Production of P -wave charmed and charmed-strange mesons in pion and kaon induced reactions

Jing Liu,Takayuki Matsuki,Qi Wu,Jun He,Dian-Yong Chen

doi:10.1103/physrevd.101.014003

Abstract

In the present work, we investigate the production of $P-$wave charmed or charmed-strange mesons in the pion or kaon induced reactions on a proton target. The total cross sections as well as the differential cross sections depending on the scattering angle are evaluated in an effective Lagrangian approach. Our estimations indicate that magnitude of the cross sections strongly depends on the model parameter but such dependence can be almost completely canceled for the cross section ratios. These model independent ratios can be taken as a good criterion of the validity of heavy quark limit in the charmed region, which is helpful to understand $P$-wave charmed and charmed-strange mesons.

Highlights

In the past decades, a series of charmed and charmedstrange resonances have been observed, which makes the charmed and charmed-strange families abundant
We investigate the P wave charmed and charmed strange mesons by pion and kaon induced reactions on a proton target, which could provide some useful information for further experimental measurements
We have evaluated the production of P-wave charmed/charmed strange mesons in the pion/kaon induced reactions on a proton target by an effective Lagrangian approach

Summary

INTRODUCTION

A series of charmed and charmedstrange resonances have been observed, which makes the charmed and charmed-strange families abundant. The P wave ground charmed mesons have been established, and the observed masses of these states are consistent with expectations of the relativistic quark model [1]. In 1988, the P-wave charmed-strange meson, Ds1ð2536Þ, was observed in the Dsγ invariant mass spectrum of a νN collision process [6]. The 2þ charmed-strange meson, named DÃs2ð2573Þ, was first observed in the D0Kþ invariant mass spectrum of a B decay process. After the Introduction, we present our investigation of the pion and kaon induced production on a proton target at hadronic level and the related amplitudes are obtained by the effective Lagrangians constructed in the heavy quark limit and chiral symmetry. The factor 1=2 in the bracket comes from the spin average of the initial state and the overline indicates the sum over the final state spins

Cross sections for P-wave charmed and charmed strange meson production

NUMERICAL RESULTS AND DISCUSSIONS

Differential cross sections

SUMMARY