The study of dependence of the radial parts of $0^-\\rightarrow 0^+$ first forbidden $\\beta$-decay matrix elements on the parameters in Woods-Saxon potential

İsmail KENARİsmail MARAŞSERDAR ÜNLÜ2025-04-142025-04-142008http://hdl.handle.net/20.500.14701/55924Abstract-In this paper, $0^-\\rightarrow 0^+$ first forbidden $\\beta$-decay matrix elements have been calculated. For $^{206-214}Pb\\rightarrow ^{206-214}Bi$ transitions relativistic $M^{\\pm}(P_A,\\lambda=0)$ and nonrelativistic $M^{\\pm}(j_A,K =1,\\lambda=0)$ 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 ($r_0$: the radii of nucleus, $\\eta$: isovector parameter, $r_c$: Coulomb radius and $\\chi$ diffusion parameter) of Woods-Saxon potential has been investigated.İngilizceFizikUygulamalıFizikAtomik ve Moleküler KimyaFizikPartiküller ve AlanlarThe study of dependence of the radial parts of $0^-\\rightarrow 0^+$ first forbidden $\\beta$-decay matrix elements on the parameters in Woods-Saxon potential