Electric Quadrupole and Magnetic Octupole Moments of the Light Decuplet Baryons Within Light Cone QCD Sum Rules

TL;DR

This paper calculates the electric quadrupole and magnetic octupole moments of light decuplet baryons using light cone QCD sum rules, revealing nonspherical charge distributions and SU(3) flavor symmetry breaking.

Contribution

It provides the first calculation of these multipole moments within the light cone QCD sum rules framework, including comparison with quark model predictions.

Findings

Non-zero electric quadrupole and magnetic octupole moments indicate nonspherical charge distributions.

Sign of electric quadrupole moments varies, indicating prolate and oblate shapes.

Large SU(3) flavor symmetry breaking observed in baryon multipole moments.

Abstract

The electric quadrupole and magnetic octupole moments of the light decuplet baryons are calculated in the framework of the light cone QCD sum rules. The obtained non-vanishing values for the electric quadrupole and magnetic octupole moments of these baryons show nonspherical charge distribution. The sign of electric quadrupole moment is positive for $\Omega^-$, $\Xi^{*-}$, $\Sigma^{*-}$ and negative for $\Sigma^{*+}$, which correspond to the prolate and oblate charge distributions, respectively. A comparison of the obtained results with the predictions of non-covariant quark model which shows a good consistency between two approaches is also presented. Comparison of the obtained results on the multipole moments of the decuplet baryons containing strange quark with those of $\Delta$ baryons shows a large SU(3) flavor symmetry breaking.