Effects of a spin-flavour dependent interaction on light-flavoured baryon helicity amplitudes

TL;DR

This study investigates how a flavor-dependent interaction influences the helicity amplitudes of light-flavored baryons within a relativistic quark model, comparing different models and experimental data to understand baryon resonance structures.

Contribution

It introduces a novel relativistic quark model with a flavor-dependent force and compares its predictions to previous models and experimental data for baryon helicity amplitudes.

Findings

Model C improves agreement with experimental data over model A.

Helicity amplitudes for specific resonances are better described by the new model.

The flavor-dependent interaction significantly affects baryon resonance predictions.

Abstract

This paper is a continuation of previous work about the effects of a phenomenological flavour dependent force in a relativistically covariant constituent quark model based on the Salpeter equation on the structure of light-flavoured baryon resonances. Here the longitudinal and transverse helicity amplitudes as studied experimentally in the electro-excitation of nucleon- and $\Delta$ resonances are calculated. In particular the amplitudes for the excitation of three and four star resonances as calculated in a previous model $\mathcal A$ are compared to those of the novel model $\mathcal C$ as well as to existing and partially new experimental data such as e.g. determined by the CB-ELSA collaboration. A brief discussion of some improvements to model $\mathcal C$ is given after the introduction.