Magnetic moments of $J^P=\frac{3}{2}^+$ decuplet baryons using effective quark masses in chiral constituent quark model

TL;DR

This paper calculates the magnetic moments of $J^P=3/2^+$ decuplet baryons using the chiral constituent quark model, considering valence, sea quark contributions, and orbital effects, with improved results including effective quark masses.

Contribution

It introduces a detailed calculation of baryon magnetic moments in the $ ext{χ}$CQM, incorporating effective quark masses and orbital angular momentum, enhancing agreement with limited experimental data.

Findings

Model predictions align well with experimental data.

Inclusion of effective quark masses improves results.

Sea quark and orbital contributions are significant.

Abstract

The magnetic moments of $J^P=\frac{3}{2}^+$ decuplet baryons have been calculated in the chiral constituent quark model ($\chi$CQM) with explicit results for the contribution coming from the valence quark polarizations, sea quark polarizations, and their orbital angular momentum. Since the $J^P=\frac{3}{2}^+$ decuplet baryons have short lifetimes, the experimental information about them is limited. The $\chi$CQM has important implications for chiral symmetry breaking as well as SU(3) symmetry breaking since it works in the region between the QCD confinement scale and the chiral symmetry breaking scale. The predictions in the model not only give a satisfactory fit when compared with the experimental data but also show improvement over the other models. The effect of the confinement on quark masses has also been discussed in detail and the results of $\chi$CQM are found to improve further with the inclusion of effective quark masses.