Quark-diquark Systematics of Baryons: Spectral Integral Equations for Systems Composed by Light Quarks

TL;DR

This paper develops spectral integral equations for light-quark baryons using a quark-diquark model with axial-vector and scalar diquarks, incorporating confinement interactions to better understand baryon spectra.

Contribution

It introduces a novel spectral integral equation framework for light-quark baryons based on a two-diquark system, including confinement effects.

Findings

Spectral integral equations formulated for $qD^{0}_{0}$ and $qD^{1}_{1}$ states.

Inclusion of quark-diquark confinement interaction in the equations.

Framework applicable to baryon spectral analysis.

Abstract

For baryons composed by the light quarks ($q=u,d$) we write spectral integral equation using the notion of two diquarks: (i) axial--vector state, $D^{1}_{1}$, with the spin $S_D=1$ and isospin $I_D=1$ and (ii) scalar one, $D^{0}_{0}$, with the spin $S_D=0$ and isospin $I_D=0$. We present spectral integral equations for the $qD^{0}_{0}$ and $qD^{1}_{1}$ states taking into account quark--diquark confinement interaction.