#include <G4BetaDecayCorrections.hh>
Public Member Functions | |
| G4BetaDecayCorrections (G4int Z, G4int A) | |
| ~G4BetaDecayCorrections () | |
| G4double | FermiFunction (const G4double &W) |
| G4double | ShapeFactor (const G4BetaDecayType &, const G4double &p_e, const G4double &e_nu) |
Definition at line 36 of file G4BetaDecayCorrections.hh.
Definition at line 32 of file G4BetaDecayCorrections.cc.
00033 : Z(theZ), A(theA) 00034 { 00035 // alphaZ = fine_structure_const*std::abs(Z); 00036 alphaZ = fine_structure_const*Z; 00037 00038 // Nuclear radius in units of hbar/m_e/c 00039 Rnuc = 0.5*fine_structure_const*std::pow(A, 0.33333); 00040 00041 // Electron screening potential in units of electrom mass 00042 V0 = 1.13*fine_structure_const*fine_structure_const 00043 *std::pow(std::abs(Z), 1.33333); 00044 00045 gamma0 = std::sqrt(1. - alphaZ*alphaZ); 00046 00047 // Coefficients for gamma function with real argument 00048 gc[0] = -0.1010678; 00049 gc[1] = 0.4245549; 00050 gc[2] = -0.6998588; 00051 gc[3] = 0.9512363; 00052 gc[4] = -0.5748646; 00053 gc[5] = 1.0; 00054 }
| G4BetaDecayCorrections::~G4BetaDecayCorrections | ( | ) | [inline] |
Definition at line 57 of file G4BetaDecayCorrections.cc.
References G4INCL::Math::pi.
Referenced by G4RadioactiveDecay::LoadDecayTable().
00058 { 00059 // Calculate the relativistic Fermi function. Argument W is the 00060 // total electron energy in units of electron mass. 00061 00062 G4double Wprime; 00063 if (Z < 0) { 00064 Wprime = W + V0; 00065 } else { 00066 Wprime = W - V0; 00067 // if (Wprime < 1.) Wprime = W; 00068 if (Wprime <= 1.00001) Wprime = 1.00001; 00069 } 00070 00071 G4double p_e = std::sqrt(Wprime*Wprime - 1.); 00072 G4double eta = alphaZ*Wprime/p_e; 00073 G4double epieta = std::exp(pi*eta); 00074 G4double realGamma = Gamma(2.*gamma0+1); 00075 G4double mod2Gamma = ModSquared(gamma0, eta); 00076 00077 // Fermi function 00078 G4double factor1 = 2*(1+gamma0)*mod2Gamma/realGamma/realGamma; 00079 G4double factor2 = epieta*std::pow(2*p_e*Rnuc, 2*(gamma0-1) ); 00080 00081 // Electron screening factor 00082 G4double factor3 = (Wprime/W)*std::sqrt( (Wprime*Wprime - 1.)/(W*W - 1.) ); 00083 00084 return factor1*factor2*factor3; 00085 }
| G4double G4BetaDecayCorrections::ShapeFactor | ( | const G4BetaDecayType & | , | |
| const G4double & | p_e, | |||
| const G4double & | e_nu | |||
| ) |
Definition at line 126 of file G4BetaDecayCorrections.cc.
References allowed, firstForbidden, G4Exception(), JustWarning, uniqueFirstForbidden, uniqueSecondForbidden, and uniqueThirdForbidden.
Referenced by G4RadioactiveDecay::LoadDecayTable().
00128 { 00129 G4double twoPR = 2.*p_e*Rnuc; 00130 G4double factor(1.); 00131 00132 switch (bdt) 00133 { 00134 case (allowed) : 00135 break; 00136 00137 case (firstForbidden) : 00138 { 00139 // Parameters for 1st forbidden shape determined from 210Bi data 00140 // Not valid for other 1st forbidden nuclei 00141 G4double c1 = 0.578; 00142 G4double c2 = 28.466; 00143 G4double c3 = -0.658; 00144 00145 G4double w = std::sqrt(1. + p_e*p_e); 00146 factor = 1. + c1*w + c2/w + c3*w*w; 00147 } 00148 break; 00149 00150 case (uniqueFirstForbidden) : 00151 { 00152 G4double eta = alphaZ*std::sqrt(1. + p_e*p_e)/p_e; 00153 G4double gamma1 = std::sqrt(4. - alphaZ*alphaZ); 00154 G4double gamterm1 = Gamma(2.*gamma0+1.)/Gamma(2.*gamma1+1.); 00155 G4double term1 = e_nu*e_nu*(1. + gamma0)/6.; 00156 G4double term2 = 12.*(2. + gamma1)*p_e*p_e 00157 *std::pow(twoPR, 2.*(gamma1-gamma0-1) ) 00158 *gamterm1*gamterm1 00159 *ModSquared(gamma1, eta)/ModSquared(gamma0, eta); 00160 factor = term1 + term2; 00161 } 00162 break; 00163 00164 case (uniqueSecondForbidden) : 00165 { 00166 G4double eta = alphaZ*std::sqrt(1. + p_e*p_e)/p_e; 00167 G4double gamma1 = std::sqrt(4. - alphaZ*alphaZ); 00168 G4double gamma2 = std::sqrt(9. - alphaZ*alphaZ); 00169 G4double gamterm0 = Gamma(2.*gamma0+1.); 00170 G4double gamterm1 = gamterm0/Gamma(2.*gamma1+1.); 00171 G4double gamterm2 = gamterm0/Gamma(2.*gamma2+1.); 00172 G4double term1 = e_nu*e_nu*e_nu*e_nu*(1. + gamma0)/60.; 00173 00174 G4double term2 = 4.*(2. + gamma1)*e_nu*e_nu*p_e*p_e 00175 *std::pow(twoPR, 2.*(gamma1-gamma0-1.) ) 00176 *gamterm1*gamterm1 00177 *ModSquared(gamma1, eta)/ModSquared(gamma0, eta); 00178 00179 G4double term3 = 180.*(3.+gamma2)*p_e*p_e*p_e*p_e 00180 *std::pow(twoPR, 2.*(gamma2-gamma0-2) ) 00181 *gamterm2*gamterm2 00182 *ModSquared(gamma2, eta)/ModSquared(gamma0, eta); 00183 00184 factor = term1 + term2 + term3; 00185 } 00186 break; 00187 00188 case (uniqueThirdForbidden) : 00189 { 00190 G4double eta = alphaZ*std::sqrt(1. + p_e*p_e)/p_e; 00191 G4double gamma1 = std::sqrt(4. - alphaZ*alphaZ); 00192 G4double gamma2 = std::sqrt(9. - alphaZ*alphaZ); 00193 G4double gamma3 = std::sqrt(16. - alphaZ*alphaZ); 00194 G4double gamterm0 = Gamma(2.*gamma0+1.); 00195 G4double gamterm1 = gamterm0/Gamma(2.*gamma1+1.); 00196 G4double gamterm2 = gamterm0/Gamma(2.*gamma2+1.); 00197 G4double gamterm3 = gamterm0/Gamma(2.*gamma3+1.); 00198 00199 G4double term1 = e_nu*e_nu*e_nu*e_nu*e_nu*e_nu*(1. + gamma0)/1260.; 00200 00201 G4double term2 = 2.*(2. + gamma1)*e_nu*e_nu*e_nu*e_nu*p_e*p_e 00202 *std::pow(twoPR, 2.*(gamma1-gamma0-1.) ) 00203 *gamterm1*gamterm1 00204 *ModSquared(gamma1, eta)/ModSquared(gamma0, eta)/5.; 00205 00206 G4double term3 = 60.*(3.+gamma2)*p_e*p_e*p_e*p_e*e_nu*e_nu 00207 *std::pow(twoPR, 2.*(gamma2-gamma0-2.) ) 00208 *gamterm2*gamterm2 00209 *ModSquared(gamma2, eta)/ModSquared(gamma0, eta); 00210 00211 G4double term4 = 2240.*p_e*p_e*p_e*p_e*p_e*p_e*(4. + gamma3) 00212 *std::pow(twoPR, 2.*(gamma3-gamma0-3.) ) 00213 *gamterm3*gamterm3 00214 *ModSquared(gamma3, eta)/ModSquared(gamma0, eta); 00215 00216 factor = term1 + term2 + term3 + term4; 00217 } 00218 break; 00219 00220 default: 00221 G4Exception("G4BetaDecayCorrections::ShapeFactor()","HAD_RDM_010", 00222 JustWarning, 00223 "Transition not yet implemented - using allowed shape"); 00224 break; 00225 } 00226 return factor; 00227 }
1.4.7