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arXiv · 2409.06057

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

L. X. Gutiérrez-Guerrero·Alfredo Raya·L. Albino·R. J. Hernández-Pinto
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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.

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L. X. Gutiérrez-Guerrero, Alfredo Raya, L. Albino, R. J. Hernández-Pinto. 2024-09-09. First Radial Excitations of Baryons in a Contact Interaction: Mass Spectrum. https://arxiv.org/abs/2409.06057

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