Pseudoscalar Interaction in the Theory of Beta-Decay. II

It is shown that analysis of the pseudoscalar interaction in beta-decay theory results in the appearance of the two sets of nuclear matrix elements, $\int {\theta }_p\beta {\gamma }_5 \mathrm{and} \frac{i}{2M}\int {\theta }_p\sigma ·\left\{\nabla \right\},$ ${\theta }_p$ denoting the angular part of the pseudoscalar lepton covariant and $\left\{\nabla \right\}$ the gradient operation on the radial part of this covariant, instead of the single matrix element, $\int {\theta }_p{\gamma }_5.$