Magnetic moments of JP = 3/2+ decuplet baryons using statistical model

TL;DR

This paper develops a statistical model incorporating sea quark-gluon Fock states to calculate magnetic moments of JP=3/2+ decuplet baryons, achieving good agreement with experimental data.

Contribution

It introduces a novel statistical approach with detailed balance to include sea quark-gluon states in baryon magnetic moment calculations.

Findings

Scalar-tensor sea dominates over vector sea.

Model results align well with experimental data for Delta++ and Omega-.

Limited gluon number due to energy constraints.

Abstract

A suitable wave function for baryon decuplet is framed with inclusion of sea containing quark- gluon Fock states. Relevant operator formalism is applied to calculate magnetic moments of JP = 3 2 + baryon decuplet. Statistical model assumes decomposition of baryonic state in various quark-gluon Fock states such as jqqqijgi; jqqqijggi; jqqqijgggi with possibility gluon emitting qq pairs condensates due to the subprocesses like g , qq; g , gg and g , qg where qq = uu; dd; ss. Statistical approach and detailed balance principle in combination is used to find the relative probabilities of these Fock states in avor, spin and color space. The total number of partons (sea) in this formalism are restricted to three gluons due to limited free energy of gluon and suppressed number of strange quark-antiquark pairs. The combined approach is used to calculate the magnetic moments, importance of strangeness in the sea (scalar, vector and tensor). Our approach has confirmed the scalar-tensor sea dominancy over vector sea. Various modifications in the model are used to check the validity of statistical approach. The results are matched with theoretical data available. Good consistency with the experimental data have been achieved for Delta++, Delta+ and Omega-.