+++ /dev/null
-#include "EvtGenBase/EvtPatches.hh"
-/*****************************************************************************
- * Project: BaBar detector at the SLAC PEP-II B-factory
- * Package: EvtGenBase
- * File: $Id: EvtDalitzReso.cpp,v 1.1 2009-03-16 16:47:51 robbep Exp $
- *
- * Description:
- * Class to compute Dalitz amplitudes based on many models that cannot be
- * handled with EvtResonance.
- *
- * Modification history:
- * Jordi Garra Ticó 2008/07/03 File created
- *****************************************************************************/
-
-
-#include <assert.h>
-#include <cmath>
-#include <iostream>
-
-#include <stdlib.h>
-#include "EvtGenBase/EvtParticle.hh"
-#include "EvtGenBase/EvtGenKine.hh"
-#include "EvtGenBase/EvtPDL.hh"
-#include "EvtGenBase/EvtReport.hh"
-#include "EvtGenBase/EvtMatrix.hh"
-#include "EvtGenBase/EvtDalitzReso.hh"
-
-#include "EvtGenBase/EvtdFunction.hh"
-#include "EvtGenBase/EvtCyclic3.hh"
-
-#define PRECISION ( 1.e-3 )
-
-using EvtCyclic3::Index;
-using EvtCyclic3::Pair;
-
-
-// single Breit-Wigner
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
- EvtSpinType::spintype spin, double m0, double g0, NumType typeN, double f_b, double f_d)
- : _dp(dp),
- _pairAng(pairAng),
- _pairRes(pairRes),
- _spin(spin),
- _typeN(typeN),
- _m0(m0),_g0(g0),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
- _g1(-1.),_g2(-1.),_coupling2(Undefined),
- _f_b(f_b), _f_d(f_d),
- _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
- _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.),_cutoff(-1.), _scaleByMOverQ(false),
- _alpha(0.)
-{
- _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
- _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
- _vb.set_f( _f_b ); // Default values for Blatt-Weisskopf factors are 0.0 and 1.5.
- _vd.set_f( _f_d );
- assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II); // single BW cannot be K-matrix
-}
-
-
-// Breit-Wigner with electromagnetic mass mixing
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
- EvtSpinType::spintype spin, double m0, double g0, NumType typeN,
- double m0_mix, double g0_mix, double delta_mix, EvtComplex amp_mix)
- : _dp(dp),
- _pairAng(pairAng),
- _pairRes(pairRes),
- _spin(spin),
- _typeN(typeN),
- _m0(m0),_g0(g0),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(m0_mix),_g0_mix(g0_mix),_delta_mix(delta_mix),_amp_mix(amp_mix),
- _g1(-1.),_g2(-1.),_coupling2(Undefined),
- _f_b(0.0), _f_d(1.5),
- _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
- _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.),_cutoff(-1.), _scaleByMOverQ(false),
- _alpha(0.)
-{
- _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
- _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
- _vb.set_f( 0.0 ); // Default values for Blatt-Weisskopf factors.
- _vd.set_f( 1.5 );
- // single BW (with electromagnetic mixing) cannot be K-matrix
- assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II);
-}
-
-// coupled Breit-Wigner
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
- EvtSpinType::spintype spin, double m0, NumType typeN, double g1, double g2, CouplingType coupling2)
- : _dp(dp),
- _pairAng(pairAng),
- _pairRes(pairRes),
- _spin(spin),
- _typeN(typeN),
- _m0(m0),_g0(-1.),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
- _g1(g1),_g2(g2),_coupling2(coupling2),
- _f_b(0.0), _f_d(1.5),
- _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
- _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.),_cutoff(-1.), _scaleByMOverQ(false),
- _alpha(0.)
-{
- _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
- _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
- _vb.set_f( 0.0 ); // Default values for Blatt-Weisskopf factors.
- _vd.set_f( 1.5 );
- assert(_coupling2 != Undefined);
- assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II); // coupled BW cannot be K-matrix
- assert(_typeN != LASS); // coupled BW cannot be LASS
- assert(_typeN != NBW); // for coupled BW, only relativistic BW
-}
-
-
-// K-Matrix (A&S)
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairRes, std::string nameIndex, NumType typeN,
- EvtComplex fr12prod, EvtComplex fr13prod, EvtComplex fr14prod, EvtComplex fr15prod, double s0prod)
- : _dp(dp),
- _pairRes(pairRes),
- _typeN(typeN),
- _m0(0.),_g0(0.),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
- _g1(-1.),_g2(-1.),_coupling2(Undefined),
- _f_b(0.), _f_d(0.),
- _kmatrix_index(-1),_fr12prod(fr12prod),_fr13prod(fr13prod),_fr14prod(fr14prod),_fr15prod(fr15prod),_s0prod(s0prod),
- _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.),_cutoff(-1.), _scaleByMOverQ(false),
- _alpha(0.)
-{
- assert(_typeN==K_MATRIX || _typeN==K_MATRIX_I || _typeN==K_MATRIX_II);
- _spin=EvtSpinType::SCALAR;
- if (nameIndex=="Pole1") _kmatrix_index=1;
- else if (nameIndex=="Pole2") _kmatrix_index=2;
- else if (nameIndex=="Pole3") _kmatrix_index=3;
- else if (nameIndex=="Pole4") _kmatrix_index=4;
- else if (nameIndex=="Pole5") _kmatrix_index=5;
- else if (nameIndex=="f11prod") _kmatrix_index=6;
- else assert(0);
-}
-
-
-// LASS parameterization
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairRes,
- double m0, double g0, double a, double r, double B, double phiB, double R, double phiR, double cutoff, bool scaleByMOverQ)
- : _dp(dp),
- _pairRes(pairRes),
- _typeN(LASS),
- _m0(m0),_g0(g0),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
- _g1(-1.),_g2(-1.),_coupling2(Undefined),
- _f_b(0.0), _f_d(1.5),
- _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
- _a(a),_r(r),_Blass(B),_phiB(phiB),_R(R),_phiR(phiR), _cutoff(cutoff), _scaleByMOverQ(scaleByMOverQ),
- _alpha(0.)
-{
- _spin=EvtSpinType::SCALAR;
- _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
- _vd.set_f( 1.5 ); // Default values for Blatt-Weisskopf factors.
-}
-
-
-//Flatte
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairRes, double m0)
- : _dp(dp),
- _pairRes(pairRes),
- _typeN(FLATTE),
- _m0(m0), _g0(0.),
- _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
- _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
- _g1(-1.),_g2(-1.),_coupling2(Undefined),
- _f_b(0.), _f_d(0.),
- _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
- _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.),_cutoff(-1.), _scaleByMOverQ(false),
- _alpha(0.)
-{
- _spin=EvtSpinType::SCALAR;
-}
-
-
-EvtDalitzReso::EvtDalitzReso(const EvtDalitzReso& other)
- : _dp(other._dp),
- _pairAng(other._pairAng),
- _pairRes(other._pairRes),
- _spin(other._spin),
- _typeN(other._typeN),
- _m0(other._m0),_g0(other._g0),
- _vb(other._vb),_vd(other._vd),
- _massFirst(other._massFirst),_massSecond(other._massSecond),
- _m0_mix(other._m0_mix),_g0_mix(other._g0_mix),_delta_mix(other._delta_mix),_amp_mix(other._amp_mix),
- _g1(other._g1),_g2(other._g2),_coupling2(other._coupling2),
- _f_b(other._f_b), _f_d(other._f_d),
- _kmatrix_index(other._kmatrix_index),
- _fr12prod(other._fr12prod),_fr13prod(other._fr13prod),_fr14prod(other._fr14prod),_fr15prod(other._fr15prod),
- _s0prod(other._s0prod),
- _a(other._a),_r(other._r),_Blass(other._Blass),_phiB(other._phiB),_R(other._R),_phiR(other._phiR),_cutoff(other._cutoff), _scaleByMOverQ(other._scaleByMOverQ),
- _alpha(other._alpha),
- _flatteParams(other._flatteParams)
-{}
-
-
-EvtDalitzReso::~EvtDalitzReso()
-{}
-
-
-EvtComplex EvtDalitzReso::evaluate(const EvtDalitzPoint& x)
-{
- double m = sqrt(x.q(_pairRes));
-
- if (_typeN==NON_RES)
- return EvtComplex(1.0,0.0);
-
- if (_typeN==NON_RES_LIN)
- return m*m;
-
- if (_typeN==NON_RES_EXP)
- return exp(-_alpha*m*m);
-
- // do use always hash table (speed up fitting)
- if (_typeN==K_MATRIX || _typeN==K_MATRIX_I || _typeN==K_MATRIX_II)
- return Fvector( m*m, _kmatrix_index );
-
- if (_typeN==LASS)
- return lass(m*m);
-
- if (_typeN==FLATTE)
- return flatte(m);
-
- EvtComplex amp(1.0,0.0);
-
- if (fabs(_dp.bigM() - x.bigM()) > 0.000001) {
- _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),x.bigM(),_spin);
- _vb.set_f(_f_b);
- }
- EvtTwoBodyKine vb(m,x.m(EvtCyclic3::other(_pairRes)),x.bigM());
- EvtTwoBodyKine vd(_massFirst,_massSecond,m);
-
- EvtComplex prop(0,0);
- if (_typeN==NBW) {
- prop = propBreitWigner(_m0,_g0,m);
- } else if (_typeN==GAUSS_CLEO || _typeN==GAUSS_CLEO_ZEMACH) {
- prop = propGauss(_m0,_g0,m);
- } else {
- if (_coupling2==Undefined) {
- // single BW
- double g = (_g0<=0. || _vd.pD()<=0.)? -_g0 : _g0*_vd.widthFactor(vd); // running width
- if (_typeN==GS_CLEO || _typeN==GS_CLEO_ZEMACH) {
- // Gounaris-Sakurai (GS)
- assert(_massFirst==_massSecond);
- prop = propGounarisSakurai(_m0,fabs(_g0),_vd.pD(),m,g,vd.p());
- } else {
- // standard relativistic BW
- prop = propBreitWignerRel(_m0,g,m);
- }
- } else {
- // coupled width BW
- EvtComplex G1,G2;
- switch (_coupling2) {
- case PicPic: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
- G2 = _g2*_g2*psFactor(mPic,mPic,m);
- break;
- }
- case PizPiz: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
- G2 = _g2*_g2*psFactor(mPiz,mPiz,m);
- break;
- }
- case PiPi: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
- static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
- G2 = _g2*_g2*psFactor(mPic,mPic,mPiz,mPiz,m);
- break;
- }
- case KcKc: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
- G2 = _g2*_g2*psFactor(mKc,mKc,m);
- break;
- }
- case KzKz: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
- G2 = _g2*_g2*psFactor(mKz,mKz,m);
- break;
- }
- case KK: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
- static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
- G2 = _g2*_g2*psFactor(mKc,mKc,mKz,mKz,m);
- break;
- }
- case EtaPic: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mEta = EvtPDL::getMass( EvtPDL::getId( "eta" ) );
- static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
- G2 = _g2*_g2*psFactor(mEta,mPic,m);
- break;
- }
- case EtaPiz: {
- G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
- static double mEta = EvtPDL::getMass( EvtPDL::getId( "eta" ) );
- static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
- G2 = _g2*_g2*psFactor(mEta,mPiz,m);
- break;
- }
- case PicPicKK: {
- static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
- //G1 = _g1*_g1*psFactor(mPic,mPic,m);
- G1 = _g1*psFactor(mPic,mPic,m);
- static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
- static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
- //G2 = _g2*_g2*psFactor(mKc,mKc,mKz,mKz,m);
- G2 = _g2*psFactor(mKc,mKc,mKz,mKz,m);
- break;
- }
- default:
- std::cout << "EvtDalitzReso:evaluate(): PANIC, wrong coupling2 state." << std::endl;
- assert(0);
- break;
- }
- // calculate standard couple BW propagator
- if (_coupling2 != WA76)
- prop = _g1*propBreitWignerRelCoupled(_m0,G1,G2,m);
- }
- }
- amp *= prop;
-
- // Compute form-factors (Blatt-Weisskopf penetration factor)
- amp *= _vb.formFactor(vb);
- amp *= _vd.formFactor(vd);
-
- // Compute numerator (angular distribution)
- amp *= numerator(x,vb,vd);
-
- // Compute electromagnetic mass mixing factor
- if (_m0_mix>0.) {
- EvtComplex prop_mix;
- if (_typeN==NBW) {
- prop_mix = propBreitWigner(_m0_mix,_g0_mix,m);
- } else {
- assert(_g1<0.); // running width only
- double g_mix = _g0_mix*_vd.widthFactor(vd);
- prop_mix = propBreitWignerRel(_m0_mix,g_mix,m);
- }
- amp *= mixFactor(prop,prop_mix);
- }
-
- return amp;
-}
-
-
-EvtComplex EvtDalitzReso::psFactor(double & ma, double & mb, double& m)
-{
- if (m>(ma+mb)) {
- EvtTwoBodyKine vd(ma,mb,m);
- return EvtComplex(0,2*vd.p()/m);
- } else {
- // analytical continuation
- double s = m*m;
- double phaseFactor_analyticalCont = -0.5*(sqrt(4*ma*ma/s-1)+sqrt(4*mb*mb/s-1));
- return EvtComplex(phaseFactor_analyticalCont,0);
- }
-}
-
-
-EvtComplex EvtDalitzReso::psFactor(double & ma1,double & mb1, double & ma2, double & mb2, double& m)
-{
- return 0.5*(psFactor(ma1,mb1,m)+psFactor(ma2,mb2,m));
-}
-
-
-EvtComplex EvtDalitzReso::propGauss(const double& m0, const double& s0, const double& m)
-{
- // Gaussian
- double gauss = 1./sqrt(EvtConst::twoPi)/s0*exp(-(m-m0)*(m-m0)/2./(s0*s0));
- return EvtComplex(gauss,0.);
-}
-
-
-EvtComplex EvtDalitzReso::propBreitWigner(const double& m0, const double& g0, const double& m)
-{
- // non-relativistic BW
- return sqrt(g0/EvtConst::twoPi)/(m-m0-EvtComplex(0.0,g0/2.));
-}
-
-
-EvtComplex EvtDalitzReso::propBreitWignerRel(const double& m0, const double& g0, const double& m)
-{
- // relativistic BW with real width
- return 1./(m0*m0-m*m-EvtComplex(0.,m0*g0));
-}
-
-
-
-EvtComplex EvtDalitzReso::propBreitWignerRel(const double& m0, const EvtComplex& g0, const double& m)
-{
- // relativistic BW with complex width
- return 1./(m0*m0-m*m-EvtComplex(0.,m0)*g0);
-}
-
-
-EvtComplex EvtDalitzReso::propBreitWignerRelCoupled(const double& m0, const EvtComplex& g1, const EvtComplex& g2, const double& m)
-{
- // relativistic coupled BW
- return 1./(m0*m0-m*m-(g1+g2));
-}
-
-EvtComplex EvtDalitzReso::propGounarisSakurai(const double& m0, const double& g0, const double& k0,
- const double& m, const double& g, const double& k)
-{
- // Gounaris-Sakurai parameterization of pi+pi- P wave. PRD, Vol61, 112002. PRL, Vol21, 244.
- // Expressions taken from BAD637v4, after fixing the imaginary part of the BW denominator: i M_R Gamma_R(s) --> i sqrt(s) Gamma_R(s)
- return (1.+GS_d(m0,k0)*g0/m0)/(m0*m0-m*m-EvtComplex(0.,m*g)+GS_f(m0,g0,k0,m,k));
-}
-
-
-inline double EvtDalitzReso::GS_f(const double& m0, const double& g0, const double& k0, const double& m, const double& k)
-{
- // m: sqrt(s)
- // m0: nominal resonance mass
- // k: momentum of pion in resonance rest frame (at m)
- // k0: momentum of pion in resonance rest frame (at nominal resonance mass)
- return g0*m0*m0/(k0*k0*k0)*( k*k*(GS_h(m,k)-GS_h(m0,k0)) + (m0*m0-m*m)*k0*k0*GS_dhods(m0,k0) );
-}
-
-inline double EvtDalitzReso::GS_h(const double& m, const double& k)
-{return 2./EvtConst::pi*k/m*log((m+2.*k)/(2.*_massFirst)) ;}
-
-inline double EvtDalitzReso::GS_dhods(const double& m0, const double& k0)
-{return GS_h(m0,k0)*( 0.125/(k0*k0) - 0.5/(m0*m0) ) + 0.5/(EvtConst::pi*m0*m0) ;}
-
-inline double EvtDalitzReso::GS_d(const double& m0, const double& k0)
-{return 3./EvtConst::pi*_massFirst*_massFirst/(k0*k0)*log((m0+2.*k0)/(2.*_massFirst)) +
- m0/(2.*EvtConst::pi*k0) - _massFirst*_massFirst*m0/(EvtConst::pi*k0*k0*k0) ;}
-
-
-EvtComplex EvtDalitzReso::numerator(const EvtDalitzPoint& x, const EvtTwoBodyKine& vb, const EvtTwoBodyKine& vd)
-{
- EvtComplex ret(0.,0.);
-
- // Non-relativistic Breit-Wigner
- if(NBW == _typeN) {
- ret = angDep(x);
- }
-
- // Standard relativistic Zemach propagator
- else if(RBW_ZEMACH == _typeN) {
- ret = _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB)*angDep(x);
- }
-
- // Standard relativistic Zemach propagator
- else if(RBW_ZEMACH2 == _typeN) {
- ret = _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB)*_vb.phaseSpaceFactor(vb,EvtTwoBodyKine::AB)*angDep(x);
- if(_spin == EvtSpinType::VECTOR) {
- ret *= -4.;
- } else if(_spin == EvtSpinType::TENSOR) {
- ret *= 16./3.;
- } else if(_spin != EvtSpinType::SCALAR)
- assert(0);
- }
-
- // Kuehn-Santamaria normalization:
- else if(RBW_KUEHN == _typeN) {
- ret = _m0*_m0 * angDep(x);
- }
-
- // CLEO amplitude
- else if( ( RBW_CLEO == _typeN ) || ( GS_CLEO == _typeN ) ||
- ( RBW_CLEO_ZEMACH == _typeN ) || ( GS_CLEO_ZEMACH == _typeN ) ||
- ( GAUSS_CLEO == _typeN ) || ( GAUSS_CLEO_ZEMACH == _typeN)) {
-
- Index iA = other(_pairAng); // A = other(BC)
- Index iB = common(_pairRes,_pairAng); // B = common(AB,BC)
- Index iC = other(_pairRes); // C = other(AB)
-
- double M = x.bigM();
- double mA = x.m(iA);
- double mB = x.m(iB);
- double mC = x.m(iC);
- double qAB = x.q(combine(iA,iB));
- double qBC = x.q(combine(iB,iC));
- double qCA = x.q(combine(iC,iA));
-
- double M2 = M*M;
- double m02 = ((RBW_CLEO_ZEMACH == _typeN)||(GS_CLEO_ZEMACH == _typeN)||(GAUSS_CLEO_ZEMACH == _typeN))? qAB : _m0*_m0;
- double mA2 = mA*mA;
- double mB2 = mB*mB;
- double mC2 = mC*mC;
-
- if (_spin == EvtSpinType::SCALAR) ret = EvtComplex(1.,0.);
- else if(_spin == EvtSpinType::VECTOR) {
- ret = qCA - qBC + (M2 - mC2)*(mB2 - mA2)/m02;
- } else if(_spin == EvtSpinType::TENSOR) {
- double x1 = qBC - qCA + (M2 - mC2)*(mA2 - mB2)/m02;
- double x2 = M2 - mC2;
- double x3 = qAB - 2*M2 - 2*mC2 + x2*x2/m02;
- double x4 = mA2 - mB2;
- double x5 = qAB - 2*mB2 - 2*mA2 + x4*x4/m02;
- ret = x1*x1 - x3*x5/3.;
- } else assert(0);
- }
-
- return ret;
-}
-
-
-double EvtDalitzReso::angDep(const EvtDalitzPoint& x)
-{
- // Angular dependece for factorizable amplitudes
- // unphysical cosines indicate we are in big trouble
- double cosTh = x.cosTh(_pairAng,_pairRes); // angle between common(reso,ang) and other(reso)
- if(fabs(cosTh) > 1.) {
- report(INFO,"EvtGen") << "cosTh " << cosTh << std::endl;
- assert(0);
- }
-
- // in units of half-spin
- return EvtdFunction::d(EvtSpinType::getSpin2(_spin),2*0,2*0,acos(cosTh));
-}
-
-
-EvtComplex EvtDalitzReso::mixFactor(EvtComplex prop, EvtComplex prop_mix)
-{
- double Delta = _delta_mix*(_m0+_m0_mix);
- return 1/(1-Delta*Delta*prop*prop_mix)*(1+_amp_mix*Delta*prop_mix);
-}
-
-
-
-EvtComplex EvtDalitzReso::Fvector( double s, int index )
-{
- assert(index>=1 && index<=6);
-
- //Define the complex coupling constant
- //The convection is as follow
- //i=0 --> pi+ pi-
- //i=1 --> KK
- //i=2 --> 4pi
- //i=3 --> eta eta
- //i=4 --> eta eta'
- //The first index is the resonace-pole index
-
- double g[5][5]; // Coupling constants. The first index is the pole index. The second index is the decay channel
- double ma[5]; // Pole masses. The unit is in GeV
-
- int solution = (_typeN==K_MATRIX)? 3 : ( (_typeN==K_MATRIX_I)? 1 : ( (_typeN==K_MATRIX_II)? 2 : 0 ) ) ;
- if (solution==0) { std::cout << "EvtDalitzReso::Fvector() error. Kmatrix solution incorrectly chosen ! " << std::endl; abort(); }
-
- if (solution == 3 ) {
-
- // coupling constants
- //pi+pi- channel
- g[0][0]=0.22889;
- g[1][0]=0.94128;
- g[2][0]=0.36856;
- g[3][0]=0.33650;
- g[4][0]=0.18171;
- //K+K- channel
- g[0][1]=-0.55377;
- g[1][1]=0.55095;
- g[2][1]=0.23888;
- g[3][1]=0.40907;
- g[4][1]=-0.17558;
- //4pi channel
- g[0][2]=0;
- g[1][2]=0;
- g[2][2]=0.55639;
- g[3][2]=0.85679;
- g[4][2]=-0.79658;
- //eta eta channel
- g[0][3]=-0.39899;
- g[1][3]=0.39065;
- g[2][3]=0.18340;
- g[3][3]=0.19906;
- g[4][3]=-0.00355;
- //eta eta' channel
- g[0][4]=-0.34639;
- g[1][4]=0.31503;
- g[2][4]=0.18681;
- g[3][4]=-0.00984;
- g[4][4]=0.22358;
-
- // Pole masses
- ma[0]=0.651;
- ma[1]=1.20360;
- ma[2]=1.55817;
- ma[3]=1.21000;
- ma[4]=1.82206;
-
- } else if (solution == 1) { // solnI.txt
-
- // coupling constants
- //pi+pi- channel
- g[0][0]=0.31896;
- g[1][0]=0.85963;
- g[2][0]=0.47993;
- g[3][0]=0.45121;
- g[4][0]=0.39391;
- //K+K- channel
- g[0][1]=-0.49998;
- g[1][1]=0.52402;
- g[2][1]=0.40254;
- g[3][1]=0.42769;
- g[4][1]=-0.30860;
- //4pi channel
- g[0][2]=0;
- g[1][2]=0;
- g[2][2]=1.0;
- g[3][2]=1.15088;
- g[4][2]=0.33999;
- //eta eta channel
- g[0][3]=-0.21554;
- g[1][3]=0.38093;
- g[2][3]=0.21811;
- g[3][3]=0.22925;
- g[4][3]=0.06919;
- //eta eta' channel
- g[0][4]=-0.18294;
- g[1][4]=0.23788;
- g[2][4]=0.05454;
- g[3][4]=0.06444;
- g[4][4]=0.32620;
-
- // Pole masses
- ma[0]=0.7369;
- ma[1]=1.24347;
- ma[2]=1.62681;
- ma[3]=1.21900;
- ma[4]=1.74932;
-
- } else if (solution == 2) { // solnIIa.txt
-
- // coupling constants
- //pi+pi- channel
- g[0][0]=0.26014;
- g[1][0]=0.95289;
- g[2][0]=0.46244;
- g[3][0]=0.41848;
- g[4][0]=0.01804;
- //K+K- channel
- g[0][1]=-0.57849;
- g[1][1]=0.55887;
- g[2][1]=0.31712;
- g[3][1]=0.49910;
- g[4][1]=-0.28430;
- //4pi channel
- g[0][2]=0;
- g[1][2]=0;
- g[2][2]=0.70340;
- g[3][2]=0.96819;
- g[4][2]=-0.90100;
- //eta eta channel
- g[0][3]=-0.32936;
- g[1][3]=0.39910;
- g[2][3]=0.22963;
- g[3][3]=0.24415;
- g[4][3]=-0.07252;
- //eta eta' channel
- g[0][4]=-0.30906;
- g[1][4]=0.31143;
- g[2][4]=0.19802;
- g[3][4]=-0.00522;
- g[4][4]=0.17097;
-
- // Pole masses
- ma[0]=0.67460;
- ma[1]=1.21094;
- ma[2]=1.57896;
- ma[3]=1.21900;
- ma[4]=1.86602;
- }
-
- //Now define the K-matrix pole
- double rho1sq,rho2sq,rho4sq,rho5sq;
- EvtComplex rho[5];
- double f[5][5];
-
- //Initalize the mass of the resonance
- double mpi=0.13957;
- double mK=0.493677; //using charged K value
- double meta=0.54775; //using PDG value
- double metap=0.95778; //using PDG value
-
- //Initialize the matrix to value zero
- EvtComplex K[5][5];
- for(int i=0;i<5;i++) {
- for(int j=0;j<5;j++) {
- K[i][j]=EvtComplex(0,0);
- f[i][j]=0;
- }
- }
-
- //Input the _f[i][j] scattering data
- double s_scatt=0.0 ;
- if (solution == 3)
- s_scatt=-3.92637;
- else if (solution == 1)
- s_scatt= -5.0 ;
- else if (solution == 2)
- s_scatt= -5.0 ;
- double sa=1.0;
- double sa_0=-0.15;
- if (solution == 3) {
- f[0][0]=0.23399; // f^scatt
- f[0][1]=0.15044;
- f[0][2]=-0.20545;
- f[0][3]=0.32825;
- f[0][4]=0.35412;
- }else if (solution == 1) {
- f[0][0]=0.04214; // f^scatt
- f[0][1]=0.19865;
- f[0][2]=-0.63764;
- f[0][3]=0.44063;
- f[0][4]=0.36717;
- }else if (solution == 2) {
- f[0][0]=0.26447; // f^scatt
- f[0][1]=0.10400;
- f[0][2]=-0.35445;
- f[0][3]=0.31596;
- f[0][4]=0.42483;
- }
- f[1][0]=f[0][1];
- f[2][0]=f[0][2];
- f[3][0]=f[0][3];
- f[4][0]=f[0][4];
-
- //Now construct the phase-space factor
- //For eta-eta' there is no difference term
- rho1sq = 1. - pow( mpi + mpi, 2 ) / s; //pi+ pi- phase factor
- if( rho1sq >= 0 )
- rho[ 0 ] = EvtComplex( sqrt( rho1sq ), 0 );
- else
- rho[ 0 ] = EvtComplex( 0, sqrt( -rho1sq ) );
-
- rho2sq = 1. - pow( mK + mK, 2 ) / s;
- if( rho2sq >= 0 )
- rho[ 1 ] = EvtComplex( sqrt( rho2sq ), 0 );
- else
- rho[ 1 ] = EvtComplex( 0, sqrt( -rho2sq ) );
-
- //using the A&S 4pi phase space Factor:
- //Shit, not continue
- if( s <= 1 )
- {
- double real = 1.2274 + .00370909 / ( s * s ) - .111203 / s - 6.39017 * s + 16.8358*s*s - 21.8845*s*s*s + 11.3153*s*s*s*s;
- double cont32 = sqrt(1.0-(16.0*mpi*mpi));
- rho[ 2 ] = EvtComplex( cont32 * real, 0 );
- }
- else
- rho[ 2 ] = EvtComplex( sqrt( 1. - 16. * mpi * mpi / s ), 0 );
-
- rho4sq = 1. - pow( meta + meta, 2 ) / s;
- if( rho4sq >= 0 )
- rho[ 3 ] = EvtComplex( sqrt( rho4sq ), 0 );
- else
- rho[ 3 ] = EvtComplex( 0, sqrt( -rho4sq ) );
-
- rho5sq = 1. - pow( meta + metap, 2 ) / s;
- if( rho5sq >= 0 )
- rho[ 4 ] = EvtComplex( sqrt( rho5sq ), 0 );
- else
- rho[ 4 ] = EvtComplex( 0, sqrt( -rho5sq ) );
-
- double smallTerm = 1; // Factor to prevent divergences.
-
- // Check if some pole may arise problems.
- for ( int pole = 0; pole < 5; pole++ )
- if ( fabs( pow( ma[ pole ], 2 ) - s ) < PRECISION )
- smallTerm = pow( ma[ pole ], 2 ) - s;
-
- //now sum all the pole
- //equation (3) in the E791 K-matrix paper
- for(int i=0;i<5;i++) {
- for(int j=0;j<5;j++) {
- for (int pole_index=0;pole_index<5;pole_index++) {
- double A=g[pole_index][i]*g[pole_index][j];
- double B=ma[pole_index]*ma[pole_index]-s;
-
- if ( fabs( B ) < PRECISION )
- K[ i ][ j ] += EvtComplex( A , 0 );
- else
- K[ i ][ j ] += EvtComplex( A / B, 0 ) * smallTerm;
- }
- }
- }
-
- //now add the SVT part
- for(int i=0;i<5;i++) {
- for(int j=0;j<5;j++) {
- double C=f[i][j]*(1.0-s_scatt);
- double D=(s-s_scatt);
- K[ i ][ j ] += EvtComplex( C / D, 0 ) * smallTerm;
- }
- }
-
- //Fix the bug in the FOCUS paper
- //Include the Alder zero term:
- for(int i=0;i<5;i++) {
- for(int j=0;j<5;j++) {
- double E=(s-(sa*mpi*mpi*0.5))*(1.0-sa_0);
- double F=(s-sa_0);
- K[ i ][ j ] *= EvtComplex(E/F,0);
- }
- }
-
- //This is not correct!
- //(1-ipK) != (1-iKp)
- static EvtMatrix< EvtComplex > mat;
- mat.setRange( 5 ); // Try to do in only the first time. DEFINE ALLOCATION IN CONSTRUCTOR.
-
- for ( int row = 0; row < 5; row++ )
- for ( int col = 0; col < 5; col++ )
- mat( row, col ) = ( row == col ) * smallTerm - EvtComplex( 0., 1. ) * K[ row ][ col ] * rho[ col ];
-
-
- EvtMatrix< EvtComplex >* matInverse = mat.inverse(); //The 1st row of the inverse matrix. This matrix is {(I-iKp)^-1}_0j
- vector< EvtComplex > U1j;
- for ( int j = 0; j < 5; j++ )
- U1j.push_back( (*matInverse)[ 0 ][ j ] );
-
- delete matInverse;
-
- //this calculates final F0 factor
- EvtComplex value( 0, 0 );
- if (index<=5) {
- //this calculates the beta_idx Factors
- for(int j=0;j<5;j++) { // sum for 5 channel
- EvtComplex top = U1j[j]*g[index-1][j];
- double bottom = ma[index-1]*ma[index-1]-s;
-
- if ( fabs( bottom ) < PRECISION )
- value += top;
- else
- value += top / bottom * smallTerm;
- }
- } else {
- //this calculates fprod Factors
- value += U1j[0];
- value += U1j[1]*_fr12prod;
- value += U1j[2]*_fr13prod;
- value += U1j[3]*_fr14prod;
- value += U1j[4]*_fr15prod;
-
- value *= (1-_s0prod)/(s-_s0prod) * smallTerm;
- }
-
- return value;
-}
-
-
-//replace Breit-Wigner with LASS
-EvtComplex EvtDalitzReso::lass(double s)
-{
- EvtTwoBodyKine vd(_massFirst,_massSecond, sqrt(s));
- double q = vd.p();
- double GammaM = _g0*_vd.widthFactor(vd); // running width;
-
- //calculate the background phase motion
- double cot_deltaB = 1.0/(_a*q) + 0.5*_r*q;
- double deltaB = atan( 1.0/cot_deltaB);
- double totalB = deltaB + _phiB ;
-
- //calculate the resonant phase motion
- double deltaR = atan((_m0*GammaM/(_m0*_m0 - s)));
- double totalR = deltaR + _phiR ;
-
- //sum them up
- EvtComplex bkgB,resT;
- bkgB = EvtComplex(_Blass*sin(totalB),0)*EvtComplex(cos(totalB),sin(totalB));
- resT = EvtComplex(_R*sin(deltaR),0)*EvtComplex(cos(totalR),sin(totalR))*EvtComplex(cos(2*totalB),sin(2*totalB));
-
- EvtComplex T;
- if(_cutoff>0 && sqrt(s)>_cutoff) T = resT;
- else T = bkgB + resT;
-
- if(_scaleByMOverQ) T*=(sqrt(s)/q);
-
- return T;
-}
-
-
-EvtComplex EvtDalitzReso::flatte(const double& m) {
-
- EvtComplex w;
-
- for (vector<EvtFlatteParam>::const_iterator param = _flatteParams.begin();
- param != _flatteParams.end();
- ++param) {
- double m1 = (*param).m1(); double m2 = (*param).m2();
- double g = (*param).g();
- w += (g*g*sqrtCplx((1-((m1-m2)*(m1-m2))/(m*m))*(1-((m1+m2)*(m1+m2))/(m*m))));
- }
-
- EvtComplex denom = _m0*_m0 - m*m - EvtComplex(0,1)*w;
-
- return EvtComplex(1.0,0.0)/denom;
-}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff