Comparison of kaon and pion valence quark distributions in a statistical model

TL;DR

This paper models the valence quark distributions in kaons and pions using a statistical approach, predicting the ratio of their distributions without free parameters, aligning with experimental data.

Contribution

It introduces a parameter-free statistical model to compare kaon and pion valence quark distributions, providing predictions consistent with experimental observations.

Findings

Model predicts the decrease of the ratio ar_K(x)/ar__(x) with increasing x.

The model describes mesons using a Fock state expansion including quarks, antiquarks, and gluons.

Predictions align with existing experimental data on valence quark distributions.

Abstract

We have calculated the Bjorken-x dependence of the kaon and pion valence quark distributions in a statistical model. Each meson is described by a Fock state expansion in terms of quarks, antiquarks and gluons. Although Drell-Yan experiments have measured the pion valence quark distributions directly, the kaon valence quark distributions have only been deduced from the measurement of the ratio $\bar{u}_K(x)/\bar{u}_\pi(x)$. We show that, using no free parameters, our model predicts the decrease of this ratio with increasing x.