A Consistent Way of Analysis of Hadrons Measured in a Finite Rapidity Interval in Relativistic Heavy-ion Collisions

TL;DR

This paper introduces a new iterative method for analyzing hadron multiplicities and transverse momentum spectra within limited rapidity intervals in heavy-ion collisions, ensuring consistency without ad hoc assumptions.

Contribution

It presents a novel iteration technique that accurately analyzes hadron data in small rapidity intervals, improving consistency and fitting quality over previous methods.

Findings

Excellent fits to transverse momentum spectra and ratios.

Calculated ratios involving strange baryons agree well with data.

Method successfully applied to ALICE Pb+Pb collision data at 2.76 TeV/A.

Abstract

A new iteration method is proposed for analyzing both the multiplicities and the transverse momentum spectra measured only within a small rapidity interval and with low momentum limit without any inconsistency or ad hoc assumptions and applied to the hadron data by the ALICE collaboration in Pb+Pb collisions at 2.76 TeV/A. In order to correctly consider the resonance contribution only to the small rapidity interval, ratios involving only those hadrons whose transverse momentum spectrum is available are considered. In spite of the small number of ratios considered, the fittings of both the ratios the transverse momentum spectra are excellent. Also the calculated ratios involving strange baryons with parameters obtained agree with data surprisingly well.