Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory

TL;DR

This paper uses chiral effective field theory to analyze the $Z_{cs}(3985)$ state, supporting its molecular nature and predicting a complete spectrum of related charged heavy quarkoniumlike states.

Contribution

It provides a theoretical framework for understanding $Z_{cs}(3985)$ as a molecular resonance and predicts unobserved states within the same spectrum.

Findings

$Z_{cs}(3985)$ is consistent with a $ar{D}_sD^ ext{*}/ar{D}^ ext{*}_sD$ molecular resonance.

The study predicts resonance parameters for unobserved states in various heavy meson systems.

A complete spectrum of charged charmoniumlike and bottomoniumlike states is established.

Abstract

We study the newly observed charmoniumlike state $Z_{cs}(3985)$ in the framework of chiral effective field theory. The interaction kernel of the $\bar{D}_sD^\ast/\bar{D}^\ast_sD$ system is calculated up to the next-to-leading order with the explicit chiral dynamics. With the fitted parameters extracted from the $Z_c(3900)$ data as inputs, the mass, width and event distributions of the $Z_{cs}(3985)$ are very consistent with the experimental measurements. Our studies strongly support the $Z_{cs}(3985)$ as the partner of the $Z_c(3900)$ in the SU(3)$_f$ symmetry and the $\bar{D}_sD^\ast/\bar{D}^\ast_sD$ molecular resonance with the same dynamical origin as the other charged heavy quarkoniumlike states. We precisely predict the resonance parameters of the unobserved states in $\bar{D}_s^\ast D^\ast$, $B^\ast_s \bar{B}/B_s\bar{B}^\ast$ and $B_s^\ast\bar{B}^\ast$ systems, and establish a complete spectrum of the charged charmoniumlike and bottomoniumlike states with the $I(J^P)$ quantum numbers $1(1^+)$ and $\frac{1}{2}(1^+)$, respectively.