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arXiv · 2308.05638

Baryons and tetraquarks using instanton-induced interactions

Nicholas Miesch·Edward Shuryak·Ismail Zahed
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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.

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Nicholas Miesch, Edward Shuryak, Ismail Zahed. 2023-08-10. Baryons and tetraquarks using instanton-induced interactions. https://arxiv.org/abs/2308.05638

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