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BESIII_2017_I1624548

Analysis of $\psi(2S)\to\gamma\chi_{c2}$ decays using $\chi_{c2}\to\gamma\gamma$
Experiment: BESIII (BEPC)
Inspire ID: 1624548
Status: VALIDATED NOHEPDATA
Authors:
  • Peter Richardson
References:
  • Phys.Rev.D 96 (2017) 9, 092007
Beams: e- e+
Beam energies: (1.8, 1.8) GeV
Run details:
  • e+e- > psi(2S)

Analysis of the angular distribution of the photons and leptons produced in $e^+e^-\to \psi(2S) \to \gamma\chi_{c2}$ followed by $\chi_{c2}\to\gamma \gamma$. Gives information about the decay and is useful for testing correlations in charmonium decays. N.B. the data was read from the figures in the paper and is not corrected and should only be used qualatively.

Source code: BESIII_2017_I1624548.cc
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// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {


  /// @brief psi(2S) -> gamma chi_c1,2
  class BESIII_2017_I1624548 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2017_I1624548);


    /// @name Analysis methods
    /// @{

    /// Book histograms and initialise projections before the run
    void init() {
      // Initialise and register projections
      declare(Beam(), "Beams");
      declare(UnstableParticles(Cuts::pid==445), "UFS");
      declare(FinalState(), "FS");
      for(unsigned int ix=0;ix<3;++ix)
	book(_h[ix],1,1,1+ix);
    }

    void findChildren(const Particle & p,map<long,int> & nRes, int &ncount) {
      for( const Particle &child : p.children()) {
	if(child.children().empty()) {
	  nRes[child.pid()]-=1;
	  --ncount;
	}
	else
	  findChildren(child,nRes,ncount);
      }
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      // get the axis, direction of incoming electron
      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
      Vector3 axis;
      if(beams.first.pid()>0)
	axis = beams.first .momentum().p3().unit();
      else
	axis = beams.second.momentum().p3().unit();
      // types of final state particles
      const FinalState& fs = apply<FinalState>(event, "FS");
      map<long,int> nCount;
      int ntotal(0);
      for (const Particle& p :  fs.particles()) {
	nCount[p.pid()] += 1;
	++ntotal;
      }
      // loop over chi_c states
      Particle chi;
      bool matched = false;
      const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
      for (const Particle& p :  ufs.particles()) {
       	if(p.children().empty()) continue;
       	map<long,int> nRes=nCount;
       	int ncount = ntotal;
       	findChildren(p,nRes,ncount);
	if(ncount==1) {
	  matched = true;
	  for(auto const & val : nRes) {
	    if(val.first==PID::PHOTON) {
	      if(val.second!=1) {
	      matched = false;
	      break;
	      }
	    }
	    else if(val.second!=0) {
	      matched = false;
	      break;
	    }
	  }
	  if(matched) {
	    chi=p;
	    break;
	  }
	}
      }
      if(!matched) vetoEvent;
      // have chi_c find psi2S 
      if(chi.parents().empty() || chi.children().size()!=2) vetoEvent;
      Particle psi2S = chi.parents()[0];
      if(psi2S.pid()!=100443 || psi2S.children().size()!=2) vetoEvent;
      // then the first photon
      Particle gamma1;
      if(psi2S.children()[0].pid()==PID::PHOTON)
	gamma1 = psi2S.children()[0];
      else if(psi2S.children()[1].pid()==PID::PHOTON)
	gamma1 = psi2S.children()[1];
      else
	vetoEvent;
      // and second photon
      Particle gamma2;
      if(chi.children()[0].pid()==PID::PHOTON &&
	 chi.children()[1].pid()==PID::PHOTON) {
	gamma2 = chi.children()[0];
      }
      else
	vetoEvent;
      // first angle of gamma1 w.r.t beam
      _h[0]->fill(axis.dot(gamma1.momentum().p3().unit()));
      // axis in the chi frame
      LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(chi.momentum().betaVec());
      Vector3 e1z = gamma1.momentum().p3().unit();
      Vector3 e1y = e1z.cross(axis).unit();
      Vector3 e1x = e1y.cross(e1z).unit();
      // cos theta_2 and phi 2 distributions
      FourMomentum pGamma2 = boost1.transform(gamma2.momentum());
      Vector3 axis1 = pGamma2.p3().unit();
      _h[1]->fill(e1z.dot(axis1));
      double phi2 = atan2(e1y.dot(axis1),e1x.dot(axis1));
      if(phi2<0) phi2+=2.*M_PI;
      _h[2]->fill(phi2);
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      for(unsigned int ix=0;ix<3;++ix) {
	normalize(_h[ix],1.,false);
      }
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h[3];
    /// @}


  };


  RIVET_DECLARE_PLUGIN(BESIII_2017_I1624548);

}