Predicition for the decay width of a charged state near the $D_s\bar{D}^*/D^*_s\bar{D}$ threshold

TL;DR

This paper predicts the decay widths of a recently proposed charged state near the $D_sar{D}^*/D^*_sar{D}$ threshold using QCD sum rules, aiding experimental searches for this exotic hadron.

Contribution

It provides the first theoretical estimates of decay widths for the $Z_{cs}^+$ state using QCD sum rules, supporting its identification as a strange partner of $Z_c(3900)$.

Findings

Predicted decay widths for $Z_{cs}^+ o J/\psi K^+$, $ o \eta_c K^{*+}$, and $ o D_s^+ar{D}^{*0}$ channels.

Supports the existence of $Z_{cs}^+$ as a threshold state near $D_sar{D}^*/D^*_sar{D}$.

Provides theoretical guidance for experimental detection of the $Z_{cs}^+$.

Abstract

Very recently it was predicted the existence of a charged state near the $D_s\bar{D}^*/D^*_s\bar{D}$ threshold. This state, that we call $Z_{cs}^+$, would be the strange partner of the recently observed $Z_c^\pm(3900)$. Using standard techniques of QCD sum rules, we evaluate the three-point function for the vertices $Z_{cs}^+ \, J/\psi \, K^+$, $Z_{cs}^+ \, \eta_c \, K^{*+}$ and $Z_{cs}^+ \, D_s^+\bar{D}^{*0}$ and we make predictions for the corresponding decay widths in these channels.