The Study of Dependence of the Radial Parts of 0-→0+ First Forbidden β-Decay Matrix Elements on the Parameters in Woods-Saxon Potential

In this paper, 0^-→0⁺ first forbidden β-decay matrix elements have been calculated. For ^206-214Pb→^206-214Bi transitions relativistic M^±(ρ_A,λ=0) and nonrelativistic M^±(j_A,κ =1,λ=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, η: isovector parameter, r_c: Coulomb radius and χ diffusion parameter) of Woods-Saxon potential has been investigated.