Magnetic Dipole, Electric Quadrupole and Magnetic Octupole Moments of the $\Delta$ Baryons in Light Cone QCD Sum Rules

TL;DR

This paper calculates the magnetic dipole, electric quadrupole, and magnetic octupole moments of $ ext{ extbackslash}Delta$ baryons using light cone QCD sum rules, providing theoretical insights into their electromagnetic properties.

Contribution

It introduces a novel calculation of multiple electromagnetic moments of $ ext{ extbackslash}Delta$ baryons within the light cone QCD sum rules framework, expanding understanding beyond magnetic dipole moments.

Findings

Results are consistent with some phenomenological models.

Predictions align with lattice QCD data where available.

Provides new estimates for electric quadrupole and magnetic octupole moments.

Abstract

Due to the very short life time of the $\Delta$ baryons, a direct measurement on the electromagnetic moments of these systems is almost impossible in the experiment and can only be done indirectly. Although only for the magnetic dipole moments of $\Delta^{++}$ and $\Delta^{+}$ systems there are some experimental data, the theoretical, phenomenological and lattice calculations could play crucial role. In present work, the magnetic dipole ($\mu_{\Delta}$) , electric quadrupole ($Q_{\Delta}$) and magnetic octupole ($O_{\Delta}$) moments of these baryons are computed within the light cone QCD sum rules. The results are compared with the predictions of the other phenomenological approaches, lattice QCD and existing experimental data.