Excited $(70,L^+)$ baryon resonances in the relativistic quark model

TL;DR

This paper calculates the masses of specific excited baryon resonances using a relativistic quark model, employing dispersion relations and approximation methods, with results aligning well with experimental data.

Contribution

It introduces a relativistic three-quark equation framework for $(70,L^+)$ baryon multiplets and provides mass predictions consistent with experiments.

Findings

Mass values agree with experimental data

Method based on dispersion relations is effective

Provides a new approach for excited baryon states

Abstract

The masses of positive parity $(70,0^+)$ and $(70,2^+)$ nonstrange and strange baryons are calculated in the relativistic quark model. The relativistic three-quark equations of the $(70,L^+)$ multiplets are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The calculated mass values of the $(70,L^+)$ multiplets are in good agreement with the experimental ones.