Masses and Magnetic moments of Triply Heavy Flavour Baryons in Hypercentral Model

TL;DR

This paper calculates the masses and magnetic moments of triply heavy baryons using a hypercentral model with a Coulomb plus power potential, analyzing the effects of potential power index on mass predictions.

Contribution

It introduces a hypercentral approach with a Coulomb plus power potential to compute baryon masses and magnetic moments without free parameters, exploring the potential's power index effects.

Findings

Masses saturate beyond power index p>1.0

Magnetic moments computed without free parameters

Mass predictions align with expected physical trends

Abstract

Triply heavy flavour baryons are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index $p$. The ground state ($J^P={1/2}^+$ and ${3/2}^+$) masses of heavy flavour baryons are computed for different power index, $ p$ starting from 0.5 to 2.0. The predicted masses are found to attain a saturated value with respect to variation in $p$ beyond the power index $p>1.0$. Using the spin-flavour structure of the constituting quarks and by defining effective mass of the confined quarks within the baryons, the magnetic moments are computed with no additional free parameters.