Pair structure of heavy tetraquark systems

We study the pair description of heavy tetraquark systems vertical bar QQQ > in the frame of a nonrelativistic potential model. By taking the two heavy quark pairs ((Q) over bar(Q) over bar) as colored clusters, the four-quark Schrodinger 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.

Automated summary

In this study, the pair description of heavy tetraquark systems was examined within a nonrelativistic potential model. By treating heavy quark pairs as colored clusters, the four-quark Schrodinger equation was simplified to a two-pair equation. The detailed pair potential between the heavy quark pairs was extracted by considering all Casimir scaling potentials and using the lattice QCD simulated mixing angle between the two color-singlet states.