The study of double-charm and double-strange tetraquarks

TL;DR

This paper investigates double-charm and double-strange tetraquarks using the QDCSM, predicting two resonance states around 4.3 GeV, with implications for future experimental searches.

Contribution

It introduces a coupled-channel stabilization method within the QDCSM to identify potential resonance states in double-charm and double-strange tetraquark systems.

Findings

Two resonance states around 4256 MeV and 4308 MeV were predicted.

No bound states were found in the studied systems.

Experimental signals near 4.3 GeV are suggested for further investigation.

Abstract

In the framework of the quark delocalization color screening model (QDCSM), we systematically investigate the double-charm and double-strange tetraquark systems $cc\bar{s}\bar{s}$ with two structures: meson-meson and diquark-antidiquark. The bound-state calculation shows that there is no any bound state in present work. However, by applying a stabilization calculation and coupling all channels of both two structures, two new resonance states with $IJ^{P}=00^{+}$ are obtained. One is more possible to be a molecular resonance state with a mass and width around $4256$ MeV and $60$ MeV, respectively; another one is more likely to be a compact resonance state with a mass and width around $4308$ MeV and $19$ MeV, respectively. Although no significant signals were observed in present experiment at the Belle collaboration, there is still some structures around $4.3$ GeV in the distributions of $M_{D^{+}_{s}D^{+}_{s}}$ and $M_{D^{*+}_{s}D^{*+}_{s}}$. We suggest that the experiment can be further tested with a larger amount of data.