We find that TDA and RPA conserve the NEWSR and EWSR for Fermi and G-T $\beta$-decays.
📌 3 Key Takeaways
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Objective & Hypothesis:The NEWSR and the EWSR are studied microscopically within TDA and.RPA methods.
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Key Findings & Data:In TDA (non -degenerate limit) we deduce formula for the EWSR of $E\lambda$, transition strength, We have given different way of the proof of Thouless theorem about exactly exhausting the EWSR of $E\lambda$ transitions matrix elements in RPA.
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Conclusion & Impact:We find that TDA and RPA conserve the NEWSR and EWSR for Fermi and G-T $\beta$-decays.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
The NEWSR and the EWSR are studied microscopically within TDA and.RPA methods. By exploiting the analytic properties of the electromagnetic and allowed $\beta$- transitions matrix elements the theory of residue and contour integrals is used to show that exact calculation of the NEWSR and EWSR is possible . In TDA (non -degenerate limit) we deduce formula for the EWSR of $E\lambda$, transition strength, We have given different way of the proof of Thouless theorem about exactly exhausting the EWSR of $E\lambda$ transitions matrix elements in RPA. The unlike particle-hole formalism is developed for allowed p transitions. We find that TDA and RPA conserve the NEWSR and EWSR for Fermi and G-T $\beta$-decays.
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Cite This Article
ERBİL, H., GERÇEKLİOĞLU, M., İlhan, M., KULİEV, A. (1997). Sum rule approach to nuclear collective vibration. Mathematical and Computational Applications, Cilt: 2 - Sayı: 1, 1–11. https://ajindex.com/articles/280209