Mass-spectroscopy of [$$bb][{\bar{b}}{\bar{b}}$$] and [$$bq][{\bar{b}}{\bar{q}}$$] tetraquark states in a diquark–antidiquark formalism

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