Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks

Abstract

Inspired by recent advances in the study of the $K^{(\ast )}{\bar{K}}^{(\ast )}$ molecular tetraquarks and the $H$-dibaryon, we focus on the spectroscopic properties of the ${\bar{K}}^{(\ast )}{\bar{K}}^{(\ast )}$ systems, which exhibit exotic flavor quantum number of $ss\bar{q}\bar{q}$. A dynamical analysis is performed using the one-boson-exchange model to describe the effective interactions for these systems, accounting for both $S$-$D$ wave mixing and coupled-channel effects. By solving the coupled-channel Schr$\ddot{\mathrm{o}}$dinger equation, we identify the $I(J^P)=0(1^{+})$ $\bar{K}{\bar{K}}^{\ast }$ and $I(J^P)=0(1^{+})$ ${\bar{K}}^{\ast }{\bar{K}}^{\ast }$ states as the most likely candidates for double-strangeness molecular tetraquarks. Furthermore, we estimate their strong decay behaviors based on the effective Lagrangian approach, with several channels exhibiting considerable decay widths. Meanwhile, we investigate their magnetic moments and M1 radiative decay widths, shedding light on their inner structures, within the constituent quark model. Finally, we encourage experimentalists to focus on these predicted double-strangeness molecular tetraquark candidates, particularly in $B$ meson decays. Such efforts could pave the way for establishing the molecular tetraquark states in the light-quark sector.

arXiv comment16 pages, 4 figures, and 5 tables

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• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Predicting charmed-strange molecular tetraquarks with $K^{(\ast )}$ and $T$-doublet charmed or anticharmed meson