Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks

TL;DR

This paper investigates the spectroscopic properties of double-strangeness molecular tetraquarks using a dynamical one-boson-exchange model, identifying promising candidates and analyzing their decay behaviors and internal structures.

Contribution

It introduces a comprehensive dynamical analysis of $ar K^{(*)} ar K^{(*)}$ systems, predicting specific molecular tetraquark states with detailed decay and structural properties.

Findings

Identified $I(J^P)=0(1^+)$ $ar K ar K^*$ and $ar K^* ar K^*$ as likely molecular tetraquark candidates.

Estimated their strong decay widths and radiative decay properties.

Provided insights into their magnetic moments and internal structures.

Abstract

Inspired by recent advances in the study of the $K^{(*)} \bar K^{(*)}$ molecular tetraquarks and the $H$-dibaryon, we focus on the spectroscopic properties of the $\bar K^{(*)} \bar K^{(*)}$ 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$\ddot{\rm o}$dinger equation, we identify the $I(J^P)=0(1^+)$ $\bar K \bar K^*$ and $I(J^P)=0(1^+)$ $\bar K^* \bar K^*$ 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.