A polynomial in transverse momentum manifesting thermalisation in nuclear collisions

TL;DR

The paper introduces a polynomial function of transverse momentum that reveals thermalization patterns in nuclear collisions by analyzing the distribution of produced hadrons within the UrQMD model.

Contribution

It presents a novel polynomial in transverse momentum that characterizes thermalization in nuclear collisions, linking particle distributions to quantum statistical behaviors.

Findings

Particles with light front variable magnitude exceeding a threshold follow quantum statistical distributions.

The polynomial function effectively indicates thermalization in simulated nuclear collision data.

The approach connects kinematic variables to thermalization signatures in high-energy nuclear physics.

Abstract

A specific value of light front variable $\zeta_c(p_T,m)$ of the inclusively produced hadrons in a relativistic nuclear collision is constructed as a polynomial in transverse momentum $p_T$ of the particle within the UrQMD transport model. It is shown that those particles with the absolute value of their light front variable $\zeta$ greater than the corresponding $\zeta_c(p_T,m)$ follow a Fermi-Dirac or Bose-Einstein distribution depending upon the spin of the particle.