Pseudoscalar Goldstone Bosons Scattering off Charmed Baryons with Chiral Perturbation Theory

TL;DR

This paper calculates scattering lengths between pseudoscalar Goldstone bosons and charmed baryons using heavy baryon chiral perturbation theory up to third order, providing insights into their interactions.

Contribution

It systematically computes scattering lengths for various channels including interactions with different charmed baryons, improving the understanding of these interactions within chiral perturbation theory.

Findings

Chiral expansion convergence improves after absorbing analytic loop contributions.

Scattering lengths for channels like $K \Lambda_c$, $K \\Sigma_c$, and $\\pi \\Omega_c$ are obtained.

Loop divergences are handled using dimensional regularization and minimal subtraction.

Abstract

We have systematically calculated the pseudoscalar Goldstone boson and charmed baryon scattering lengths to the third order with heavy baryon chiral perturbation theory. The scattering lengths can reveal the interaction of $K \Lambda_c$, $K \Sigma_c$, $\pi \Omega_c$ etc. For each channel, we take into account of the interaction between the external particle and every possible charmed baryon in the triplet, sextet, and excited sextet. We use dimensional regularization and modified minimal subtraction to get rid of the divergences in the loop-diagram corrections. We notice that the convergence of chiral expansion for most of the channels becomes better after we let the low energy constants absorb the analytic contributions of the loop-diagram corrections and keep the nonanalytic terms only.