Testing the doubly charged charm-strange tetraquarks

TL;DR

This paper investigates the properties and decay channels of doubly charged charm-strange tetraquarks using QCD sum rules, providing theoretical predictions for their masses, couplings, and decay widths to aid experimental searches.

Contribution

It presents the first comprehensive calculation of spectroscopic parameters and decay widths of doubly charged charm-strange tetraquarks within the QCD sum rule framework.

Findings

Masses and couplings of $Z_{\overline{c}s}$ states calculated.

Decay widths for various $Z_{\overline{c}s}$ decay channels estimated.

Predictions can guide experimental detection of these exotic states.

Abstract

The spectroscopic parameters and decay channels of the doubly charged scalar, pseudoscalar and axial-vector charm-strange tetraquarks $Z_{ \overline{c}s}=[sd][\overline u \overline c]$ are explored within framework of the QCD sum rule. The masses and current couplings of these diquark-antidiquark states are calculated by means of two-point correlation functions and taking into account the vacuum condensates up to eight dimensions. To compute the strong couplings of $Z_{\overline{c}s}$ states with $D,\ D_{s},\ D^{\ast},\ D_{s}^{\ast},\ D_{s1}(2460),\ D_{s0}^{\ast}(2317),\ \pi$ and $K$ mesons we use QCD light-cone sum rules and evaluate width of their $S$- and $P$-wave decays to a pair of negatively charged conventional mesons: For the scalar state $Z_{\overline{c}s}\to D_s \pi,\ DK, \ D_{s1}(2460)\pi$, for the pseudoscalar state $Z_{\overline{c}s} \to D_{s}^{\ast}\pi,\ D^{\ast}K, \ D_{s0}^{\ast}(2317)\pi,$ and for the axial-vector state $Z_{\overline{c}s} \to D_{s}^{\ast}\pi,\ D^{\ast}K,\ D_{s1}(2460)\pi$ decays are investigated. Obtained predictions for the spectroscopic parameters and decay widths of the $Z_{\overline{c}s}$ tetraquarks may be useful for experimental investigations of the doubly charged exotic hadrons.