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BESIII_2019_I1747092

Analysis of $\psi(2S)$ decays to $\Xi^{*-}\bar\Xi^{*+}$
Experiment: BESIII (BEPC)
Inspire ID: 1747092
Status: VALIDATED NOHEPDATA
Authors:
  • Peter Richardson
References:
  • Phys.Rev.D 100 (2019) 5, 051101
Beams: e- e+
Beam energies: (1.8, 1.8) GeV
Run details:
  • e+e- -> Psi(2S)

Analysis of the angular distribution of the baryons produced in $e^+e^-\to \psi(2S) \to \Xi^{*-}\bar\Xi^{*+}$. Gives information about the decay and is useful for testing correlations in hadron decays.

Source code: BESIII_2019_I1747092.cc
  1// -*- C++ -*-
  2#include "Rivet/Analysis.hh"
  3#include "Rivet/Projections/Beam.hh"
  4#include "Rivet/Projections/FinalState.hh"
  5#include "Rivet/Projections/UnstableParticles.hh"
  6
  7namespace Rivet {
  8
  9
 10  /// @brief BES psi2s -> Xi*- Xibar*+
 11  class BESIII_2019_I1747092 : public Analysis {
 12  public:
 13
 14    /// Constructor
 15    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2019_I1747092);
 16
 17
 18    /// @name Analysis methods
 19    /// @{
 20
 21    /// Book histograms and initialise projections before the run
 22    void init() {
 23
 24      // Initialise and register projections
 25      declare(Beam(), "Beams");
 26      declare(UnstableParticles(), "UFS");
 27      declare(FinalState(), "FS");
 28
 29      book(_h_xim, 1, 1, 1);
 30      book(_h_xip, 1, 1, 2);
 31
 32    }
 33
 34    void findChildren(const Particle & p,map<long,int> & nRes, int &ncount) {
 35      for(const Particle &child : p.children()) {
 36        if(child.children().empty()) {
 37          nRes[child.pid()]-=1;
 38          --ncount;
 39        }
 40        else
 41          findChildren(child,nRes,ncount);
 42      }
 43    }
 44
 45    /// Perform the per-event analysis
 46    void analyze(const Event& event) {
 47      // get the axis, direction of incoming electron
 48      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
 49      Vector3 axis;
 50      if(beams.first.pid()>0)
 51        axis = beams.first .momentum().p3().unit();
 52      else
 53        axis = beams.second.momentum().p3().unit();
 54      // types of final state particles
 55      const FinalState& fs = apply<FinalState>(event, "FS");
 56      map<long,int> nCount;
 57      int ntotal(0);
 58      for (const Particle& p : fs.particles()) {
 59        nCount[p.pid()] += 1;
 60        ++ntotal;
 61      }
 62
 63      const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
 64      for (const Particle& p : ufs.particles(Cuts::abspid==3314)) {
 65        if(p.children().empty()) continue;
 66        map<long,int> nRes=nCount;
 67        int ncount = ntotal;
 68        findChildren(p,nRes,ncount);
 69        bool matched=false;
 70        // check for antiparticle
 71        for (const Particle& p2 : ufs.particles(Cuts::pid==-p.pid())) {
 72          if(p2.children().empty()) continue;
 73          map<long,int> nRes2=nRes;
 74          int ncount2 = ncount;
 75          findChildren(p2,nRes2,ncount2);
 76          if(ncount2==0) {
 77            matched = true;
 78            for(auto const & val : nRes2) {
 79              if(val.second!=0) {
 80                matched = false;
 81                break;
 82              }
 83            }
 84            // fond baryon and antibaryon
 85            if(matched) {
 86              // calc cosine
 87              double ctheta1 = p .momentum().p3().unit().dot(axis);
 88              double ctheta2 = p2.momentum().p3().unit().dot(axis);
 89              if(p.pid()<0) swap(ctheta1,ctheta2);
 90              _h_xim->fill(ctheta1);
 91              _h_xip->fill(ctheta2);
 92              break;
 93            }
 94          }
 95        }
 96        if(matched) break;
 97      }
 98    }
 99
100    pair<double,pair<double,double> > calcAlpha(Histo1DPtr hist) {
101      if(hist->numEntries()==0.) return make_pair(0.,make_pair(0.,0.));
102      double d = 3./(pow(hist->xMax(),3)-pow(hist->xMin(),3));
103      double c = 3.*(hist->xMax()-hist->xMin())/(pow(hist->xMax(),3)-pow(hist->xMin(),3));
104      double sum1(0.),sum2(0.),sum3(0.),sum4(0.),sum5(0.);
105      for (const auto& bin : hist->bins() ) {
106        double Oi = bin.sumW();
107        if(Oi==0.) continue;
108        double a =  d*(bin.xMax() - bin.xMin());
109        double b = d/3.*(pow(bin.xMax(),3) - pow(bin.xMin(),3));
110        double Ei = bin.errW();
111        sum1 +=   a*Oi/sqr(Ei);
112        sum2 +=   b*Oi/sqr(Ei);
113        sum3 += sqr(a)/sqr(Ei);
114        sum4 += sqr(b)/sqr(Ei);
115        sum5 +=    a*b/sqr(Ei);
116      }
117      // calculate alpha
118      double alpha = (-c*sum1 + sqr(c)*sum2 + sum3 - c*sum5)/(sum1 - c*sum2 + c*sum4 - sum5);
119      // and error
120      double cc = -pow((sum3 + sqr(c)*sum4 - 2*c*sum5),3);
121      double bb = -2*sqr(sum3 + sqr(c)*sum4 - 2*c*sum5)*(sum1 - c*sum2 + c*sum4 - sum5);
122      double aa =  sqr(sum1 - c*sum2 + c*sum4 - sum5)*(-sum3 - sqr(c)*sum4 + sqr(sum1 - c*sum2 + c*sum4 - sum5) + 2*c*sum5);
123      double dis = sqr(bb)-4.*aa*cc;
124      if(dis>0.) {
125        dis = sqrt(dis);
126        return make_pair(alpha,make_pair(0.5*(-bb+dis)/aa,-0.5*(-bb-dis)/aa));
127      }
128      else {
129        return make_pair(alpha,make_pair(0.,0.));
130      }
131    }
132
133    /// Normalise histograms etc., after the run
134    void finalize() {
135      normalize(_h_xim,1.,false);
136      normalize(_h_xip,1.,false);
137      Estimate1DPtr _h_alpha_xi;
138      book(_h_alpha_xi, 2,1,1);
139      pair<double,pair<double,double> > alpha = calcAlpha(_h_xim);
140      _h_alpha_xi->bin(1).set(alpha.first, make_pair(alpha.second.first,alpha.second.second));
141    }
142
143    /// @}
144
145
146    /// @name Histograms
147    /// @{+
148    Histo1DPtr _h_xim,_h_xip;
149    /// @}
150
151  };
152
153
154  RIVET_DECLARE_PLUGIN(BESIII_2019_I1747092);
155
156}