Study of the Pion-Nucleon Coupling Constant Charge Dependence on the Basis of the Low-Energy Data on Nucleon-Nucleon Interaction

TL;DR

This study analyzes the charge dependence of the pion-nucleon coupling constant at low energies, finding significant charge splitting and confirming the value for charged pions aligns with experimental data.

Contribution

It provides the first detailed analysis of charge splitting in the pion-nucleon coupling constant based on low-energy nucleon-nucleon scattering data.

Findings

Charged pion-nucleon coupling constant g_{π^{±}}^2/4π = 14.55(13)

Excellent agreement with experimental value g_{π^{±}}^2/4π = 14.52(26)

Marked difference between charged and neutral pion-nucleon coupling constants

Abstract

We study relationship between the physical quantities that characterize pion-nucleon and nucleon-nucleon interaction on the basis of the fact that nuclear forces in the nucleon-nucleon system at low energies are mainly determined by the one-pion exchange mechanism. By making use of the recommended proton-proton low-energy scattering parameters, we obtain the following value for the charged pion-nucleon coupling constant g$_{\pi ^{\pm }}^{2}/4\pi =14.55(13)$. Calculated value of this quantity is in excellent agreement with the experimental result g$_{\pi ^{\pm }}^{2}/4\pi =14.52(26)$ of the Uppsala Neutron Research Group. At the same time, the obtained value of the charged pion-nucleon coupling constant differs markedly from the value of the neutral pion-nucleon coupling constant g$_{\pi ^{0}}^{2}/4\pi =13.55(13)$. Thus, our results show considerable charge splitting of the pion-nucleon coupling constant.