Mass-spectroscopy of [bb][(b)over-bar(b)over-bar] and [bq][(b)over-bar(q)over-bar] tetraquark states in a diquark-antidiquark formalism

In this article, we utilise the non-relativistic potential model to calculate the mass-spectra of all bottom [bb][(b) over bar(b) over bar] and heavy-light bottom [bq][(b) over bar(q) over bar] (q = u, d) tetraquark states in diquark-antidiquark approximation. The four-body problem is reduced into two body problem by numerically solving the Schrodinger equation using a Cornell-inspired potential along with relativistic correction term. The splitting structure of the tetraquark spectrum is described using spin-dependent terms (spin-spin, spin-orbit, and tensor). We have successfully calculated and predicted the masses of bottom mesons, diquarks and tetraquarks. The masses of S and P-wave tetraquark states [bb][(b) over bar(b) over bar] and [bq][(b) over bar(q) over bar], respectively, are found to be between 18.7-19.4 GeV and 10.4-11.3 GeV, in which the masses of S-wave [bb][(b) over bar(b) over bar] states are less than the 2 eta(b), eta(b)gamma, and 2 gamma threshold. Additionally, we have investigated the Z(b)(10610) and Z(b)(10650) states in the current model and found that they are 150 MeV below the BB* and B*B* thresholds.

Automated summary

In this article, a non-relativistic potential model is utilized to calculate the mass-spectra of bottom and heavy-light bottom tetraquark states. The four-body problem is simplified into a two-body problem using a diquark-antidiquark approximation, and the Schrodinger equation is solved numerically with a Cornell-inspired potential and relativistic correction term. Various spin-dependent terms are used to describe the splitting structure of the tetraquark spectrum. The calculated masses of bottom mesons, diquarks, and tetraquarks fall within specific energy ranges, and the Z(b)(10610) and Z(b)(10650) states are found to be below certain thresholds in the current model.