Ground state heavy baryon production in a relativistic quark-diquark model

TL;DR

This paper develops a relativistic quark-diquark model to analytically calculate fragmentation functions for producing various heavy baryons, including singly, doubly, and triply heavy states, and compares results with perturbative calculations.

Contribution

It introduces a comprehensive relativistic quark-diquark model for heavy baryon production and provides analytic expressions applicable to different heavy baryon systems.

Findings

Results agree with perturbative calculations within parameter ranges.

Analytic forms are derived for fragmentation functions of heavy baryons.

Detailed discussion on the production of specific baryons like $ ext{Ω}_{bbc}$, $ ext{Ω}_{bcc}$, and $ ext{Ω}_{ccc}$.

Abstract

We use current-current interaction to calculate the fragmentation functions to describe the production of spin-1/2, spin-1/2$'$ and spin-3/2 baryons with massive constituents in a relativistic quark-diquark model. Our results are in their analytic forms and are applicable for singly, doubly and triply heavy baryons. We discuss the production of $\Omega_{bbc}$, $\Omega_{bcc}$ and $\Omega_{ccc}$ baryons in some detail. The results are satisfactorily compared with those obtained for triply heavy baryons calculated in a perturbative regime within reasonable values of the parameters involved.