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

Susumu Kinpara

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arXiv · 2309.11060

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

Susumu Kinpara

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Abstract

The effect of the pion propagator on the $\beta$-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.

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Susumu Kinpara. 2023-09-20. The Self-energy of Nucleon for the Pole term of the Axial-vector Current and the Neutron $\beta$-decay. https://arxiv.org/abs/2309.11060

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