Decays of fully beauty scalar tetraquarks to $B_{q}\overline{B}_{q}$ and $B_{q}^{\ast}\overline{B}_{q}^{\ast}$ mesons

Abstract: Decays of the fully beauty four-quark structures $X_{\mathrm{4b}}$ and $T_{ \mathrm{4b}}$ to $B$ meson pairs are investigated in the framework of QCD three-point sum rule method. We model the scalar exotic mesons $X_{\mathrm{4b }}$ and $T_{\mathrm{4b}}$ as diquark-antidiquark systems composed of the axial-vector and pseudoscalar diquarks, respectively. The masses $m=(18540 \pm 50)~\mathrm{MeV}$ and $\widetilde{m}=(18858 \pm 50)~\mathrm{MeV}$ of these compounds calculated in our previous articles, fix possible decay channels of these particles. In the present work, we consider their decays to $B_{q}\overline{B}{q}$ and $B{q}^{\ast }\overline{B}{q}^{\ast } (q=u,d,s,c)$ mesons. In the case of $X{\mathrm{4b}}$ the mass of which is below the $2\eta_{b}$ threshold, these channels determine essential part of its full width $\Gamma_{\mathrm{4b}}$. The tetraquark $T_{\mathrm{4b}}$ can decay to the pair $\eta_{b}\eta_{b}$, therefore partial widths of processes with $B (B^{\ast})$ mesons in the final state permit us to refine our estimate for the full width of this particle. The predictions $\Gamma_{ \mathrm{4b}}=(9.6\pm 1.1)~\mathrm{MeV}$ and $\widetilde{\Gamma }_{\mathrm{4b} }^{\mathrm{Full}}=(144 \pm 29)~\mathrm{MeV}$ obtained in this article can be used in future experimental investigations of four $b$-quark mesons.