On the Charge Dependence of the Pion-Nucleon Coupling Constant and Nucleon-Nucleon Low-Energy Scattering Parameters

TL;DR

This paper proposes a simple, physically motivated model linking charge dependence of the pion-nucleon coupling constant and nucleon-nucleon scattering parameters to particle masses, aligning well with experimental data.

Contribution

It introduces a straightforward model that explains charge dependence in pion-nucleon interactions based on mass proportionality, supported by comparison with experimental results.

Findings

Model predicts charge dependence consistent with experimental data.

Calculated $np$ and $nn$ interaction parameters agree with observations.

Supports Yukawa meson theory in describing low-energy nucleon interactions.

Abstract

The simple model describing charge independence and charge symmetry breaking of the pion-nucleon coupling constant is proposed. The model, which has simple physical meaning and foundation, suggests directly proportional dependence of the pion-nucleon coupling constants on the masses of interacting nucleons and pions. Charge dependence of the pion-nucleon coupling constant and the $^{1}S_{0}$-state low-energy nucleon-nucleon ($NN$) scattering parameters are studied on the basis of the Yukawa meson theory. The values of the $np$ and $nn$ interaction characteristics calculated by the proposed model agree quite well with the experimental data.