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

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 $D_{s1}^{+}(2460)$.

Comments: 8 pages, 7 figures