Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^{\ast }(2317)$

Abstract

We estimate the partial widths for the radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}(2317)$ in a molecule scenario, in which the $D_{s1}(2460)$ and $D_{s0}^{\ast }(2317)$ are considered as hadronic molecule states of $DK$ and $D^{\ast }K$, respectively. The partial widths for the $D_{s1}(2460)\to D_{s0}^{\ast }(2317){\pi }^0$ and $D_{s1}(2460)\to D_{s0}^{\ast }(2317)\gamma$ are evaluated to be about $0.19\sim 0.22$ keV and $3.0\sim 3.1$ keV, respectively. In addition, the ratio of the $D_{s1}(2460)\to D_{s0}(2317)\gamma$ and $D_{s1}(2460)\to D_s^{\ast }{\pi }^0$ is estimated to be about $(6.6\sim 10.6)\times 10^{-2}$, which is safely under the measured upper limit.

Comments: 8 pages, 8 figures, 2 tables, published version