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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