61 #include "G4PhysicalConstants.hh"
62 #include "G4SystemOfUnits.hh"
63 #include "Randomize.hh"
64 #include "G4Electron.hh"
65 #include "G4LossTableManager.hh"
66 #include "G4ParticleChangeForMSC.hh"
68 #include "G4Poisson.hh"
126 mass = proton_mass_c2;
169 const G4ParticleDefinition* part,
170 G4double KineticEnergy,
171 G4double AtomicNumber,G4double,
174 static const G4double sigmafactor =
175 twopi*classic_electr_radius*classic_electr_radius;
176 static const G4double epsfactor = 2.*electron_mass_c2*electron_mass_c2*
177 Bohr_radius*Bohr_radius/(hbarc*hbarc);
178 static const G4double epsmin = 1.e-4 , epsmax = 1.e10;
180 static const G4double Zdat[15] = { 4., 6., 13., 20., 26., 29., 32., 38., 47.,
181 50., 56., 64., 74., 79., 82. };
183 static const G4double Tdat[22] = { 100*eV, 200*eV, 400*eV, 700*eV,
184 1*keV, 2*keV, 4*keV, 7*keV,
185 10*keV, 20*keV, 40*keV, 70*keV,
186 100*keV, 200*keV, 400*keV, 700*keV,
187 1*MeV, 2*MeV, 4*MeV, 7*MeV,
191 static const G4double celectron[15][22] =
192 {{1.125,1.072,1.051,1.047,1.047,1.050,1.052,1.054,
193 1.054,1.057,1.062,1.069,1.075,1.090,1.105,1.111,
194 1.112,1.108,1.100,1.093,1.089,1.087 },
195 {1.408,1.246,1.143,1.096,1.077,1.059,1.053,1.051,
196 1.052,1.053,1.058,1.065,1.072,1.087,1.101,1.108,
197 1.109,1.105,1.097,1.090,1.086,1.082 },
198 {2.833,2.268,1.861,1.612,1.486,1.309,1.204,1.156,
199 1.136,1.114,1.106,1.106,1.109,1.119,1.129,1.132,
200 1.131,1.124,1.113,1.104,1.099,1.098 },
201 {3.879,3.016,2.380,2.007,1.818,1.535,1.340,1.236,
202 1.190,1.133,1.107,1.099,1.098,1.103,1.110,1.113,
203 1.112,1.105,1.096,1.089,1.085,1.098 },
204 {6.937,4.330,2.886,2.256,1.987,1.628,1.395,1.265,
205 1.203,1.122,1.080,1.065,1.061,1.063,1.070,1.073,
206 1.073,1.070,1.064,1.059,1.056,1.056 },
207 {9.616,5.708,3.424,2.551,2.204,1.762,1.485,1.330,
208 1.256,1.155,1.099,1.077,1.070,1.068,1.072,1.074,
209 1.074,1.070,1.063,1.059,1.056,1.052 },
210 {11.72,6.364,3.811,2.806,2.401,1.884,1.564,1.386,
211 1.300,1.180,1.112,1.082,1.073,1.066,1.068,1.069,
212 1.068,1.064,1.059,1.054,1.051,1.050 },
213 {18.08,8.601,4.569,3.183,2.662,2.025,1.646,1.439,
214 1.339,1.195,1.108,1.068,1.053,1.040,1.039,1.039,
215 1.039,1.037,1.034,1.031,1.030,1.036 },
216 {18.22,10.48,5.333,3.713,3.115,2.367,1.898,1.631,
217 1.498,1.301,1.171,1.105,1.077,1.048,1.036,1.033,
218 1.031,1.028,1.024,1.022,1.021,1.024 },
219 {14.14,10.65,5.710,3.929,3.266,2.453,1.951,1.669,
220 1.528,1.319,1.178,1.106,1.075,1.040,1.027,1.022,
221 1.020,1.017,1.015,1.013,1.013,1.020 },
222 {14.11,11.73,6.312,4.240,3.478,2.566,2.022,1.720,
223 1.569,1.342,1.186,1.102,1.065,1.022,1.003,0.997,
224 0.995,0.993,0.993,0.993,0.993,1.011 },
225 {22.76,20.01,8.835,5.287,4.144,2.901,2.219,1.855,
226 1.677,1.410,1.224,1.121,1.073,1.014,0.986,0.976,
227 0.974,0.972,0.973,0.974,0.975,0.987 },
228 {50.77,40.85,14.13,7.184,5.284,3.435,2.520,2.059,
229 1.837,1.512,1.283,1.153,1.091,1.010,0.969,0.954,
230 0.950,0.947,0.949,0.952,0.954,0.963 },
231 {65.87,59.06,15.87,7.570,5.567,3.650,2.682,2.182,
232 1.939,1.579,1.325,1.178,1.108,1.014,0.965,0.947,
233 0.941,0.938,0.940,0.944,0.946,0.954 },
234 {55.60,47.34,15.92,7.810,5.755,3.767,2.760,2.239,
235 1.985,1.609,1.343,1.188,1.113,1.013,0.960,0.939,
236 0.933,0.930,0.933,0.936,0.939,0.949 }};
238 static const G4double cpositron[15][22] = {
239 {2.589,2.044,1.658,1.446,1.347,1.217,1.144,1.110,
240 1.097,1.083,1.080,1.086,1.092,1.108,1.123,1.131,
241 1.131,1.126,1.117,1.108,1.103,1.100 },
242 {3.904,2.794,2.079,1.710,1.543,1.325,1.202,1.145,
243 1.122,1.096,1.089,1.092,1.098,1.114,1.130,1.137,
244 1.138,1.132,1.122,1.113,1.108,1.102 },
245 {7.970,6.080,4.442,3.398,2.872,2.127,1.672,1.451,
246 1.357,1.246,1.194,1.179,1.178,1.188,1.201,1.205,
247 1.203,1.190,1.173,1.159,1.151,1.145 },
248 {9.714,7.607,5.747,4.493,3.815,2.777,2.079,1.715,
249 1.553,1.353,1.253,1.219,1.211,1.214,1.225,1.228,
250 1.225,1.210,1.191,1.175,1.166,1.174 },
251 {17.97,12.95,8.628,6.065,4.849,3.222,2.275,1.820,
252 1.624,1.382,1.259,1.214,1.202,1.202,1.214,1.219,
253 1.217,1.203,1.184,1.169,1.160,1.151 },
254 {24.83,17.06,10.84,7.355,5.767,3.707,2.546,1.996,
255 1.759,1.465,1.311,1.252,1.234,1.228,1.238,1.241,
256 1.237,1.222,1.201,1.184,1.174,1.159 },
257 {23.26,17.15,11.52,8.049,6.375,4.114,2.792,2.155,
258 1.880,1.535,1.353,1.281,1.258,1.247,1.254,1.256,
259 1.252,1.234,1.212,1.194,1.183,1.170 },
260 {22.33,18.01,12.86,9.212,7.336,4.702,3.117,2.348,
261 2.015,1.602,1.385,1.297,1.268,1.251,1.256,1.258,
262 1.254,1.237,1.214,1.195,1.185,1.179 },
263 {33.91,24.13,15.71,10.80,8.507,5.467,3.692,2.808,
264 2.407,1.873,1.564,1.425,1.374,1.330,1.324,1.320,
265 1.312,1.288,1.258,1.235,1.221,1.205 },
266 {32.14,24.11,16.30,11.40,9.015,5.782,3.868,2.917,
267 2.490,1.925,1.596,1.447,1.391,1.342,1.332,1.327,
268 1.320,1.294,1.264,1.240,1.226,1.214 },
269 {29.51,24.07,17.19,12.28,9.766,6.238,4.112,3.066,
270 2.602,1.995,1.641,1.477,1.414,1.356,1.342,1.336,
271 1.328,1.302,1.270,1.245,1.231,1.233 },
272 {38.19,30.85,21.76,15.35,12.07,7.521,4.812,3.498,
273 2.926,2.188,1.763,1.563,1.484,1.405,1.382,1.371,
274 1.361,1.330,1.294,1.267,1.251,1.239 },
275 {49.71,39.80,27.96,19.63,15.36,9.407,5.863,4.155,
276 3.417,2.478,1.944,1.692,1.589,1.480,1.441,1.423,
277 1.409,1.372,1.330,1.298,1.280,1.258 },
278 {59.25,45.08,30.36,20.83,16.15,9.834,6.166,4.407,
279 3.641,2.648,2.064,1.779,1.661,1.531,1.482,1.459,
280 1.442,1.400,1.354,1.319,1.299,1.272 },
281 {56.38,44.29,30.50,21.18,16.51,10.11,6.354,4.542,
282 3.752,2.724,2.116,1.817,1.692,1.554,1.499,1.474,
283 1.456,1.412,1.364,1.328,1.307,1.282 }};
286 static const G4double Tlim = 10.*MeV;
287 static const G4double beta2lim = Tlim*(Tlim+2.*electron_mass_c2)/
288 ((Tlim+electron_mass_c2)*(Tlim+electron_mass_c2));
289 static const G4double bg2lim = Tlim*(Tlim+2.*electron_mass_c2)/
290 (electron_mass_c2*electron_mass_c2);
292 static const G4double sig0[15] = {
293 0.2672*barn, 0.5922*barn, 2.653*barn, 6.235*barn,
294 11.69*barn , 13.24*barn , 16.12*barn, 23.00*barn ,
295 35.13*barn , 39.95*barn , 50.85*barn, 67.19*barn ,
296 91.15*barn , 104.4*barn , 113.1*barn};
298 static const G4double hecorr[15] = {
299 120.70, 117.50, 105.00, 92.92, 79.23, 74.510, 68.29,
300 57.39, 41.97, 36.14, 24.53, 10.21, -7.855, -16.84,
306 Z23 = G4Pow::GetInstance()->Z23(G4lrint(AtomicNumber));
312 G4double eKineticEnergy = KineticEnergy;
314 if(
mass > electron_mass_c2)
316 G4double TAU = KineticEnergy/
mass ;
317 G4double c =
mass*TAU*(TAU+2.)/(electron_mass_c2*(TAU+1.)) ;
319 G4double tau = 0.5*(w+sqrt(w*w+4.*c)) ;
320 eKineticEnergy = electron_mass_c2*tau ;
323 G4double eTotalEnergy = eKineticEnergy + electron_mass_c2 ;
324 G4double beta2 = eKineticEnergy*(eTotalEnergy+electron_mass_c2)
325 /(eTotalEnergy*eTotalEnergy);
326 G4double bg2 = eKineticEnergy*(eTotalEnergy+electron_mass_c2)
327 /(electron_mass_c2*electron_mass_c2);
329 G4double eps = epsfactor*bg2/
Z23;
331 if (eps<epsmin) sigma = 2.*eps*eps;
332 else if(eps<epsmax) sigma = log(1.+2.*eps)-2.*eps/(1.+2.*eps);
333 else sigma = log(2.*eps)-1.+1./eps;
335 sigma *=
ChargeSquare*AtomicNumber*AtomicNumber/(beta2*bg2);
338 G4double c1,c2,cc1,cc2,corr;
342 while ((iZ>=0)&&(Zdat[iZ]>=AtomicNumber)) iZ -= 1;
346 G4double ZZ1 = Zdat[iZ];
347 G4double ZZ2 = Zdat[iZ+1];
348 G4double ratZ = (AtomicNumber-ZZ1)*(AtomicNumber+ZZ1)/
349 ((ZZ2-ZZ1)*(ZZ2+ZZ1));
351 if(eKineticEnergy <= Tlim)
355 while ((iT>=0)&&(Tdat[iT]>=eKineticEnergy)) iT -= 1;
360 G4double T = Tdat[iT], E = T + electron_mass_c2;
361 G4double b2small = T*(E+electron_mass_c2)/(E*E);
363 T = Tdat[iT+1]; E = T + electron_mass_c2;
364 G4double b2big = T*(E+electron_mass_c2)/(E*E);
365 G4double ratb2 = (beta2-b2small)/(b2big-b2small);
369 c1 = celectron[iZ][iT];
370 c2 = celectron[iZ+1][iT];
371 cc1 = c1+ratZ*(c2-c1);
373 c1 = celectron[iZ][iT+1];
374 c2 = celectron[iZ+1][iT+1];
375 cc2 = c1+ratZ*(c2-c1);
377 corr = cc1+ratb2*(cc2-cc1);
379 sigma *= sigmafactor/corr;
383 c1 = cpositron[iZ][iT];
384 c2 = cpositron[iZ+1][iT];
385 cc1 = c1+ratZ*(c2-c1);
387 c1 = cpositron[iZ][iT+1];
388 c2 = cpositron[iZ+1][iT+1];
389 cc2 = c1+ratZ*(c2-c1);
391 corr = cc1+ratb2*(cc2-cc1);
393 sigma *= sigmafactor/corr;
398 c1 = bg2lim*sig0[iZ]*(1.+hecorr[iZ]*(beta2-beta2lim))/bg2;
399 c2 = bg2lim*sig0[iZ+1]*(1.+hecorr[iZ+1]*(beta2-beta2lim))/bg2;
400 if((AtomicNumber >= ZZ1) && (AtomicNumber <= ZZ2))
401 sigma = c1+ratZ*(c2-c1) ;
402 else if(AtomicNumber < ZZ1)
403 sigma = AtomicNumber*AtomicNumber*c1/(ZZ1*ZZ1);
404 else if(AtomicNumber > ZZ2)
405 sigma = AtomicNumber*AtomicNumber*c2/(ZZ2*ZZ2);
415 SetParticle(track->GetDynamicParticle()->GetDefinition());
427 const G4Track& track,
428 G4double& currentMinimalStep)
431 const G4DynamicParticle* dp = track.GetDynamicParticle();
436 if(strcmp(track.GetParticleDefinition()->GetParticleName().data() ,
"e-") == 0)
437 if(strcmp(track.GetMaterial()->GetName(),
"PBA") == 0){
438 if(track.GetPolarization().getR() >= 0.1)
debugPrint=
true;
439 if(sqrt(pow(track.GetPolarization().getX(),2)+pow(track.GetPolarization().getY(),2))>0.01){
442 eEnergy=track.GetTotalEnergy();
448 G4StepPoint* sp = track.GetStep()->GetPreStepPoint();
449 G4StepStatus stepStatus = sp->GetStepStatus();
450 couple = track.GetMaterialCutsCouple();
460 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
474 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
479 if (steppingAlgorithm == fUseDistanceToBoundary)
488 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
494 if(
firstStep || (stepStatus == fGeomBoundary))
503 rat = 1.e-3/(rat*(10.+rat)) ;
520 if(stepStatus == fGeomBoundary)
544 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
571 G4double temptlimit =
tlimit;
591 else if(steppingAlgorithm == fUseSafety)
607 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
610 if(
firstStep || stepStatus == fGeomBoundary)
625 rat = 1.e-3/(rat*(10.+rat)) ;
639 if(
firstStep || stepStatus == fGeomBoundary)
641 G4double temptlimit =
tlimit;
661 if (stepStatus == fGeomBoundary)
672 return ConvertTrueToGeom(
tPathLength, currentMinimalStep);
707 else zmean =
lambda0*(1.-exp(-tau));
725 G4double lambda1 = GetTransportMeanFreePath(
particle,T1);
738 const G4double ztmax = 0.999 ;
746 G4double cz = 0.5*(3.*zt-1.)/(1.-zt) ;
748 G4double u0 = cz/cz1 ;
751 u = exp(log(G4UniformRand())/cz1) ;
752 grej = exp(cz*log(u/u0))*(1.-u)/(1.-u0) ;
753 }
while (grej < G4UniformRand()) ;
757 u = 2.*zt*G4UniformRand();
785 G4double tlength = geomStepLength;
797 if(tlength < geomStepLength) { tlength = geomStepLength; }
811 G4double KineticEnergy)
816 static const G4double c_highland = 13.6*MeV ;
818 KineticEnergy*(KineticEnergy+2.*
mass)/
821 G4double theta0 = c_highland*std::abs(
charge)*sqrt(
y)/betacp;
837 fDisplacement.set(0.0,0.0,0.0);
851 if(std::fabs(cth) > 1.) {
return fDisplacement; }
879 G4double sth = sqrt((1.0 - cth)*(1.0 + cth));
880 G4double phi = twopi*G4UniformRand();
883 G4double _prob=G4UniformRand();
884 G4double _amplitude=1.0/
eEnergy * sth *
886 if(_amplitude > 1 ) _amplitude=1;
887 if( _prob < _amplitude * sin(phi-pi) )
890 if(phi<0) phi+=twopi;
891 else if(phi>twopi) phi=fmod(phi,twopi);
894 G4double dirx = sth*cos(phi);
895 G4double diry = sth*sin(phi);
897 G4ThreeVector newDirection(dirx,diry,cth);
898 newDirection.rotateUz(oldDirection);
903 G4cout<<
" Urban96 cth, th, phi old.angle(new)" << cth <<
" " << acos(cth) <<
" " << phi <<
" " <<oldDirection.angle(newDirection) << G4endl;
904 G4cout<<
" Urban96: old dir: R th phi "<<oldDirection.getR()<<
" "<<oldDirection.getTheta()<<
" "<<oldDirection.getPhi()<<G4endl;
905 G4cout<<
" Urban96: new dir: R th phi "<<newDirection.getR()<<
" "<<newDirection.getTheta()<<
" "<<newDirection.getPhi()<<G4endl;
927 if(latcorr > r) latcorr = r;
932 if(std::abs(r*sth) < latcorr)
933 Phi = twopi*G4UniformRand();
936 G4double psi = std::acos(latcorr/(r*sth));
937 if(G4UniformRand() < 0.5)
943 dirx = std::cos(Phi);
944 diry = std::sin(Phi);
946 fDisplacement.set(r*dirx,r*diry,0.0);
947 fDisplacement.rotateUz(oldDirection);
950 return fDisplacement;
956 G4double KineticEnergy)
959 G4double tau = trueStepLength/
lambda0;
963 Zeff =
couple->GetMaterial()->GetTotNbOfElectPerVolume()/
964 couple->GetMaterial()->GetTotNbOfAtomsPerVolume() ;
969 G4double lambda1 = GetTransportMeanFreePath(
particle,KineticEnergy);
970 if(std::fabs(lambda1/
lambda0 - 1) > 0.01 && lambda1 > 0.)
980 if (tau >=
taubig) { cth = -1.+2.*G4UniformRand(); }
982 static const G4double numlim = 0.01;
983 G4double xmeanth, x2meanth;
985 xmeanth = 1.0 - tau*(1.0 - 0.5*tau);
986 x2meanth= 1.0 - tau*(5.0 - 6.25*tau)/3.;
989 x2meanth = (1.+2.*exp(-2.5*tau))/3.;
997 G4bool extremesmallstep = false ;
999 G4double theta0 = 0.;
1000 if(trueStepLength > tsmall) {
1003 G4double rate = trueStepLength/tsmall ;
1004 if(G4UniformRand() < rate) {
1006 extremesmallstep = true ;
1013 G4double theta2 = theta0*theta0;
1015 if(theta2 <
tausmall) {
return cth; }
1021 G4double x = theta2*(1.0 - theta2/12.);
1022 if(theta2 > numlim) {
1023 G4double sth = 2*sin(0.5*theta0);
1028 G4double ltau= log(tau);
1029 G4double u = exp(ltau/6.);
1030 if(extremesmallstep) u = exp(log(tsmall/
lambda0)/6.);
1051 if(fabs(c-3.) < 0.001) { c = 3.001; }
1052 else if(fabs(c-2.) < 0.001) { c = 2.001; }
1056 G4double ea = exp(-xsi);
1057 G4double eaa = 1.-ea ;
1058 G4double xmean1 = 1.-(1.-(1.+xsi)*ea)*x/eaa;
1059 G4double x0 = 1. - xsi*x;
1063 if(xmean1 <= 0.999*xmeanth) {
1067 G4double b = 1.+(c-xsi)*x;
1072 G4double eb1 = pow(b1,c1);
1073 G4double ebx = pow(bx,c1);
1074 G4double d = ebx/eb1;
1076 G4double xmean2 = (x0 + d - (bx - b1*d)/(c-2.))/(1. - d);
1078 G4double f1x0 = ea/eaa;
1079 G4double f2x0 = c1/(c*(1. - d));
1080 G4double prob = f2x0/(f1x0+f2x0);
1082 G4double qprob = xmeanth/(prob*xmean1+(1.-prob)*xmean2);
1088 if(G4UniformRand() < qprob)
1091 if(G4UniformRand() < prob) {
1092 cth = 1.+log(ea+G4UniformRand()*eaa)*x;
1094 var = (1.0 - d)*G4UniformRand();
1095 if(var < numlim*d) {
1097 cth = -1.0 + var*(1.0 - 0.5*var*c)*(2. + (c - xsi)*x);
1099 cth = 1. + x*(c - xsi - c*pow(var + d, -1.0/c1));
1103 if(KineticEnergy > 5*GeV && cth < 0.9) {
1104 G4cout <<
"QweakSimUrbanMscModel::SampleCosineTheta: E(GeV)= "
1105 << KineticEnergy/GeV
1106 <<
" 1-cosT= " << 1 - cth
1107 <<
" length(mm)= " << trueStepLength <<
" Zeff= " <<
Zeff
1109 <<
" prob= " << prob <<
" var= " << var << G4endl;
1110 G4cout <<
" c= " << c <<
" qprob= " << qprob <<
" eb1= " << eb1
1112 <<
" c1= " << c1 <<
" b= " << b <<
" b1= " << b1
1113 <<
" bx= " << bx <<
" d= " << d
1114 <<
" ea= " << ea <<
" eaa= " << eaa << G4endl;
1118 cth = -1.+2.*G4UniformRand();
1119 if(KineticEnergy > 5*GeV) {
1120 G4cout <<
"QweakSimUrbanMscModel::SampleCosineTheta: E(GeV)= "
1121 << KineticEnergy/GeV
1122 <<
" length(mm)= " << trueStepLength <<
" Zeff= " <<
Zeff
1123 <<
" qprob= " << qprob << G4endl;
1136 G4double a = (2.*xmeanth+9.*x2meanth-3.)/(2.*xmeanth-3.*x2meanth+1.);
1137 G4double prob = (a+2.)*xmeanth/a;
1141 if(G4UniformRand() < prob)
1142 cth = -1.+2.*exp(log(G4UniformRand())/(a+1.));
1144 cth = -1.+2.*G4UniformRand();
1155 r = rmax*exp(log(G4UniformRand())/3.);
1164 static const G4double kappa = 2.5;
1165 static const G4double kappami1 = kappa-1.;
1167 G4double latcorr = 0.;
1178 latcorr = exp(latcorr)/kappami1;
1179 latcorr += 1.-kappa*etau/kappami1 ;
G4double SampleDisplacement()
G4LossTableManager * theManager
G4double currentRadLength
G4double ComputeCrossSectionPerAtom(const G4ParticleDefinition *particle, G4double KineticEnergy, G4double AtomicNumber, G4double AtomicWeight=0., G4double cut=0., G4double emax=DBL_MAX)
G4double ComputeTheta0(G4double truePathLength, G4double KineticEnergy)
G4int currentMaterialIndex
void SetParticle(const G4ParticleDefinition *)
G4double SimpleScattering(G4double xmeanth, G4double x2meanth)
G4double currentKinEnergy
G4double LatCorrelation()
G4ThreeVector & SampleScattering(const G4ThreeVector &, G4double safety)
G4ParticleChangeForMSC * fParticleChange
G4double ComputeTrueStepLength(G4double geomStepLength)
G4double ComputeTruePathLengthLimit(const G4Track &track, G4double ¤tMinimalStep)
G4ThreeVector polarization
void StartTracking(G4Track *)
void Initialise(const G4ParticleDefinition *, const G4DataVector &)
G4double ComputeGeomPathLength(G4double truePathLength)
QweakSimUrbanMscModel(const G4String &nam="UrbanMsc96")
const G4MaterialCutsCouple * couple
G4double SampleCosineTheta(G4double trueStepLength, G4double KineticEnergy)
virtual ~QweakSimUrbanMscModel()
const G4ParticleDefinition * particle