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0001 // 0002 // ******************************************************************** 0003 // * License and Disclaimer * 0004 // * * 0005 // * The Geant4 software is copyright of the Copyright Holders of * 0006 // * the Geant4 Collaboration. It is provided under the terms and * 0007 // * conditions of the Geant4 Software License, included in the file * 0008 // * LICENSE and available at http://cern.ch/geant4/license . These * 0009 // * include a list of copyright holders. * 0010 // * * 0011 // * Neither the authors of this software system, nor their employing * 0012 // * institutes,nor the agencies providing financial support for this * 0013 // * work make any representation or warranty, express or implied, * 0014 // * regarding this software system or assume any liability for its * 0015 // * use. Please see the license in the file LICENSE and URL above * 0016 // * for the full disclaimer and the limitation of liability. * 0017 // * * 0018 // * This code implementation is the result of the scientific and * 0019 // * technical work of the GEANT4 collaboration. * 0020 // * By using, copying, modifying or distributing the software (or * 0021 // * any work based on the software) you agree to acknowledge its * 0022 // * use in resulting scientific publications, and indicate your * 0023 // * acceptance of all terms of the Geant4 Software license. * 0024 // ******************************************************************** 0025 // 0026 // G4MuonDecayChannelWithSpin 0027 // 0028 // Class decription: 0029 // 0030 // This class describes muon decay kinematics. 0031 // It assumes V-A coupling with 1st order radiative corrections, the 0032 // standard model parameter values, but gives incorrect energy spectrum 0033 // for neutrinos. 0034 // References: 0035 // - Florian Scheck "Muon Physics", in Physics Reports 0036 // (Review Section of Physics Letters) 44, No. 4 (1978) 0037 // 187-248. North-Holland Publishing Company, Amsterdam at page 210 cc. 0038 // - W.E. Fisher and F. Scheck, Nucl. Phys. B83 (1974) 25. 0039 0040 // Authors: P.Gumplinger and T.MacPhail, 17 August 2004 0041 // -------------------------------------------------------------------- 0042 #ifndef G4MuonDecayChannelWithSpin_hh 0043 #define G4MuonDecayChannelWithSpin_hh 1 0044 0045 #include "G4MuonDecayChannel.hh" 0046 #include "G4ThreeVector.hh" 0047 #include "globals.hh" 0048 0049 #include <CLHEP/Units/PhysicalConstants.h> 0050 0051 class G4MuonDecayChannelWithSpin : public G4MuonDecayChannel 0052 { 0053 public: 0054 G4MuonDecayChannelWithSpin(const G4String& theParentName, G4double theBR); 0055 ~G4MuonDecayChannelWithSpin() override = default; 0056 0057 G4DecayProducts* DecayIt(G4double) override; 0058 0059 protected: 0060 // Copy constructor and assignment operator 0061 G4MuonDecayChannelWithSpin(const G4MuonDecayChannelWithSpin&) = default; 0062 G4MuonDecayChannelWithSpin& operator=(const G4MuonDecayChannelWithSpin&); 0063 0064 private: 0065 G4MuonDecayChannelWithSpin() = default; 0066 0067 // Radiative Correction Factors 0068 inline G4double F_c(G4double x, G4double x0, G4double omega); 0069 inline G4double F_theta(G4double x, G4double x0, G4double omega); 0070 G4double R_c(G4double x, G4double omega); 0071 }; 0072 0073 // ------------------------ 0074 // Inline methods 0075 // ------------------------ 0076 0077 inline G4double G4MuonDecayChannelWithSpin::F_c(G4double x, G4double x0, G4double omega) 0078 { 0079 G4double f_c; 0080 0081 f_c = (5. + 17. * x - 34. * x * x) * (omega + std::log(x)) - 22. * x + 34. * x * x; 0082 f_c = (1. - x) / (3. * x * x) * f_c; 0083 f_c = (6. - 4. * x) * R_c(x, omega) + (6. - 6. * x) * std::log(x) + f_c; 0084 f_c = (CLHEP::fine_structure_const / CLHEP::twopi) * (x * x - x0 * x0) * f_c; 0085 0086 return f_c; 0087 } 0088 0089 inline G4double G4MuonDecayChannelWithSpin::F_theta(G4double x, G4double x0, G4double omega) 0090 { 0091 G4double f_theta; 0092 0093 f_theta = (1. + x + 34 * x * x) * (omega + std::log(x)) + 3. - 7. * x - 32. * x * x; 0094 f_theta = f_theta + ((4. * (1. - x) * (1. - x)) / x) * std::log(1. - x); 0095 f_theta = (1. - x) / (3. * x * x) * f_theta; 0096 f_theta = (2. - 4. * x) * R_c(x, omega) + (2. - 6. * x) * std::log(x) - f_theta; 0097 f_theta = (CLHEP::fine_structure_const / CLHEP::twopi) * (x * x - x0 * x0) * f_theta; 0098 0099 return f_theta; 0100 } 0101 0102 #endif
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