Baryons and tetraquarks using instanton-induced interactions
Abstract
We analyze some aspects of the perturbative and non-perturbative interactions in the composition of heavy quarkonia, heavy and light baryons ( and ones), as well as all charm tetraquarks (). 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.
Keywords
Cite
@article{arxiv.2308.05638,
title = {Baryons and tetraquarks using instanton-induced interactions},
author = {Nicholas Miesch and Edward Shuryak and Ismail Zahed},
journal= {arXiv preprint arXiv:2308.05638},
year = {2023}
}