Mass Spectra and Semileptonic Decays of Doubly Heavy $ \Xi $ and $ \Omega $ Baryons

TL;DR

This paper calculates the mass spectra of doubly heavy $\\Xi$ and $\Omega$ baryons using a non-relativistic quark model, introduces a universal Isgur-Wise function, and studies their semileptonic decay properties.

Contribution

It provides new mass spectrum calculations and a universal transition form factor for doubly heavy baryons, along with decay width estimates in a unified framework.

Findings

Mass difference between $\Omega$ and $\Xi$ baryons is approximately 178 MeV.

The universal Isgur-Wise function is introduced for doubly heavy baryon transitions.

Semileptonic decay widths and branching fractions are estimated and compared with other models.

Abstract

In the framework of a non-relativistic quark model, the mass spectra of the ground and excited states of doubly heavy $\Xi$ and $\Omega$ baryons are calculated. We estimate the mass difference between the $ \Omega $ and corresponding $ \Xi $ baryons as $M_{\Omega}-M_{\Xi}\simeq178 $ MeV for all the states containing $ cc,~bc $, or $ bb $ quarks. A simple form of the universal Isgur-Wise function, as the transition form factor between the doubly heavy baryons, is introduced. Working in the close-to-zero recoil limit, we investigate the $ b \rightarrow c $ semileptonic decay widths and branching fractions of the doubly heavy baryons. The obtained results are compared with other theoretical predictions.