The effective description of non-strange hadrons low-energy electro-weak transitions

TL;DR

This paper develops an effective pion-nucleon Lagrangian based on symmetry principles to describe low-energy electro-weak transitions of non-strange hadrons, addressing divergence issues and exploring P-parity violation.

Contribution

It introduces a non-linear effective Lagrangian that manages infinite power series and divergence, advancing the theoretical understanding of low-energy hadron interactions.

Findings

Proper summation of infinite series achieved

Framework applicable to P-parity violation studies

Consistent approach avoids divergences

Abstract

Starting with the general principles of global and local symmetries, the effective pion-nucleon lagrangian, essentially non-linear in pion field, to describe the non-strange hadrons low-energy electro-weak transitions is developed. We encounter no divergence summarizing properly all the infinite power series in pion field which occur in the course of treatment. Our consistent approach proves to be relevant in considering P-parity violation in pion-nucleon interactions.