Contribution from the Three-Pion State to the Axial Vector Coupling Constant in β-Decay

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Abstract
The effect of the pion cloud to the ratio gA/gV in the β-decay is investigated, with the assumption of the conserved current for the vector interaction. The three-pion state is considered as the simplest stae which might improve the result of the static theory, which gives gA/gV≪1. According to the lowest order perturbation calculation, the contribution from this state turns out to be of the positive sign and large. It seems promising to explain the observed ratio gA/gV>1 even when the decrease of the bare state probability is taken into account, unless the effect of the suppression of the nucleon pair is too strong.

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