Decay behaviors of the fully-bottom and fully-charm tetraquark states

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 ${\mu }^{+}{\mu }^{-}\mathrm{{\rm Y}}(1S)$ and ${\mu }^{+}{\mu }^{-}\mathrm{{\rm Y}}(2S)$ channels with the relative branching ratio $\mathcal{B}(X\to \mu \mu \mathrm{{\rm Y}}(2S))\mathrm{/}\mathcal{B}(X\to \mu \mu \mathrm{{\rm Y}}(1S))\approx 0.4$. Our results also suggest that the $C=-$ states can be searched for in the ${\mu }^{+}{\mu }^{-}{\eta }_b(1S)$ and ${\mu }^{+}{\mu }^{-}{\eta }_b(2S)$ channels with the similar relative branching ratio $\mathcal{B}(X\to \mu \mu {\eta }_b(2S))\mathrm{/}\mathcal{B}(X\to \mu \mu {\eta }_b(1S))\approx 0.4$. We also reanalysis the fully-charm tetraquark states, and study the $X(6900)$ decay into the $J\mathrm{/}\psi \psi (2S)$ channel to obtain the relative branching ratio $\mathcal{B}(X\to J\mathrm{/}\psi \psi (2S))\mathrm{/}\mathcal{B}(X\to J\mathrm{/}\psi J\mathrm{/}\psi )\approx 0.1$.