arXiv:2309.11060·v1·Nuclear Theory

The Self-energy of Nucleon for the Pole term of the Axial-vector Current and the Neutron $β$ -decay

The effect of the pion propagator on the $β$ -decay of neutron is investigated to account for the ratio of the axial-vector to the vector part $g_{A} / g_{V}$ by including the pole term. A suggestion is made that the sign and the size of the vertex correction is appropriate to improve the discrepancy between the result of the model hamiltonian and the experiment.

Comments: 10 pages

The Self-energy of Nucleon for the Pole term of the Axial-vector Current and the Neutron β-decay

Abstract

The Self-energy of Nucleon for the Pole term of the Axial-vector Current and the Neutron $β$ -decay