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geant4/source/processes/hadronic/models/util/include/G4Clebsch.hh
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//
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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