More about the light baryon spectrum

TL;DR

This paper investigates the light baryon spectrum using a quark-diquark model with self-consistently calculated non-pointlike diquarks, analyzing angular momentum content and addressing complex eigenvalues in Bethe-Salpeter equations.

Contribution

It introduces a relativistic quark-diquark approach with self-consistent diquark modeling and explores the angular momentum and eigenvalue properties of baryons.

Findings

Baryons can have all angular momentum values compatible with their spin.

Relativistic effects remove the nonrelativistic restriction P=(-1)^L.

A method to eliminate complex eigenvalues from the spectrum is proposed.

Abstract

We discuss the light baryon spectrum obtained from a recent quark-diquark calculation, implementing non-pointlike diquarks that are self-consistently calculated from their Bethe-Salpeter equations. We examine the orbital angular momentum content in the baryons' rest frame and highlight the fact that baryons carry all possible values of L compatible with their spin, without the restriction P=(-1)^L which is only valid nonrelativistically. We furthermore investigate the meaning of complex conjugate eigenvalues of Bethe-Salpeter equations, their possible connection with 'anomalous' states, and we propose a method to eliminate them from the spectrum.