An unitarized model for tetraquarks with a color flip-flip potential

TL;DR

This paper develops a color-dependent flip-flop potential for tetraquarks, transforming it into a meson interaction model, and identifies bound and resonant tetraquark states, especially focusing on exotic configurations.

Contribution

It introduces a novel unitarized model for tetraquarks based on a color flip-flip potential, enabling the study of exotic states within a microscopic quark framework.

Findings

Identification of tetraquark bound states and resonances.

Analysis of exotic $qqar{Q}ar{Q}$ systems.

Results on crypto-exotic $qQar{q}ar{Q}$ states.

Abstract

In this work, a color structure dependent flip-flop potential is developed for the two quarks and two antiquarks system. Then, this potential is applied to a microscopic quark model which, by integrating the internal degrees of freedom, is transformed into a model of mesons with non-local interactions. With this, the T matrix for the system is constructed and meson-meson scattering is studied. Tetraquarks states, interpreted as poles of of the T matrix, both bound states and resonances, are found. Special emphasis is given to the truly exotic $qq\bar{Q}\bar{Q}$ system, but some results for the crypto-exotic $qQ\bar{q}\bar{Q}$ are also presented.