Finite Nuclear Size Effects inβDecay

Abstract

The finite nuclear size effects are of significant importance in the study of the second-order corrections to the allowed beta transitions, evaluation of nuclear matrix elements, and in all cases where the $\xi$ approximation is not valid. Accurate electronic radial functions are computed by considering the finite nuclear size effects and the finite de Broglie wavelength effects. A summary of the computation procedure is given, and a comparison of the calculated beta-decay functions is made with the corresponding Coulomb functions.