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, Ismail; ÜNLÜ, SERDAR; Maraş, Ismail

doi:10.3390/mca13010001

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

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Kenar I., ÜNLÜ S., Maraş I.

Mathematical and Computational Applications, vol.13, no.1, pp.1-8, 2008 (Scopus)

Publication Type: Article / Article
Volume: 13 Issue: 1
Publication Date: 2008
Doi Number: 10.3390/mca13010001
Journal Name: Mathematical and Computational Applications
Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
Page Numbers: pp.1-8
Keywords: Beta decay matrix element
Anadolu University Affiliated: Yes

Abstract

In 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.