Pionic and radiative transitions from $T_{c\bar{s}0}^+(2900)$ to $D_{s1}^+(2460)$ as a probe of the structure of $D_{s1}^+(2460)$

TL;DR

This paper investigates the transition widths from the $T_{car{s}0}^+(2900)$ to $D_{s1}^+(2460)$ in different structural models, proposing a ratio as a test to distinguish whether $D_{s1}^+(2460)$ is a molecular state or a conventional meson.

Contribution

It provides a comparative analysis of transition widths in molecular versus charmed-strange meson models of $D_{s1}^+(2460)$, suggesting a new experimental test for its structure.

Findings

Transition widths are larger in the molecular frame.

The ratio of specific decay widths differs significantly between models.

The ratio can serve as a probe for the $D_{s1}^+(2460)$ structure.

Abstract

In this work, we evaluated the widths of the pionic and radiative transitions from the $T_{c\bar{s}0}^{+}(2900)$ to the $D_{s1}^{+}(2460)$ in the $D_{s1}^{+}(2460)$ molecular frame and the $D_{s1}^{+}(2460)$ charmed-strange meson frame. Our estimations demonstrate that the transition widths in the $D_{s1}^{+}(2460)$ molecular frame are much larger than those in the the $D_{s1}^{+}(2460)$ charmed-strange meson frame. Specifically, the ratio of the widths of $\Gamma(T_{c\bar{s}0}^{+}(2900)\to D_{s1}^{+} \pi^{0})$ and $\Gamma(T_{c\bar{s}0}^{+}(2900)\to D^{+(0)}K^{0(+)})$ is estimated to be around 0.1 in the $D_{s1}^{+}(2460)$ charmed-strange meson frame, whereas the lower limit of this ratio is 0.67 in the $D_{s1}^{+}(2460)$ molecular frame. Thus, the aforementioned ratio could be employed as a tool for testing the nature of the $D_{s1}^{+}(2460)$.