The study of dependence of the radial parts of 0-›0 + first forbidden ß-decay matrix elements on the parameters in Woods-saxon potential

Abstract

In this paper, O-›0+ first forbidden ß-decay matrix elements have been calculated. For 206-214Pb›206-214Bi transitions relativistic M ±(?A,?=0) and nonrelativistic M±(jA, k=1,?=0)) matrix elements have been calculated. In this calculations, the eigenfunctions and eigenvalues of Schrodinger equation solved by the more realistic Woods-Saxon potential have been used. The dependence of the radial parts in the matrix elements on the parameters (r0: the radii of nucleus, ?: isovector parameter, rc: Coulomb radius and ? diffusion parameter) of Woods-Saxon potentialhas been investigated