A Check-up for the Statistical Parton Model

TL;DR

This paper evaluates a quantum statistical approach to parton distributions by comparing its predictions with experimental data from Hera, confirming the model's robustness and its ability to describe both polarized and unpolarized distributions with few parameters.

Contribution

It provides a comprehensive comparison of the statistical parton model with experimental data, confirming its validity and robustness across different degrees of freedom.

Findings

Good agreement with Hera unpolarized data

Consistent 'temperature' and 'potentials' parameters

Effective description with few fixed parameters

Abstract

We compare the parton distributions deduced in the framework of a quantum statistical approach for both the longitudinal and transverse degrees of freedom with the unpolarized distributions measured at Hera and with the polarized ones proposed in a previous paper, which have been shown to be in very good agreement also with the results of experiments performed after that proposal. The agreement with Hera data in correspondence of very similar values for the 'temperature' and the 'potentials' found in the previous work gives a robust confirm of the statistical model. The feature of describing both unpolarized and polarized parton distributions in terms of few parameters fixed by data with large statistics and small systematic errors makes very attractive the parametrization proposed here.