Low-energy axial-vector transitions from decuplet to octet baryons

TL;DR

This paper develops a chiral Lagrangian framework to analyze axial-vector transitions from decuplet to octet baryons, providing calculations for decay widths and distributions, with implications for understanding baryon decay processes.

Contribution

It introduces a minimal chiral Lagrangian approach at next-to-leading order, identifying a single flavor-symmetric contribution that allows determination of a key low-energy constant across strangeness sectors.

Findings

Calculated decay widths for baryon transitions.

Predicted Dalitz distributions for decay processes.

Provided a method to determine low-energy constants universally.

Abstract

Axial-vector transitions of decuplet to octet baryons are parametrized at low energies guided by a complete and minimal chiral Lagrangian up to next-to-leading order. It is pointed out that beyond the well-known leading-order term, there is only one contribution at next-to-leading order. This contribution is flavor symmetric. Therefore the corresponding low-energy constant can be determined in any strangeness sector. As functions of this low-energy constant, we calculate the decay widths and Dalitz distributions for the decays of decuplet baryons to octet baryons, pions, and photons and for the weak decay of the Omega baryon to a cascade baryon, an electron, and an anti-neutrino.