Bosonic algebraic approach applied to the [QQ] [(Q)over-bar(Q)over-bar] tetraquarks

The exact eigenenergies of the T-4c = [cc][(c) over bar(c) over bar], T-4b = [bb][(b) over bar(b) over bar], and T-2[bc] = [bc] [(b) over bar(c) over bar] tetraquarks are calculated within the extended transitional Hamiltonian approach, in which the so-called Bethe ansatz within an infmite-dimensional Lie algebra is used. We fit the parameters appearing in the transitional region from phenomenology associated with potential candidates of tetraquarks. The rotation and vibration transitional theory seems to provide a better description of heavy tetraquarks than other attempts within the same formalism. Our results indicate that the pairing strengths are large enough to provide binding; an extended comparison with the current literature is also performed.

Automated summary

In this study, the exact eigenenergies of T-4c, T-4b, and T-2[bc] tetraquarks were calculated using the extended transitional Hamiltonian approach. The results indicate that the rotation and vibration transitional theory provides a better description of heavy tetraquarks. A comparison with the current literature was also performed.