G4Clebsch.hh

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//
// -------------------------------------------------------------------
//      GEANT4 Class file
//
//
//      File name:     G4Clebsch
//
//      Author:        Maria Grazia Pia (MariaGrazia.Pia@genova.infn.it)
// 
//      Creation date: 15 April 1999
//
//      Modifications: February 2015, Jason Detwiler (jasondet@gmail.com)
//                     - Update variable names to clarify that twice 
//                       the spin value is being used.
//                     - Add function to obtain raw CG coeffients
//                     - Speed up Wigner 3j evaluation by removing 
//                       reallocation of vector<double>'s on every call
//                     - Use G4Pow instead of internal logs variable
//                     - Add functions for Wigner 6j and 9j symbols, 
//                       Racah coefficients, and d-Matrices
//                     - Make functions statically available
//                     - Eliminate unnecessary constructors, destructors,
//                       operators (class has no members, so default versions
//                       are adequate)
//                     11.06.2015 V.Ivanchenko adopted for Geant4 source 
//      
//      Clebsch-Gordan coefficient and related algebra
//
// -------------------------------------------------------------------

#ifndef G4CLEBSCH_HH
#define G4CLEBSCH_HH

#include "globals.hh"
#include <vector>

class G4Clebsch 
{
public:
  // Calculates the standard Clebsch-Gordan coefficient with Condon-Shortley
  // phase convention.
  static 
  G4double ClebschGordanCoeff(G4int twoJ1, G4int twoM1, 
                  G4int twoJ2, G4int twoM2, 
                  G4int twoJ);

  // Calculates the square of the corresponding Clebsch-Gordan coefficient 
  static 
  G4double ClebschGordan(G4int twoJ1, G4int twoM1, 
             G4int twoJ2, G4int twoM2, 
             G4int twoJ);

  static 
  std::vector<G4double> GenerateIso3(G4int twoJ1, G4int twoM1, 
                     G4int twoJ2, G4int twoM2, 
                     G4int twoJOut1, G4int twoJOut2);

  static 
  G4double Weight(G4int twoJ1, G4int twoM1, 
          G4int twoJ2, G4int twoM2, 
          G4int twoJOut1, G4int twoJOut2);

  // Deprecated G4double version of Wigner3J that assumes user sent in half-int
  // values. Use G4int version instead, which guarantees validity of arguments.
  static 
  G4double Wigner3J(G4double j1, G4double j2, G4double j3, 
            G4double m1, G4double m2, G4double m3);
  
  // Wigner's 3J symbols (CG-coeffs with a different phase and normalization)
  static G4double Wigner3J(G4int twoJ1, G4int twoM1, 
                           G4int twoJ2, G4int twoM2, 
                           G4int twoJ3);
  static G4double Wigner3J(G4int twoJ1, G4int twoM1, 
                           G4int twoJ2, G4int twoM2, 
                           G4int twoJ3, G4int twoM3);

  // Calculates the normalized Clebsch-Gordan coefficient, that is the prob 
  // of isospin decomposition of (J,m) into J1, J2, m1, m2
  static 
  G4double NormalizedClebschGordan(G4int twoJ,  G4int twom, 
                   G4int twoJ1, G4int twoJ2,
                   G4int twom1, G4int twom2);
  
  // Triangle coefficient appearing in explicit calculation of CG-coeffs
  static G4double TriangleCoeff(G4int twoA, G4int twoB, G4int twoC);

  // Wigner's 6J symbols (generalization of CG's for coupling of 3 angular momenta). 
  static G4double Wigner6J(G4int twoJ1, G4int twoJ2, G4int twoJ3, 
                   G4int twoJ4, G4int twoJ5, G4int twoJ6);

  // Racah's W Coeffs (6J's with a different phase and normalization)
  static G4double RacahWCoeff(G4int twoJ1,  G4int twoJ2, 
                      G4int twoJ,   G4int twoJ3, 
                      G4int twoJ12, G4int twoJ23);

  // Wigner's 9J symbols (generalization of CG's for coupling of 4 angular momenta). 
  static G4double Wigner9J(G4int twoJ1, G4int twoJ2, G4int twoJ3, 
                   G4int twoJ4, G4int twoJ5, G4int twoJ6,
                   G4int twoJ7, G4int twoJ8, G4int twoJ9);

  // Wigner's little-d matrix
  static G4double WignerLittleD(G4int twoJ, G4int twoM, G4int twoN, 
                G4double cosTheta);
};

#endif