Pair structure of heavy tetraquark systems

Abstract

We study the pair description of heavy tetraquark systems $|QQ\bar{Q}\bar{Q}⟩$ 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 Schrödinger 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.

Comments: 5 pages, 3 figures, accepted by Physical Review D, in production