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

TL;DR

This paper investigates the production cross sections of $P$-wave charmed and charmed-strange mesons in pion and kaon induced reactions on protons, highlighting model-independent ratios as tests of heavy quark symmetry.

Contribution

It provides a detailed calculation of production cross sections using an effective Lagrangian approach and identifies model-independent ratios to validate heavy quark limit assumptions.

Findings

Cross sections depend strongly on model parameters.

Cross section ratios are nearly model-independent.

Ratios serve as criteria for heavy quark symmetry validity.

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.