Sea quark-gluon effect on the magnetic octupole deformation of decuplet baryons

TL;DR

This paper investigates the magnetic octupole moments of decuplet baryons using a statistical quark-gluon model, highlighting the role of sea quarks and symmetry breaking effects, and compares results with existing theories.

Contribution

It introduces a statistical framework incorporating sea quark effects and symmetry breaking to calculate magnetic octupole moments of decuplet baryons, providing new theoretical predictions.

Findings

Magnetic octupole moments vary in sign among baryons.

Scalar sea dominates the octupole moment contributions.

Results align well with existing theoretical models.

Abstract

The magnetic octupole moment of $J^P= \frac{3}{2}^+$ decuplet baryons are discussed in the statistical framework, treating baryons as an ensembles of quark-gluon Fock states. The probabilities associated with multiple strange and non-strange Fock states depict the importance of sea in spin, flavor $\&$ color space, which are further merged into statistical parameters. The individual contribution of valence and sea (scalar, vector and tensor) to the magnetic octupole moment is calculated. The symmetry breaking in both sea and valence is experienced by a suppression factor $k(1-C_l)^{n-1}$ and a mass correction parameter 'r', respectively. The factor $k(1-C_l)^{n-1}$ systematically reduces the probabilities of Fock states containing multiple strange quark pairs. The octupole moment value is obtained -ve for $\Delta^{++}, \Delta^+, \Sigma^{*+}$ and +ve for $\Delta^{-}, \Sigma^{*-}, \Xi^{*-}, \Omega^-$ baryons with the domination of scalar (spin-0) sea. The computed results are compared with existing theoretical predictions, demonstrating good consistency. These predictions may serve as valuable inputs for future high-precision experiments and theoretical explorations in hadron structure.