Regular Article - Theoretical Physics
Mass-spectroscopy of  and  tetraquark states in a diquark–antidiquark formalism
Department of Physics, Sardar Vallabhbhai National Institute of Technology, 395007, Surat, Gujarat, India
Accepted: 2 October 2021
Published online: 18 October 2021
In this article, we utilise the non-relativistic potential model to calculate the mass-spectra of all bottom  and heavy-light bottom  (q = u,d) tetraquark states in diquark–antidiquark approximation. The four-body problem is reduced into two body problem by numerically solving the 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  and , respectively, are found to be between 18.7–19.4 GeV and 10.4–11.3 GeV, in which the masses of S-wave  states are less than the 2, , and 2 threshold. Additionally, we have investigated the and states in the current model and found that they are 150 MeV below the and thresholds.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021