Electromagnetic polarizabilities of the spin-$\frac{1}{2}$ singly heavy baryons in heavy baryon chiral perturbation theory

TL;DR

This paper computes the electromagnetic polarizabilities of spin-1/2 singly heavy baryons using heavy baryon chiral perturbation theory, incorporating lattice QCD data and experimental decay widths to estimate low-energy constants.

Contribution

It provides the first detailed calculation of heavy baryon polarizabilities up to order p^3, highlighting the importance of chiral corrections and magnetic dipole transitions.

Findings

Long-range chiral corrections significantly affect polarizabilities.

Magnetic dipole transitions contribute notably to magnetic polarizabilities.

Results emphasize the role of chiral dynamics in heavy baryon properties.

Abstract

We calculate the electromagnetic polarizabilities of the spin-$\frac{1}{2}$ singly heavy baryons in the heavy baryon chiral perturbation theory up to $\mathcal{O}(p^3)$. We estimate the low-energy constants using the magnetic moments of singly charmed baryons from lattice QCD simulations and the experimental decay widths of $\Sigma_c$ and $\Sigma_c^*$. Our results indicate that the long-range chiral corrections make significant contributions to the polarizabilities. Additionally, the magnetic dipole transitions $\mathcal{B}_6^* \to \mathcal{B}_6 +\gamma $ also provide large contribution to the magnetic polarizabilities.