Electromagnetic and weak decay of singly Heavy Baryons (Qqq)

TL;DR

This paper investigates electromagnetic and weak decay processes of singly heavy baryons using the Hypercentral Constituent Quark Model, calculating masses, transition moments, decay widths, and Isgur-Wise functions.

Contribution

It provides new calculations of decay properties and form factors of heavy baryons within a specific quark model framework, including comparisons with existing results.

Findings

Calculated ground state masses of bottom and charmed baryons.

Determined transition magnetic moments and radiative decay widths.

Evaluated Isgur-Wise function parameters and branching ratios.

Abstract

The heavy-to-heavy exclusive semileptonic transitions of singly heavy baryons (SHBs) are investigated within the framework of the Hypercentral Constituent Quark Model (hCQM). The six-dimensional hyperradial Schr\"{o}dinger equation is solved in the variational approach to calculate the ground state masses of bottom and charmed baryons. The transition magnetic moments and radiative $M1$ decay widths are calculated using the spin-flavour wave function and the effective quark masses of constituent baryon. The Isgur-Wise function (IWF) is determined at zero recoil to compute the $b \rightarrow c$ semileptonic decay. Additionally, the branching ratios, as well as the slope and convexity parameters of IWF are evaluated and compared with results from other studies.