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

TL;DR

This paper investigates decay behaviors of fully-bottom and fully-charm tetraquark states, providing predictions for their observable decay channels and relative branching ratios to guide experimental searches.

Contribution

It offers a theoretical analysis of decay patterns and relative branching ratios of fully-bottom and fully-charm tetraquark states using the diquark-antidiquark model and Fierz rearrangement.

Findings

$C=+$ states can be searched in $^+ ^-$ $  (1S)$ and $^+ ^-$ $  (2S)$ channels with ratio ~0.4.

$C=-$ states can be searched in $^+ ^-$ $  (1S)$ and $^+ ^-$ $  (2S)$ channels with ratio ~0.4.

The decay of $X(6900)$ into $J/ (2S)$ relative to $J/ $ is approximately 0.1.

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 $\mu^+ \mu^- \Upsilon(1S)$ and $\mu^+ \mu^- \Upsilon(2S)$ channels with the relative branching ratio $\mathcal{B}(X \to \mu\mu \Upsilon(2S)) / \mathcal{B}(X \to \mu \mu \Upsilon(1S)) \approx 0.4$. 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 $\mathcal{B}(X \to \mu\mu \eta_b(2S)) / \mathcal{B}(X \to \mu \mu \eta_b(1S)) \approx 0.4$. We also reanalysis the fully-charm tetraquark states, and study the $X(6900)$ decay into the $J/\psi \psi(2S)$ channel to obtain the relative branching ratio $\mathcal{B}(X \to J/\psi \psi(2S)) / \mathcal{B}(X \to J/\psi J/\psi) \approx 0.1$.