Baryons and tetraquarks using instanton-induced interactions

TL;DR

This paper investigates the spectra of heavy quarkonia, baryons, and tetraquarks using both perturbative and non-perturbative instanton-induced interactions, employing hyper-spherical approximation and effective potentials.

Contribution

It introduces a comprehensive analysis of hadron spectra incorporating instanton effects with hyper-spherical methods, extending understanding of non-perturbative QCD interactions.

Findings

Spectra are well described by Cornell and instanton-induced potentials.

Splittings between s-shell levels are insensitive to quark masses.

Instanton effects provide a satisfactory match to observed spectra.

Abstract

We analyze some aspects of the perturbative and non-perturbative interactions in the composition of heavy quarkonia, heavy and light baryons ($ccc$ and $uuu$ ones), as well as all charm tetraquarks ($cc\bar c\bar c$). Using the hyper-spherical approximation and effective radial potentials (in 6 and 9 dimensions, respectively) we derive their spectra and wave functions. In all of the cases, we focus on the splittings between the s-shell levels, which are remarkably insensitive to the quark masses, but proportional to the effective interaction potentials. We use the traditional Cornell-like potentials, and the non-perturbative instanton-induced static potentials, from correlators of two, three and four Wilson lines, and find rather satisfactory description of spectra in all cases.