Pair structure of heavy tetraquark systems

TL;DR

This paper investigates the structure of heavy tetraquark systems by modeling them as two interacting heavy quark pairs using a non-relativistic potential approach, incorporating lattice QCD data to derive pair potentials.

Contribution

It introduces a simplified two-pair Schrödinger equation for heavy tetraquarks, integrating lattice QCD results to determine the interaction potential between pairs.

Findings

Derived a detailed pair potential between heavy quark pairs.

Reduced the four-quark problem to a two-pair equation under specific assumptions.

Incorporated lattice QCD mixing angles into potential calculations.

Abstract

We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger equation is reduced to a two-pair equation, when the inner motion inside the pairs can be neglected. Taking into account all the Casimir scaling potentials between two quarks and using the lattice QCD simulated mixing angle between the two color-singlet states for the tetraquark system, we extracted a detailed pair potential between the two heavy quark pairs.