Electromagnetic form factors of $\Omega^-$ with the meson cloud in the spacelike and timelike regions

TL;DR

This paper calculates the electromagnetic form factors of the Omega minus baryon across spacelike and timelike regions, incorporating meson cloud effects, and compares results with experimental data and other models.

Contribution

It introduces a comprehensive quark-diquark model including meson cloud effects to analyze Omega minus form factors in both energy regions.

Findings

Magnetic moment agrees with experimental data.

Meson cloud effects are significant across all energy regions.

Effective form factors match CLEO and BESIII measurements.

Abstract

We present comprehensive calculations of the electromagnetic form factors, including the charge, magnetic-dipole, electric-quadrupole and magnetic-octupole form factors, of the $\Omega^-$ in the spacelike region using the quark-diquark approach, incorporating the effect of the meson cloud. The obtained magnetic moment is in agreement with the experimental measurement and the electromagnetic radii are comparable with other model calculations. It is found that the meson cloud effect remains almost unchanged as the energy becomes high and this feature implies that the meson cloud should be considered in all the energy region. Moreover, the asymptotic relations allow us to extend the electromagnetic form factors from the spacelike region to the timelike region, and then the effective form factor is almost identical with the data from CLEO and BESIII. Finally, polarization properties of the final state $\Omega^-$ in the $e^+ e^- \rightarrow \Omega^- \bar{\Omega}^+$ process with the unpolarized initial states are also investigated.