Decay behaviors of the fully bottom and fully charm tetraquark states

Abstract

We study the decay behaviors of the fully bottom tetraquark states within the diquark-antidiquark picture and calculate their relative branching ratios through the Fierz rearrangement. Our results suggest that the $C=+$ states can be searched for in the ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}\mathrm{\ensuremath{\Upsilon}}(1S)$ and ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}\mathrm{\ensuremath{\Upsilon}}(2S)$ channels with the relative branching ratio $\mathcal{B}(X\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\mu}\mathrm{\ensuremath{\Upsilon}}(2S))/\mathcal{B}(X\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\mu}\mathrm{\ensuremath{\Upsilon}}(1S))\ensuremath{\approx}0.4$. Our results also suggest that the $C=\ensuremath{-}$ states can be searched for in the ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\eta}}_{b}(1S)$ and ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\eta}}_{b}(2S)$ channels with the similar relative branching ratio $\mathcal{B}(X\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\mu}{\ensuremath{\eta}}_{b}(2S))/\mathcal{B}(X\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\mu}{\ensuremath{\eta}}_{b}(1S))\ensuremath{\approx}0.4$. We also reanalyze the fully charm tetraquark states and study the $X(6900)$ decay into the $J/\ensuremath{\psi}\ensuremath{\psi}(2S)$ channel to obtain the relative branching ratio $\mathcal{B}(X\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\psi}(2S))/\mathcal{B}(X\ensuremath{\rightarrow}J/\ensuremath{\psi}J/\ensuremath{\psi})\ensuremath{\approx}0.1$.

Topics & Concepts