0 - y - << 412 +(x*x*x)*(2.0+3.0*y));
389 G4double f1se = -3.0 * (x * x * x) * y * (2. << 413 G4double f1se = -3.0*(x*x*x)*y*(2.0+y);
390 G4double f2se = 0.0; << 414 G4double f2se = 0.0;
391 << 415
392 G4double f_1sg = 12.0 * ((y * y) * (1.0 - y) << 416 G4double f_1sg = 12.0*((y*y)*(1.0-y)+x*y*(1.0-2.0*y)
393 G4double f0sg = << 417 -(x*x)*y);
394 6.0 * (-x * (y * y) * (2.0 - 3.0 * y) - (x << 418 G4double f0sg = 6.0*(-x*(y*y)*(2.0-3.0*y)-(x*x)*y*(1.0-4.0*y)
395 G4double f1sg = 3.0 * ((x * x) * (y * y) * ( << 419 +(x*x*x)*y);
396 G4double f2sg = 1.5 * (x * x * x) * (y * y * << 420 G4double f1sg = 3.0*((x*x)*(y*y)*(1.0-3.0*y)
397 << 421 -2.0*(x*x*x)*(y*y));
398 G4double f_1v = 8.0 << 422 G4double f2sg = 1.5*(x*x*x)*(y*y*y);
399 * ((y * y) * (3.0 - 2.0 * y) << 423
400 + 2.0 * (x * x) * (3.0 - << 424 G4double f_1v = 8.0*((y*y)*(3.0-2.0*y)+6.0*x*y*(1.0-y)
401 G4double f0v = 8.0 << 425 +2.0*(x*x)*(3.0-4.0*y)-4.0*(x*x*x));
402 * (-x * y * (3.0 - y - (y * y << 426 G4double f0v = 8.0*(-x*y*(3.0-y-(y*y))-(x*x)*(3.0-y-4.0*(y*y))
403 + 2.0 * (x * x * x) * (1.0 << 427 +2.0*(x*x*x)*(1.0+2.0*y));
404 G4double f1v = << 428 G4double f1v = 2.0*((x*x)*y*(6.0-5.0*y-2.0*(y*y))
405 2.0 * ((x * x) * y * (6.0 - 5.0 * y - 2.0 << 429 -2.0*(x*x*x)*y*(4.0+3.0*y));
406 G4double f2v = 2.0 * (x * x * x) * (y * y) * << 430 G4double f2v = 2.0*(x*x*x)*(y*y)*(2.0+y);
407 << 431
408 G4double f_1ve = << 432 G4double f_1ve = 8.0*(x*y*(1.0-2.0*y)
409 8.0 * (x * y * (1.0 - 2.0 * y) + 2.0 * (x << 433 +2.0*(x*x)*(1.0-3.0*y)-4.0*(x*x*x));
410 G4double f0ve = << 434 G4double f0ve = 4.0*(-(x*x)*(2.0-3.0*y-4.0*(y*y))
411 4.0 * (-(x * x) * (2.0 - 3.0 * y - 4.0 * ( << 435 +2.0*(x*x*x)*(2.0+3.0*y));
412 G4double f1ve = -4.0 * (x * x * x) * y * (2. << 436 G4double f1ve = -4.0*(x*x*x)*y*(2.0+y);
413 G4double f2ve = 0.0; << 437 G4double f2ve = 0.0;
414 << 438
415 G4double f_1vg = 8.0 * ((y * y) * (1.0 - 2.0 << 439 G4double f_1vg = 8.0*((y*y)*(1.0-2.0*y)+x*y*(1.0-4.0*y)
416 G4double f0vg = << 440 -2.0*(x*x)*y);
417 4.0 * (2.0 * x * (y * y) * (1.0 + y) - (x << 441 G4double f0vg = 4.0*(2.0*x*(y*y)*(1.0+y)-(x*x)*y*(1.0-4.0*y)
418 G4double f1vg = 2.0 * ((x * x) * (y * y) * ( << 442 +2.0*(x*x*x)*y);
419 G4double f2vg = 2.0 * (x * x * x) * (y * y * << 443 G4double f1vg = 2.0*((x*x)*(y*y)*(1.0-2.0*y)
420 << 444 -4.0*(x*x*x)*(y*y));
421 G4double f_1t = 8.0 << 445 G4double f2vg = 2.0*(x*x*x)*(y*y*y);
422 * ((y * y) * (3.0 - y) + 3.0 << 446
423 - 2.0 * (x * x * x)); << 447 G4double f_1t = 8.0*((y*y)*(3.0-y)+3.0*x*y*(2.0-y)
424 G4double f0t = 4.0 << 448 +2.0*(x*x)*(3.0-2.0*y)-2.0*(x*x*x));
425 * (-x * y * (6.0 + (y * y)) - << 449 G4double f0t = 4.0*(-x*y*(6.0+(y*y))
426 + 2.0 * (x * x * x) * (1.0 << 450 -2.0*(x*x)*(3.0+y-3.0*(y*y))+2.0*(x*x*x)*(1.0+2.0*y));
427 G4double f1t = << 451 G4double f1t = 2.0*((x*x)*y*(6.0-5.0*y+(y*y))
428 2.0 * ((x * x) * y * (6.0 - 5.0 * y + (y * << 452 -(x*x*x)*y*(4.0+3.0*y));
429 G4double f2t = (x * x * x) * (y * y) * (2.0 << 453 G4double f2t = (x*x*x)*(y*y)*(2.0+y);
430 << 454
431 G4double f_1te = -8.0 * (x * y * (1.0 + 3.0 << 455 G4double f_1te = -8.0*(x*y*(1.0+3.0*y)+(x*x)*(2.0+3.0*y)
432 G4double f0te = 4.0 * ((x * x) * (2.0 + 3.0 << 456 +2.0*(x*x*x));
433 G4double f1te = -2.0 * (x * x * x) * y * (2. << 457 G4double f0te = 4.0*((x*x)*(2.0+3.0*y+4.0*(y*y))
434 G4double f2te = 0.0; << 458 +(x*x*x)*(2.0+3.0*y));
435 << 459 G4double f1te = -2.0*(x*x*x)*y*(2.0+y);
436 G4double f_1tg = -8.0 * ((y * y) * (1.0 + y) << 460 G4double f2te = 0.0;
437 G4double f0tg = 4.0 * (x * (y * y) * (2.0 - << 461
438 G4double f1tg = -2.0 * ((x * x) * (y * y) * << 462 G4double f_1tg = -8.0*((y*y)*(1.0+y)+x*y+(x*x)*y);
439 G4double f2tg = (x * x * x) * (y * y * y); << 463 G4double f0tg = 4.0*(x*(y*y)*(2.0-y)+(x*x)*y*(1.0+2.0*y)
440 << 464 +(x*x*x)*y);
441 G4double term = delta + 2.0 * (me * me) / (( << 465 G4double f1tg = -2.0*((x*x)*(y*y)*(1.0-y)+2.0*(x*x*x)*y);
442 term = 1.0 / term; << 466 G4double f2tg = (x*x*x)*(y*y*y);
443 << 467
444 G4double nss = term * f_1s + f0s + delta * f << 468 G4double term = delta+2.0*(me*me)/((mu*mu)*(x*x));
445 G4double nv = term * f_1v + f0v + delta * f1 << 469 term = 1.0/term;
446 G4double nt = term * f_1t + f0t + delta * f1 << 470
447 << 471 G4double ns = term*f_1s+f0s+delta*f1s+(delta*delta)*f2s;
448 G4double nse = term * f_1se + f0se + delta * << 472 G4double nv = term*f_1v+f0v+delta*f1v+(delta*delta)*f2v;
449 G4double nve = term * f_1ve + f0ve + delta * << 473 G4double nt = term*f_1t+f0t+delta*f1t+(delta*delta)*f2t;
450 G4double nte = term * f_1te + f0te + delta * << 474
451 << 475 G4double nse = term*f_1se+f0se+delta*f1se+(delta*delta)*f2se;
452 G4double nsg = term * f_1sg + f0sg + delta * << 476 G4double nve = term*f_1ve+f0ve+delta*f1ve+(delta*delta)*f2ve;
453 G4double nvg = term * f_1vg + f0vg + delta * << 477 G4double nte = term*f_1te+f0te+delta*f1te+(delta*delta)*f2te;
454 G4double ntg = term * f_1tg + f0tg + delta * << 478
455 << 479 G4double nsg = term*f_1sg+f0sg+delta*f1sg+(delta*delta)*f2sg;
456 G4double term1 = nv; << 480 G4double nvg = term*f_1vg+f0vg+delta*f1vg+(delta*delta)*f2vg;
457 G4double term2 = 2.0 * nss + nv - nt; << 481 G4double ntg = term*f_1tg+f0tg+delta*f1tg+(delta*delta)*f2tg;
458 G4double term3 = 2.0 * nss - 2.0 * nv + nt; << 482
459 << 483 G4double term1 = nv;
460 G4double term1e = 1.0 / 3.0 * (1.0 - 4.0 / 3 << 484 G4double term2 = 2.0*ns-nv-nt;
461 G4double term2e = 2.0 * nse + 5.0 * nve - nt << 485 G4double term3 = 2.0*ns-2.0*nv+nt;
462 G4double term3e = 2.0 * nse - 2.0 * nve + nt << 486
463 << 487 G4double term1e = 1.0/3.0*(1.0-4.0/3.0*del);
464 G4double term1g = 1.0 / 3.0 * (1.0 - 4.0 / 3 << 488 G4double term2e = 2.0*nse+5.0*nve-nte;
465 G4double term2g = 2.0 * nsg + 5.0 * nvg - nt << 489 G4double term3e = 2.0*nse-2.0*nve+nte;
466 G4double term3g = 2.0 * nsg - 2.0 * nvg + nt << 490
467 << 491 G4double term1g = 1.0/3.0*(1.0-4.0/3.0*del);
468 G4double som00 = term1 + (1.0 - 4.0 / 3.0 * << 492 G4double term2g = 2.0*nsg+5.0*nvg-ntg;
469 G4double som01 = Pmu * ksi << 493 G4double term3g = 2.0*nsg-2.0*nvg+ntg;
470 * (cthetaE * (nve - term1e << 494
471 + cthetaG * (nvg - term1 << 495 G4double som00 = term1+(1.0-4.0/3.0*rho)*term2+eps*term3;
>> 496 G4double som01 = Pmu*ksi*(cthetaE*(nve-term1e*term2e+kap*term3e)
>> 497 +cthetaG*(nvg-term1g*term2g+kap*term3g));
>> 498 G4double som0 = som00+som01;
472 499
473 G4double som0 = (som00 + som01) / y; << 500 // G4cout << x << " " << y << " " << som00 << " "
474 som0 = fine_structure_const / 8. / (twopi * << 501 // << som01 << " " << som0 << G4endl;
475 502
476 return som0; << 503 return som0;
477 } 504 }
478 505