| 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| 26 | //
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| 27 | #include "globals.hh"
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| 28 | #include "G4BetaFermiFunction.hh"
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| 29 |
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| 30 | const G4double G4BetaFermiFunction::PI=3.14159;
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| 31 |
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| 32 | //////////////////////////////////////////////////////////////////
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| 33 | //
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| 34 | // calculate the Fermi Function foe energy E0
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| 35 | //
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| 36 | G4double G4BetaFermiFunction::GetFF( const G4double E0)
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| 37 | {
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| 38 | G4double A1, A2;
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| 39 | G4double P, U, S, Y;
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| 40 | G4double F2;
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| 41 | G4double E = E0+1.;
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| 42 | P=std::sqrt(E*E-1.0) ;
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| 43 | U=Z/137.0;
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| 44 | S=std::sqrt(1.0-U*U) - 1.;
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| 45 | Y = 2*PI*U*E/P;
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| 46 | A1 = U*U*E*E + P*P/4.;
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| 47 | A2 = std::fabs(Y/(1-std::exp(-Y)));
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| 48 | F2 = std::pow(A1,S) * A2;
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| 49 | return F2;
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| 50 | }
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| 51 |
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| 52 | //////////////////////////////////////////////////////////////////
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| 53 | //
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| 54 | // calculate the Fermi normalization factor
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| 55 | // here E0 is the end point energy of the beta decay
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| 56 | //
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| 57 | G4double G4BetaFermiFunction::GetFFN(const G4double E0)
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| 58 | {
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| 59 |
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| 60 | G4double A1, A2;
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| 61 | G4double P, U, S, Y;
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| 62 | G4double F2,E;
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| 63 | G4double EE = E0/100.;
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| 64 | U=Z/137.0;
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| 65 | S=std::sqrt(1.0-U*U) - 1.;
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| 66 | G4double F1 = 1E-10;
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| 67 | for (G4int i = 1; i<=100 ; i++) {
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| 68 | E = G4double(i)*EE + 1.;
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| 69 | P=std::sqrt(E*E-1.0) ;
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| 70 | Y = 2*PI*U*E/P;
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| 71 | A1 = U*U*E*E + P*P/4.;
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| 72 | A2 = std::fabs(Y/(1-std::exp(-Y)));
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| 73 | F2 = std::pow(A1,S) * A2;
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| 74 | if (F2 > F1) F1 = F2;
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| 75 | }
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| 76 | return F1;
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| 77 | }
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