Rivet analyses
Analysis of J/ψ and ψ(2S) decays to Λ0Λ̄0 and Σ0Σ̄0
Experiment: BESIII (BEPC)
Inspire ID: 1510563
Status: VALIDATED
Authors: - Peter Richardson
References: - Phys.Rev. D95 (2017) no.5, 052003
Beams: e- e+
Beam energies: (1.6, 1.6); (1.8, 1.8)GeV
Run details: - e+e- > J/psi and Psi(2S).
Analysis of the angular distribution of the baryons produced in e+e− → J/ψ, ψ(2S) → Λ0Λ̄0, Σ0Σ̄0. Gives information about the decay and is useful for testing correlations in hadron decay.
Source
code:BESIII_2017_I1510563.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"
namespace Rivet {
/// @brief Jpsi/psi2S baryon decay analysis
class BESIII_2017_I1510563 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2017_I1510563);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
// Initialise and register projections
declare(Beam(), "Beams");
declare(UnstableParticles(), "UFS");
declare(FinalState(), "FS");
// Book histograms
size_t ih = 0;
for (double eVal : allowedEnergies()) {
const string en = toString(round(eVal/MeV));
if (isCompatibleWithSqrtS(eVal, 1e-1)) _sqs = en;
book(_h[en+"lam"], 1, 1, 1+ih);
book(_h[en+"sig"], 1, 1, 3+ih);
++ih;
}
raiseBeamErrorIf(_sqs.empty());
}
void findChildren(const Particle& p, map<long,int>& nRes, int& ncount) const {
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 lambda0 and sigma0 baryons
const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
for (const Particle& p : ufs.particles(Cuts::abspid==3122 or Cuts::abspid==3212)) {
if(p.children().empty()) continue;
map<long,int> nRes=nCount;
int ncount = ntotal;
findChildren(p,nRes,ncount);
bool matched=false;
// check for antiparticle
for (const Particle& p2 : ufs.particles(Cuts::pid==-p.pid())) {
if(p2.children().empty()) continue;
map<long,int> nRes2=nRes;
int ncount2 = ncount;
findChildren(p2,nRes2,ncount2);
if (ncount2==0) {
matched = true;
for (const auto& val : nRes2) {
if (val.second!=0) {
matched = false;
break;
}
}
// fond baryon and antibaryon
if (matched) {
// calc cosine
double ctheta;
if (p.pid()>0) {
ctheta = p .mom().p3().unit().dot(axis);
}
else {
ctheta = p2.mom().p3().unit().dot(axis);
}
if (p.abspid()==3122) {
_h[_sqs+"lam"]->fill(ctheta);
}
else {
_h[_sqs+"sig"]->fill(ctheta);
}
break;
}
}
}
if (matched) break;
}
}
pair<double,pair<double,double> > calcAlpha(const Histo1DPtr& hist) const {
if(hist->numEntries()==0.) return make_pair(0.,make_pair(0.,0.));
double sum1(0.),sum2(0.),sum3(0.),sum4(0.),sum5(0.);
for (const auto& bin : hist->bins()) {
double Oi = bin.sumW();
if(Oi==0.) continue;
double a = 1.5*(bin.xMax() - bin.xMin());
double b = 0.5*(pow(bin.xMax(),3) - pow(bin.xMin(),3));
double Ei = bin.errW();
sum1 += a*Oi/sqr(Ei);
sum2 += b*Oi/sqr(Ei);
sum3 += sqr(a)/sqr(Ei);
sum4 += sqr(b)/sqr(Ei);
sum5 += a*b/sqr(Ei);
}
// calculate alpha
double alpha = (-3*sum1 + 9*sum2 + sum3 - 3*sum5)/(sum1 - 3*sum2 + 3*sum4 - sum5);
// and error
double cc = -pow((sum3 + 9*sum4 - 6*sum5),3);
double bb = -2*sqr(sum3 + 9*sum4 - 6*sum5)*(sum1 - 3*sum2 + 3*sum4 - sum5);
double aa = sqr(sum1 - 3*sum2 + 3*sum4 - sum5)*(-sum3 - 9*sum4 + sqr(sum1 - 3*sum2 + 3*sum4 - sum5) + 6*sum5);
double dis = sqr(bb)-4.*aa*cc;
if (dis>0.) {
dis = sqrt(dis);
return make_pair(alpha,make_pair(0.5*(-bb+dis)/aa,-0.5*(-bb-dis)/aa));
}
else {
return make_pair(alpha,make_pair(0.,0.));
}
}
/// Normalise histograms etc., after the run
void finalize() {
normalize(_h);
// find energy
size_t ih = 0;
Estimate0DPtr est;
pair<double,pair<double,double> > alpha;
for (double eVal : allowedEnergies()) {
const string en = toString(round(eVal/MeV));
if (isCompatibleWithSqrtS(eVal, 1e-1)) _sqs = en;
book(est, 2, 1+ih, 1);
alpha = calcAlpha(_h[en+"lam"]);
est->set(alpha.first, alpha.second);
book(est, 2, 2+ih, 1);
alpha = calcAlpha(_h[en+"sig"]);
est->set(alpha.first, alpha.second);
ih += 2;
}
}
/// @}
/// @name Histograms
/// @{
map<string,Histo1DPtr> _h;
string _sqs = "";
/// @}
};
RIVET_DECLARE_PLUGIN(BESIII_2017_I1510563);
}