Coupled-channel $D^\ast K^\ast -D_s^\ast \rho$ interactions and the origin of $T_{c\bar{s}0}(2900)$

TL;DR

This paper investigates the interactions between $D^*K^*$ and related channels using a coupled-channel approach, aiming to explain the origin of the observed $T_{car{s}0}(2900)$ resonance and predict related states.

Contribution

It introduces a coupled-channel formalism with relativistic corrections to explain the $T_{car{s}0}(2900)$ and predicts additional resonances in related sectors.

Findings

A sizable attraction in the $J=0$ isospin triplet sector can form a bound or virtual state.

Reproduction of the $T_{car{s}0}(2900)$ pole mass constrains model parameters.

Predicted resonances in other sectors can guide future experimental searches.

Abstract

Motivated by the recent observation of $T_{c\bar{s}0}(2900)^0$ and $T_{c\bar{s}0}(2900)^{++}$ in the $D_s \pi$ invariant mass distributions, we investigate $D^{\ast}K^{\ast}$ interactions in a coupled-channel approach. We show that the relativistic corrections could be significant for the energy far away from the threshold. Within the hidden local symmetry formalism, a sizable attraction interaction is found in the $J=0$ isospin triplet sector that can form a bound or a virtual state, which is consistent with the experimentally observed $T_{c\bar{s}0}(2900)$. By reproducing a $D_s^*\rho$-$D^*K^*$ bound/virtual state with the pole mass equal to that of the $T_{c\bar{s}0}(2900)$ measured by LHCb in the sector $(I,J)=(1,0)$, we determine the unknown parameter in the loop function, and then search for possible poles in the sectors of $I=1$, $J=1,$ 2 and $I=0$, $J=0$, 1, 2. The predicted resonances provide a useful reference for the future experimental studies of the $(C,S)=(1,1)$ systems and can be also helpful to unravel the nature of the $T_{c\bar{s}0}(2900)$.10