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 $D_{s1}(2460)$.

Highlights

  • In recent years, many charmed-strange mesons have been observed [1]

  • Within the coupling constants of the Ds0ð2317Þ to KD and Ds1ð2460Þ to KDÃ channels obtained from chiral unitary theory, the total and differential cross sections of the K−p → ΛcDs0ð2317Þ and K−p → ΛcDs1ð2460Þ are evaluated

  • The Kp initial state interaction mediated by Pomeron and Reggeon exchanges, which reduces the production cross sections of the Ds0ð2317Þ and Ds1ð2460Þ, is included

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Summary

INTRODUCTION

Many charmed-strange mesons have been observed [1]. Among them, the Ds0ð2317Þ and Ds1ð2460Þ are two peculiar states (we abbreviate them as DÃs0 and DÃs1 hereafter) since their masses are about 160 and 70 MeV, respectively, below the quark model predicted values [2]. The charmed-strange meson DÃs0 was first observed by the BABAR Collaboration as a narrow peak in the Dsπ invariant mass distribution [3]. The DÃs1 was observed in the CLEO experiment [4] in the DÃsπ channel, and BABAR [7,8,9] found a signal in that region. It has been well established by the PDG [1] with quantum numbers IðJPÞ 1⁄4 0ð1þÞ.

THEORETICAL FORMALISM
Lagrangians
KAON-INDUCED DÃs ð2317Þ AND DÃs1ð2460Þ PRODUCTION ON PROTON TARGET
Findings
SUMMARY
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