Detailed Balance and Spin Content of {\Lambda} using Statistical Model

TL;DR

This paper models the spin structure of the lambda hyperon using a statistical approach based on detailed balance, calculating various properties and comparing results with other models.

Contribution

It extends the statistical model for hadron structure by including additional subprocesses and applies it to lambda hyperon spin and related properties.

Findings

Calculated quark spin distribution and magnetic moments.

Matched results with chiral quark soliton model.

Provided probabilities for Fock states of lambda.

Abstract

In this study, we assume the hadrons as an ensemble of quark-gluon Fock states and apply statistical effects to explain the spin distribution of quarks for lambda hyperon. We extend the principle of detailed balance given by Zhang et al. [9] to calculate the probability of every Fock state in lambda. Using these probabilities, we have calculated quark distribution of spin, hyperon weak decay constant, SU(3) reduced matrix elements and their ratio and magnetic moment etc. using the statistical model proposed in ref.[17]. The extension of statistical model comes here with inclusion of more sub processes like etc. Finally the matching of our results with other models like chiral quark soliton model has also been analyzed.