Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory

TL;DR

This paper calculates the self-energies of SU(3) octet and decuplet baryons using a relativistic chiral effective theory, deriving nonanalytic mass behaviors and analyzing meson-baryon loop contributions with finite-range regularization.

Contribution

It introduces a relativistic framework with finite-range regularization for baryon self-energies, improving upon earlier heavy baryon approximations.

Findings

Finite-range regularization maintains Lorentz and gauge invariance.

Meson-baryon loop contributions vary with dipole range and meson mass.

Relativistic results differ from heavy baryon approximations.

Abstract

The self-energies of the full set of flavor SU(3) octet and decuplet baryons are computed within a relativistic chiral effective theory framework. The leading nonanalytic chiral behavior is derived for the octet and decuplet masses, and a finite-range regularization consistent with Lorentz and gauge invariance is applied to account for the finite size of the baryons. Using a four-dimensional dipole form factor, the relative importance of various meson-baryon loop contributions to the self-energies is studied numerically as a function of the dipole range parameter and meson mass, and comparison is made between the relativistic results and earlier approximations within the heavy baryon limit.