We investigate the possibility to study the charmed-strange mesons $D_{ s0}(2317)$ and $D_{ s1}(2460)$ by kaon-induced reactions on a proton target in an effective Lagrangian approach. The production process is described by the $t$-channel $D^{ 0}$ and $D^{ *0}$ exchanges, respectively. Our theoretical approach is based on the chiral unitary theory where the $D_{ s0}(2317)$ and $D_{ s1}(2460)$ resonances are dynamically generated. Within the coupling constants of the $D_{ s0}(2317)$ to $KD$ and $D_{ s1}(2460)$ to $KD^{ *}$ channels obtained from the chiral unitary theory, the total and differential cross sections of the $K^{ -}p\to{ }\Lambda_cD_{ s0}(2317)$ and $K^{ -}p\to{ }\Lambda_cD_{ s1}(2460)$ are evaluated. The $\bar{ K}p$ initial state interaction mediated by Pomeron and Reggeon exchanges is also included, which reduces the production cross sections of the $D_{ s0}(2317)$ and $D_{ s1}(2460)$. If measured in future experiments, the predicted total cross sections and specific features of the angular distributions can be used to test the (molecular) nature of the $D_{ s0}(2317)$ and $D_{ s1}(2460)$.
Categories: hep-ph