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

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.