The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks

Abstract

The exact eigenenergies of the T4c = [cc][cc], T 4b = [bb][ bb ], and T 2[bc] = [bc][ bc] tetraquarks are calculated within the extended transitional Hamiltonian approach, in which the so-called Bethe ansatz within an infinite-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.

An updated review of the new hadron states

“…Some new techniques were developed to study the fully-heavy tetraquark states in the past years, and we refer interested readers to Refs. [587,588,589,590,591,592,593,594,595,596] for detailed discussions.…”