Dynamical Polarizabilities of SU(3) Octet of Baryons

TL;DR

This paper calculates the spin-independent dynamical polarizabilities of the SU(3) octet baryons using semi-automated Chiral Perturbation Theory, analyzing energy dependence and meson cloud contributions.

Contribution

It introduces a semi-automated method for calculating baryon polarizabilities in Chiral Perturbation Theory up to next-to-leading order.

Findings

Results agree with existing nucleon polarizability calculations.

Energy dependence analyzed up to 1 GeV.

Meson cloud contributions to polarizabilities studied.

Abstract

We present calculations and an analysis of the spin-independent dipole electric and magnetic dynamical polarizabilities for the lowest in mass SU(3) octet of baryons. These extensive calculations are made possible by the recent implementation of semi-automatized calculations in Chiral Perturbation Theory which allows evaluating dynamical spin-independent electromagnetic polarizabilities from Compton scattering up to next-to-the-leading order. Our results are in good agreement with calculations performed for nucleons found in the literature. The dependencies for the range of photon energies up to 1 GeV, covering the majority of the meson photo production channels, are analyzed. The separate contributions into polarizabilities from the various baryon meson clouds are studied.