The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths

TL;DR

This paper systematically calculates the S-wave scattering lengths between pseudoscalar mesons and heavy vector mesons using chiral perturbation theory up to third order, aiding understanding of their strong interactions.

Contribution

It provides a comprehensive third-order analysis of scattering lengths with comparisons between heavy meson chiral perturbation theory and infrared regularization frameworks.

Findings

Chiral expansion converges well in some channels.

Numerical results compare different theoretical frameworks.

Enhances understanding of pseudoscalar and heavy vector meson interactions.

Abstract

We have systematically studied the S-wave pseudoscalar meson and heavy vector meson scattering lengths to the third order with the chiral perturbation theory, which will be helpful to reveal their strong interaction. For comparison, we have presented the numerical results of the scattering lengths (1) in the framework of the heavy meson chiral perturbation theory and (2) in the framework of the infrared regularization. The chiral expansion converges well in some channels.