Rivet analyses referenceBESIII_2019_I1747092Analysis of ψ(2S) decays to Ξ∗−ˉΞ∗+Experiment: BESIII (BEPC) Inspire ID: 1747092 Status: VALIDATED NOHEPDATA Authors:
Beam energies: (1.8, 1.8) GeV Run details:
Analysis of the angular distribution of the baryons produced in e+e−→ψ(2S)→Ξ∗−ˉΞ∗+. 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 Estimate0DPtr _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->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}
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