First Radial Excitations of Baryons in a Contact Interaction: Mass Spectrum

TL;DR

This paper calculates the masses of the first radial excitations of various baryons using a contact interaction model, providing predictions that align with existing data and guiding future experiments.

Contribution

It introduces a novel approach to compute baryon radial excitations in a quark-diquark framework with contact interactions, including both quark-diquark and diquark intrinsic excitations.

Findings

Mass spectra conform to established spacing rules.

Results agree with some experimental candidates.

Model effectively predicts heavy baryon excitations.

Abstract

We compute masses of twenty positive parity first radial excitations of spin-$1/2$ and $3/2$ baryons composed of u,d,s,c and b quarks in a quark-diquark picture within a contact interaction model. These excitations comprise of two elements: one characterized by a zero in the Faddeev amplitude, representing a radial excitation of the quark-diquark system and the other marked by a zero in the diquark's Bethe-Salpeter amplitude, corresponding to an intrinsic excitation of the diquark correlation. Wherever possible, we compare our results with other models and/or experiment. We verify that the masses obtained through our model conform to the spacing rules for all the baryons studied, whether light or heavy and whether of spin 1/2 or 3/2. The computed masses do not just offer a guide to the future experimental searches but also compare well with the existing candidates for the possible radial excitations of some heavy baryons.