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The effect of the pion propagator on the $\beta$-decay of neutron isinvestigated 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 andthe size of the vertex correction is appropriate to improve the discrepancybetween the result of the model hamiltonian and the experiment.

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