Dynamical and thermal descriptions in parton distribution functions

TL;DR

This paper proposes a duality between dynamical and statistical models of parton distributions in nucleons, estimating an effective temperature that aligns with freeze-out temperatures in heavy-ion collisions.

Contribution

It introduces a novel duality concept and estimates a temperature parameter linking parton distributions to thermal models.

Findings

Effective temperature is similar for longitudinal and transverse momenta.

Estimated temperature aligns with freeze-out temperatures in heavy-ion collisions.

Duality provides a new perspective on parton distribution modeling.

Abstract

We suggest a duality between the standard (dynamical) and statistical distributions of partons in the nucleons. The temperature parameter entering into the statistical form for the quark distributions is estimated. It is found that this effective temperature is practically the same for the dependence on longitudinal and transverse momenta and, in turn, it is close to the freeze-out temperature in high energy heavy-ion collisions.