# Production of the $D_{s0}(2317)$ and $D_{s1}(2460)$ by kaon-induced reactions on a proton target

## TL;DR

This study explores the production of charmed-strange mesons $D_{s0}(2317)$ and $D_{s1}(2460)$ via kaon-induced reactions on protons, using an effective Lagrangian approach and chiral unitary theory to predict cross sections and angular distributions.

## Contribution

It provides a theoretical prediction of production cross sections and angular distributions for $D_{s0}(2317)$ and $D_{s1}(2460)$ in kaon-induced reactions, testing their molecular nature.

## Key findings

- Predicted total cross sections for the reactions.
- Angular distribution features for the produced mesons.
- Impact of initial state interactions on production rates.

## Abstract

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 $D_{s1}(2460)$.