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Grichine - first implementation // #include "G4GGNuclNuclCrossSection.hh" #include "G4ParticleTable.hh" #include "G4IonTable.hh" #include "G4ParticleDefinition.hh" //////////////////////////////////////////////////////////////////////////////// // // G4GGNuclNuclCrossSection::G4GGNuclNuclCrossSection() : fUpperLimit( 100000 * GeV ), fLowerLimit( 0.1 * GeV ), fRadiusConst( 1.08*fermi ) // 1.1, 1.3 ? { theProton = G4Proton::Proton(); theNeutron = G4Neutron::Neutron(); } /////////////////////////////////////////////////////////////////////////////////////// // // G4GGNuclNuclCrossSection::~G4GGNuclNuclCrossSection() { } //////////////////////////////////////////////////////////////////////////////////////// // // G4bool G4GGNuclNuclCrossSection::IsApplicable(const G4DynamicParticle* aDP, const G4Element* anElement) { return IsZAApplicable(aDP, anElement->GetZ(), anElement->GetN()); } //////////////////////////////////////////////////////////////////////////////////////// // // G4bool G4GGNuclNuclCrossSection::IsZAApplicable(const G4DynamicParticle* aDP, G4double Z, G4double) { G4bool applicable = false; // G4int baryonNumber = aDP->GetDefinition()->GetBaryonNumber(); G4double kineticEnergy = aDP->GetKineticEnergy(); // const G4ParticleDefinition* theParticle = aDP->GetDefinition(); if ( kineticEnergy >= fLowerLimit && Z > 1.5 ) applicable = true; return applicable; } //////////////////////////////////////////////////////////////////////////////////////// // // Calculates total and inelastic Xsc, derives elastic as total - inelastic accordong to // Glauber model with Gribov correction calculated in the dipole approximation on // light cone. Gaussian density helps to calculate rest integrals of the model. // [1] B.Z. Kopeliovich, nucl-th/0306044 G4double G4GGNuclNuclCrossSection:: GetCrossSection(const G4DynamicParticle* aParticle, const G4Element* anElement, G4double T) { return GetIsoZACrossSection(aParticle, anElement->GetZ(), anElement->GetN(), T); } //////////////////////////////////////////////////////////////////////////////////////// // // Calculates total and inelastic Xsc, derives elastic as total - inelastic accordong to // Glauber model with Gribov correction calculated in the dipole approximation on // light cone. Gaussian density of point-like nucleons helps to calculate rest integrals of the model. // [1] B.Z. Kopeliovich, nucl-th/0306044 + simplification above G4double G4GGNuclNuclCrossSection:: GetIsoZACrossSection(const G4DynamicParticle* aParticle, G4double tZ, G4double tA, G4double) { G4double xsection, sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio; G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); G4double pTkin = aParticle->GetKineticEnergy(); pTkin /= pA; G4double pN = pA - pZ; if( pN < 0. ) pN = 0.; G4double tN = tA - tZ; if( tN < 0. ) tN = 0.; G4double tR = GetNucleusRadius(tA); G4double pR = GetNucleusRadius(pA); sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR ratio = sigma/nucleusSquare; xsection = nucleusSquare*std::log( 1. + ratio ); fTotalXsc = xsection; fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; fElasticXsc = fTotalXsc - fInelasticXsc; G4double difratio = ratio/(1.+ratio); fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) ); // production to be checked !!! edit MK xsc sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscMK(theProton, pTkin, theProton) + (pZ*tN+pN*tZ)*GetHadronNucleonXscMK(theProton, pTkin, theNeutron); ratio = sigma/nucleusSquare; fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; if (fElasticXsc < 0.) fElasticXsc = 0.; return xsection; } ////////////////////////////////////////////////////////////////////////// // // Return single-diffraction/inelastic cross-section ratio G4double G4GGNuclNuclCrossSection:: GetRatioSD(const G4DynamicParticle* aParticle, G4double tA, G4double tZ) { G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio; G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); G4double pTkin = aParticle->GetKineticEnergy(); pTkin /= pA; G4double pN = pA - pZ; if( pN < 0. ) pN = 0.; G4double tN = tA - tZ; if( tN < 0. ) tN = 0.; G4double tR = GetNucleusRadius(tA); G4double pR = GetNucleusRadius(pA); sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR ratio = sigma/nucleusSquare; fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; G4double difratio = ratio/(1.+ratio); fDiffractionXsc = 0.5*nucleusSquare*( difratio - std::log( 1. + difratio ) ); if (fInelasticXsc > 0.) ratio = fDiffractionXsc/fInelasticXsc; else ratio = 0.; return ratio; } ////////////////////////////////////////////////////////////////////////// // // Return suasi-elastic/inelastic cross-section ratio G4double G4GGNuclNuclCrossSection:: GetRatioQE(const G4DynamicParticle* aParticle, G4double tA, G4double tZ) { G4double sigma, cofInelastic = 2.4, cofTotal = 2.0, nucleusSquare, ratio; G4double pZ = aParticle->GetDefinition()->GetPDGCharge(); G4double pA = aParticle->GetDefinition()->GetBaryonNumber(); G4double pTkin = aParticle->GetKineticEnergy(); pTkin /= pA; G4double pN = pA - pZ; if( pN < 0. ) pN = 0.; G4double tN = tA - tZ; if( tN < 0. ) tN = 0.; G4double tR = GetNucleusRadius(tA); G4double pR = GetNucleusRadius(pA); sigma = (pZ*tZ+pN*tN)*GetHadronNucleonXscNS(theProton, pTkin, theProton) + (pZ*tN+pN*tZ)*GetHadronNucleonXscNS(theProton, pTkin, theNeutron); nucleusSquare = cofTotal*pi*( pR*pR + tR*tR ); // basically 2piRR ratio = sigma/nucleusSquare; fInelasticXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; // sigma = GetHNinelasticXsc(aParticle, tA, tZ); ratio = sigma/nucleusSquare; fProductionXsc = nucleusSquare*std::log( 1. + cofInelastic*ratio )/cofInelastic; if (fInelasticXsc > fProductionXsc) ratio = (fInelasticXsc-fProductionXsc)/fInelasticXsc; else ratio = 0.; if ( ratio < 0. ) ratio = 0.; return ratio; } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon Xsc according to differnt parametrisations: // [2] E. Levin, hep-ph/9710546 // [3] U. Dersch, et al, hep-ex/9910052 // [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725 G4double G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle, const G4Element* anElement ) { G4double At = anElement->GetN(); // number of nucleons G4double Zt = anElement->GetZ(); // number of protons return GetHadronNucleonXsc( aParticle, At, Zt ); } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon Xsc according to differnt parametrisations: // [2] E. Levin, hep-ph/9710546 // [3] U. Dersch, et al, hep-ex/9910052 // [4] M.J. Longo, et al, Phys.Rev.Lett. 33 (1974) 725 G4double G4GGNuclNuclCrossSection::GetHadronNucleonXsc(const G4DynamicParticle* aParticle, G4double At, G4double Zt ) { G4double xsection = 0.; G4double targ_mass = G4ParticleTable::GetParticleTable()-> GetIonTable()->GetIonMass( G4int(Zt+0.5) , G4int(At+0.5) ); targ_mass = 0.939*GeV; // ~mean neutron and proton ??? G4double proj_mass = aParticle->GetMass(); G4double proj_momentum = aParticle->GetMomentum().mag(); G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); sMand /= GeV*GeV; // in GeV for parametrisation proj_momentum /= GeV; const G4ParticleDefinition* pParticle = aParticle->GetDefinition(); if(pParticle == theNeutron) // as proton ??? { xsection = At*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525)); } else if(pParticle == theProton) { xsection = At*(21.70*std::pow(sMand,0.0808) + 56.08*std::pow(sMand,-0.4525)); // xsection = At*( 49.51*std::pow(sMand,-0.097) + 0.314*std::log(sMand)*std::log(sMand) ); // xsection = At*( 38.4 + 0.85*std::abs(std::pow(log(sMand),1.47)) ); } xsection *= millibarn; return xsection; } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon Xsc according to PDG parametrisation (2005): // http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf G4double G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle, const G4Element* anElement ) { G4double At = anElement->GetN(); // number of nucleons G4double Zt = anElement->GetZ(); // number of protons return GetHadronNucleonXscPDG( aParticle, At, Zt ); } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon Xsc according to PDG parametrisation (2005): // http://pdg.lbl.gov/2006/reviews/hadronicrpp.pdf // At = number of nucleons, Zt = number of protons G4double G4GGNuclNuclCrossSection::GetHadronNucleonXscPDG(const G4DynamicParticle* aParticle, G4double At, G4double Zt ) { G4double xsection = 0.; G4double Nt = At-Zt; // number of neutrons if (Nt < 0.) Nt = 0.; G4double targ_mass = G4ParticleTable::GetParticleTable()-> GetIonTable()->GetIonMass( G4int(Zt+0.5) , G4int(At+0.5) ); targ_mass = 0.939*GeV; // ~mean neutron and proton ??? G4double proj_mass = aParticle->GetMass(); G4double proj_momentum = aParticle->GetMomentum().mag(); G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); sMand /= GeV*GeV; // in GeV for parametrisation // General PDG fit constants G4double s0 = 5.38*5.38; // in Gev^2 G4double eta1 = 0.458; G4double eta2 = 0.458; G4double B = 0.308; const G4ParticleDefinition* pParticle = aParticle->GetDefinition(); if(pParticle == theNeutron) // proton-neutron fit { xsection = Zt*( 35.80 + B*std::pow(std::log(sMand/s0),2.) + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2)); xsection += Nt*( 35.45 + B*std::pow(std::log(sMand/s0),2.) + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); // pp for nn } else if(pParticle == theProton) { xsection = Zt*( 35.45 + B*std::pow(std::log(sMand/s0),2.) + 42.53*std::pow(sMand,-eta1) - 33.34*std::pow(sMand,-eta2)); xsection += Nt*( 35.80 + B*std::pow(std::log(sMand/s0),2.) + 40.15*std::pow(sMand,-eta1) - 30.*std::pow(sMand,-eta2)); } xsection *= millibarn; // parametrised in mb return xsection; } ///////////////////////////////////////////////////////////////////////////////////// // // Returns nucleon-nucleon cross-section based on N. Starkov parametrisation of // data from mainly http://wwwppds.ihep.su:8001/c5-6A.html database // projectile nucleon is pParticle with pTkin shooting target nucleon tParticle G4double G4GGNuclNuclCrossSection::GetHadronNucleonXscNS( G4ParticleDefinition* pParticle, G4double pTkin, G4ParticleDefinition* tParticle) { G4double xsection(0), Delta, A0, B0; G4double hpXsc(0); G4double hnXsc(0); G4double targ_mass = tParticle->GetPDGMass(); G4double proj_mass = pParticle->GetPDGMass(); G4double proj_energy = proj_mass + pTkin; G4double proj_momentum = std::sqrt(pTkin*(pTkin+2*proj_mass)); G4double sMand = CalcMandelstamS ( proj_mass , targ_mass , proj_momentum ); sMand /= GeV*GeV; // in GeV for parametrisation proj_momentum /= GeV; proj_energy /= GeV; proj_mass /= GeV; // General PDG fit constants // G4double s0 = 5.38*5.38; // in Gev^2 // G4double eta1 = 0.458; // G4double eta2 = 0.458; // G4double B = 0.308; if( proj_momentum >= 10. ) // high energy: pp = nn = np // if( proj_momentum >= 2.) { Delta = 1.; if( proj_energy < 40. ) Delta = 0.916+0.0021*proj_energy; if( proj_momentum >= 10.) { B0 = 7.5; A0 = 100. - B0*std::log(3.0e7); xsection = A0 + B0*std::log(proj_energy) - 11 + 103*std::pow(2*0.93827*proj_energy + proj_mass*proj_mass+ 0.93827*0.93827,-0.165); // mb } } else // low energy pp = nn != np { if(pParticle == tParticle) // pp or nn // nn to be pp { if( proj_momentum < 0.73 ) { hnXsc = 23 + 50*( std::pow( std::log(0.73/proj_momentum), 3.5 ) ); } else if( proj_momentum < 1.05 ) { hnXsc = 23 + 40*(std::log(proj_momentum/0.73))* (std::log(proj_momentum/0.73)); } else // if( proj_momentum < 10. ) { hnXsc = 39.0 + 75*(proj_momentum - 1.2)/(std::pow(proj_momentum,3.0) + 0.15); } xsection = hnXsc; } else // pn to be np { if( proj_momentum < 0.8 ) { hpXsc = 33+30*std::pow(std::log(proj_momentum/1.3),4.0); } else if( proj_momentum < 1.4 ) { hpXsc = 33+30*std::pow(std::log(proj_momentum/0.95),2.0); } else // if( proj_momentum < 10. ) { hpXsc = 33.3+ 20.8*(std::pow(proj_momentum,2.0)-1.35)/ (std::pow(proj_momentum,2.50)+0.95); } xsection = hpXsc; } } xsection *= millibarn; // parametrised in mb return xsection; } /* ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon inelastic cross-section based on proper parametrisation G4double G4GGNuclNuclCrossSection::GetHNinelasticXsc(const G4DynamicParticle* aParticle, const G4Element* anElement ) { G4double At = anElement->GetN(); // number of nucleons G4double Zt = anElement->GetZ(); // number of protons return GetHNinelasticXsc( aParticle, At, Zt ); } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation G4double G4GGNuclNuclCrossSection::GetHNinelasticXsc(const G4DynamicParticle* aParticle, G4double At, G4double Zt ) { // G4ParticleDefinition* hadron = aParticle->GetDefinition(); G4double sumInelastic, Nt = At - Zt; if(Nt < 0.) Nt = 0.; sumInelastic = Zt*GetHadronNucleonXscMK(aParticle, theProton); sumInelastic += Nt*GetHadronNucleonXscMK(aParticle, theNeutron); return sumInelastic; } */ ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon inelastic cross-section based on FTF-parametrisation G4double G4GGNuclNuclCrossSection::GetHNinelasticXscVU(const G4DynamicParticle* aParticle, G4double At, G4double Zt ) { G4int PDGcode = aParticle->GetDefinition()->GetPDGEncoding(); G4int absPDGcode = std::abs(PDGcode); G4double Elab = aParticle->GetTotalEnergy(); // (s - 2*0.88*GeV*GeV)/(2*0.939*GeV)/GeV; G4double Plab = aParticle->GetMomentum().mag(); // std::sqrt(Elab * Elab - 0.88); Elab /= GeV; Plab /= GeV; G4double LogPlab = std::log( Plab ); G4double sqrLogPlab = LogPlab * LogPlab; //G4cout<<"Plab = "< 1000 ) //------Projectile is baryon -------- { G4double XtotPP = 48.0 + 0. *std::pow(Plab, 0. ) + 0.522*sqrLogPlab - 4.51*LogPlab; G4double XtotPN = 47.3 + 0. *std::pow(Plab, 0. ) + 0.513*sqrLogPlab - 4.27*LogPlab; G4double XelPP = 11.9 + 26.9*std::pow(Plab,-1.21) + 0.169*sqrLogPlab - 1.85*LogPlab; G4double XelPN = 11.9 + 26.9*std::pow(Plab,-1.21) + 0.169*sqrLogPlab - 1.85*LogPlab; Xtotal = ( NumberOfTargetProtons * XtotPP + NumberOfTargetNeutrons * XtotPN ); Xelastic = ( NumberOfTargetProtons * XelPP + NumberOfTargetNeutrons * XelPN ); } Xinelastic = Xtotal - Xelastic; if(Xinelastic < 0.) Xinelastic = 0.; return Xinelastic*= millibarn; } ///////////////////////////////////////////////////////////////////////////////////// // // Returns hadron-nucleon cross-section based on Mikhail Kossov CHIPS parametrisation of // data from G4QuasiFreeRatios class G4double G4GGNuclNuclCrossSection::GetHadronNucleonXscMK(G4ParticleDefinition* pParticle, G4double pTkin, G4ParticleDefinition* nucleon ) { G4int I = -1; G4int PDG = pParticle->GetPDGEncoding(); G4double totalXsc = 0; G4double elasticXsc = 0; G4double inelasticXsc; // G4int absPDG = std::abs(PDG); G4double pM = pParticle->GetPDGMass(); G4double p = std::sqrt(pTkin*(pTkin+2*pM))/GeV; G4bool F = false; if(nucleon == theProton) F = true; else if(nucleon == theNeutron) F = false; else { G4cout << "nucleon is not proton or neutron, return xsc for proton" << G4endl; F = true; } G4bool kfl = true; // Flag of K0/aK0 oscillation G4bool kf = false; if( PDG == 130 || PDG == 310 ) { kf = true; if( G4UniformRand() > .5 ) kfl = false; } if ( (PDG == 2212 && F) || (PDG == 2112 && !F) ) I = 0; // pp/nn else if( (PDG == 2112 && F) || (PDG == 2212 && !F) ) I = 1; // np/pn else { G4cout<<"MK PDG = "<pma) { G4double lp = std::log(p)-lmi; G4double lp2 = lp*lp; elasticXsc = pbe*lp2 + 6.72; totalXsc = pbt*lp2 + 38.2; } else { G4double p2 = p*p; G4double LE = 1./( .00012 + p2*.2); G4double lp = std::log(p) - lmi; G4double lp2 = lp*lp; G4double rp2 = 1./p2; elasticXsc = LE + ( pbe*lp2 + 6.72+32.6/p)/( 1. + rp2/p); totalXsc = LE + ( pbt*lp2 + 38.2+52.7*rp2)/( 1. + 2.72*rp2*rp2); } } else if( I==1 ) // np/pn { if( p < pmi ) { G4double p2 = p*p; elasticXsc = 1./( .00012 + p2*( .051 + .1*p2)); totalXsc = elasticXsc; } else if( p > pma ) { G4double lp = std::log(p) - lmi; G4double lp2 = lp*lp; elasticXsc = pbe*lp2 + 6.72; totalXsc = pbt*lp2 + 38.2; } else { G4double p2 = p*p; G4double LE = 1./( .00012 + p2*( .051 + .1*p2 ) ); G4double lp = std::log(p) - lmi; G4double lp2 = lp*lp; G4double rp2 = 1./p2; elasticXsc = LE + (pbe*lp2 + 6.72 + 30./p)/( 1. + .49*rp2/p); totalXsc = LE + (pbt*lp2 + 38.2)/( 1. + .54*rp2*rp2); } } else { G4cout<<"PDG incoding = "< totalXsc ) elasticXsc = totalXsc; totalXsc *= millibarn; elasticXsc *= millibarn; inelasticXsc = totalXsc - elasticXsc; if (inelasticXsc < 0.) inelasticXsc = 0.; return inelasticXsc; } //////////////////////////////////////////////////////////////////////////////////// // // G4double G4GGNuclNuclCrossSection::GetNucleusRadius( const G4DynamicParticle* , const G4Element* anElement) { G4double At = anElement->GetN(); G4double oneThird = 1.0/3.0; G4double cubicrAt = std::pow (At, oneThird); G4double R; // = fRadiusConst*cubicrAt; /* G4double tmp = std::pow( cubicrAt-1., 3.); tmp += At; tmp *= 0.5; if (At > 20.) // 20. { R = fRadiusConst*std::pow (tmp, oneThird); } else { R = fRadiusConst*cubicrAt; } */ R = fRadiusConst*cubicrAt; // return R; // !!!! G4double meanA = 21.; G4double tauA1 = 40.; G4double tauA2 = 10.; G4double tauA3 = 5.; G4double a1 = 0.85; G4double b1 = 1. - a1; G4double b2 = 0.3; G4double b3 = 4.; if (At > 20.) // 20. { R *= ( a1 + b1*std::exp( -(At - meanA)/tauA1) ); } else if (At > 3.5) { R *= ( 1.0 + b2*( 1. - std::exp( (At - meanA)/tauA2) ) ); } else { R *= ( 1.0 + b3*( 1. - std::exp( (At - meanA)/tauA3) ) ); } return R; } //////////////////////////////////////////////////////////////////////////////////// // // G4double G4GGNuclNuclCrossSection::GetNucleusRadius(G4double At) { G4double R; // R = GetNucleusRadiusGG(At); R = GetNucleusRadiusDE(At); return R; } /////////////////////////////////////////////////////////////////// G4double G4GGNuclNuclCrossSection::GetNucleusRadiusGG(G4double At) { G4double oneThird = 1.0/3.0; G4double cubicrAt = std::pow (At, oneThird); G4double R; // = fRadiusConst*cubicrAt; /* G4double tmp = std::pow( cubicrAt-1., 3.); tmp += At; tmp *= 0.5; if (At > 20.) { R = fRadiusConst*std::pow (tmp, oneThird); } else { R = fRadiusConst*cubicrAt; } */ R = fRadiusConst*cubicrAt; G4double meanA = 20.; G4double tauA = 20.; if ( At > 20.) // 20. { R *= ( 0.8 + 0.2*std::exp( -(At - meanA)/tauA) ); } else { R *= ( 1.0 + 0.1*( 1. - std::exp( (At - meanA)/tauA) ) ); } return R; } G4double G4GGNuclNuclCrossSection::GetNucleusRadiusDE(G4double A) { // algorithm from diffuse-elastic G4double R, r0, a11, a12, a13, a2, a3; a11 = 1.26; // 1.08, 1.16 a12 = 1.; // 1.08, 1.16 a13 = 1.12; // 1.08, 1.16 a2 = 1.1; a3 = 1.; if( A < 50. ) { if( 10 < A && A <= 15. ) r0 = a11*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi; else if( 15 < A && A <= 20 ) r0 = a12*( 1 - std::pow(A, -2./3.) )*fermi; else if( 20 < A && A <= 30 ) r0 = a13*( 1 - std::pow(A, -2./3.) )*fermi; else r0 = a2*fermi; R = r0*std::pow( A, 1./3. ); } else { r0 = a3*fermi; R = r0*std::pow(A, 0.27); } return R; } //////////////////////////////////////////////////////////////////////////////////// // // G4double G4GGNuclNuclCrossSection::CalculateEcmValue( const G4double mp , const G4double mt , const G4double Plab ) { G4double Elab = std::sqrt ( mp * mp + Plab * Plab ); G4double Ecm = std::sqrt ( mp * mp + mt * mt + 2 * Elab * mt ); // G4double Pcm = Plab * mt / Ecm; // G4double KEcm = std::sqrt ( Pcm * Pcm + mp * mp ) - mp; return Ecm ; // KEcm; } //////////////////////////////////////////////////////////////////////////////////// // // G4double G4GGNuclNuclCrossSection::CalcMandelstamS( const G4double mp , const G4double mt , const G4double Plab ) { G4double Elab = std::sqrt ( mp * mp + Plab * Plab ); G4double sMand = mp*mp + mt*mt + 2*Elab*mt ; return sMand; } // // ///////////////////////////////////////////////////////////////////////////////////////