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
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.
📌 3 Key Takeaways
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Objective & Hypothesis:Abstract-In this paper, $0^-\rightarrow 0^+$ first forbidden $\beta$-decay matrix elements have been calculated.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Abstract-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.
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Cite This Article
KENAR, İ., ÜNLÜ, S., MARAŞ, İ. (2008). 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. Mathematical and Computational Applications, Cilt: 13 - Sayı: 1, 1–8. https://ajindex.com/articles/280431
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