Decay behaviors of the fully bottom and fully charm tetraquark states

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