Dynamically generated $J^P=1/2^-(3/2^-)$ singly charmed and bottom heavy baryons

TL;DR

This paper uses unitarized chiral perturbation theory to predict new heavy baryon states and analyze their interactions, highlighting the importance of higher-order effects and providing results relevant for future lattice QCD studies.

Contribution

It introduces a method to predict heavy baryon states using symmetry principles and unitarized chiral perturbation theory, including higher-order effects and scattering length calculations.

Findings

Predicted several dynamically generated heavy baryon states.

Calculated scattering lengths for future lattice QCD comparisons.

Showed higher-order potentials significantly affect many channels.

Abstract

Approximate heavy-quark spin and flavor symmetry and chiral symmetry play an important role in our understanding of the nonperturbative regime of strong interactions. In this work, utilizing the unitarized chiral perturbation theory, we explore the consequences of these symmetries in the description of the interactions between the ground-state singly charmed (bottom) baryons and the pseudo-Nambu-Goldstone bosons. In particular, at leading order in the chiral expansion, by fixing the only parameter in the theory to reproduce the $\Lambda_b(5912)$ [$\Lambda_b^*(5920)$] or the $\Lambda_c(2595)$ [$\Lambda_c^*(2625)$], we predict a number of dynamically generated states, which are contrasted with those of other approaches and available experimental data. In anticipation of future lattice QCD simulations, we calculate the corresponding scattering lengths and compare them to the existing predictions from a $\mathcal{O}(p^3)$ chiral perturbation theory study. In addition, we estimate the effects of the next-to-leading-order potentials by adopting heavy-meson Lagrangians and fixing the relevant low-energy constants using either symmetry or naturalness arguments. It is shown that higher-order potentials play a relatively important role in many channels, indicating that further studies are needed once more experimental or lattice QCD data become available.