The Coupling Constant of the Pseudovector Pion-nucleon Interaction for the Magnetic Moment of Nucleon

TL;DR

This paper investigates how the suppression of the pseudovector pion-nucleon coupling constant affects the calculation of the nucleon's magnetic moment, highlighting the significant impact of vacuum polarization corrections.

Contribution

It provides an analysis of the effects of coupling constant suppression and higher-order corrections on nucleon magnetic moment calculations.

Findings

Vacuum polarization significantly influences the magnetic moment calculation.

Lowest-order vertex correction has a negligible effect under on-shell approximation.

Suppression of the coupling constant is crucial for accurate theoretical predictions.

Abstract

The role of the suppression of the coupling constant in the pseudovector pion-nucleon interaction is examined to account for the calculation of the magnetic moment of nucleon. Among three kinds of the higher-order corrections the vacuum polarization of the pion propagator contributes to the numerical value considerably. On the other hand the lowest-order vertex correction for the pion-nucleon-nucleon vertex does not give large effect in the approximation of the on-shell momenta for nucleons.