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

Kenar I.Ünlü S.Maraş I.2024-07-222024-07-2220081300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19091In this paper, O-→0+ first forbidden β-decay matrix elements have been calculated. For 206-214Pb→206-214Bi transitions relativistic M ±(ρA,λ=0) and nonrelativistic M±(jA, k=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, rc: Coulomb radius and χ diffusion parameter) of Woods-Saxon potentialhas been investigated. © Association for Scientific Research.EnglishAll Open Access; Gold Open AccessDiffusionEigenvalues and eigenfunctionsParameter estimationSchrodinger equationBeta decay matrix elementMatrix elementsMatrix algebraThe study of dependence of the radial parts of 0-→0 + first forbidden β-decay matrix elements on the parameters in Woods-saxon potentialArticle10.3390/mca13010001