Sea Quark Flavor Asymmetry of Hadrons in Statistical Balance Model

TL;DR

This paper introduces a Monte Carlo simulation method within a statistical model to predict sea-quark flavor asymmetry in various hadrons, demonstrating that the asymmetry is primarily determined by valence quark numbers and is robust against dynamic details.

Contribution

The paper develops a Monte Carlo approach to simulate kinetic equilibrium in a statistical model, confirming sea-quark asymmetry's independence from detailed quark-gluon dynamics.

Findings

Sea-quark asymmetry values are consistent with experimental data for protons.

Asymmetry is largely unaffected by wide variations in split factors.

Predicted asymmetries for various hadrons depend mainly on valence quark content.

Abstract

We derive a Menta Carlo method to simulate kinetic equilibrium ensemble, and get the same sea-quark flavor asymmetry as the linear equations method in statistical model. In the recent paper, we introduce the spilt factors to indicate the quarks' or gluons' spilt $g\rightarrow q\bar{q}(gg)$ and $q\rightarrow qg$ ability. We obtain the almost fixed asymmetry value $0.12-0.16$ which consists with experimental measurements for proton, when the spilt factors vary in a very wide range over four orders of magnitude. So, we proof the sea quark asymmetry can be derived from statistic principle and not sensitively dependents on the dynamics details of quarks and gluons in proton. We also apply the Menta Carlo method of statistical model to predict the sea-quark asymmetry values for $K$ mesons, octet baryons $\Sigma$,$\Xi$ and $\Delta$ baryons, even for exotic pentaquark states. All these asymmetry values just only dependent on the valence quarks numbers in those hadrons.