A polynomial in transverse momentum manifesting thermalisation in nuclear collisions

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.