Hidden and double charm-strange tetraquarks and their decays in a potential quark model

TL;DR

This paper systematically studies hidden and double charm-strange tetraquarks using a potential quark model, revealing their narrow decay widths, diverse color configurations, and potential for experimental detection.

Contribution

It provides a detailed analysis of the mass spectra, color-spin structures, and decay modes of $csar{c}ar{s}$ and $ccar{s}ar{s}$ tetraquarks, highlighting their stability and coupling characteristics.

Findings

Tetraquarks have narrow decay widths despite being above open flavor thresholds.

Color configurations vary, with $csar{c}ar{s}$ states dominated by either $|11 angle_{c}$ or $|88 angle_{c}$.

Double charm-strange states tend to have compatible color configurations, indicating they may be genuine color-singlet states.

Abstract

We carry out a systematic study of the $1S$-wave hidden and double charm-strange tetraquarks $cs\bar{c}\bar{s}$ and $cc\bar{s}\bar{s}$ in a nonrelativistic potential quark model framework with the explicitly correlated Gaussian method, and the mass spectra, color-spin configurations and possible decay modes are obtained. We find that although these states are all above their open flavor thresholds, their rearrangement decay widths are rather narrow which can be understood by the mismatching of the wave functions between the initial and final states. It implies that the tetraquarks of $cs\bar{c}\bar{s}$ and $cc\bar{s}\bar{s}$ may have a good chance to exist as genuine tetraquark states. It also shows that the color-spin configurations of the $cs\bar{c}\bar{s}$ and $cc\bar{s}\bar{s}$ systems are quite different. We find that for a physical state of $cs\bar{c}\bar{s}$ its color configurations can be dominated by either the $|11\rangle_{c}$ or $|88\rangle_{c}$ ones. It suggests that some hidden charm-strange tetraquark states may strongly couple to two color-singlet hadrons if the kinematics and dynamics allow. In contrast, we find that the color configurations $|11\rangle_{c}$ and $|88\rangle_{c}$ in a double charm-strange $cc\bar{s}\bar{s}$ state are rather compatible. It may suggest that an overall color-singlet tetraquark (i.e. a genuine color-singlet) should always play a role in the $T_{cc\bar{s}\bar{s}}$ states. Discussions taking into account some experimental candidates are presented, and suggestions on further experimental searches are also made.