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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Sum Rule Approach to Nuclear Collective Vibration

by
H. Erbil
1,*,
M. Gerçeklioglu
1,
M. Ilhan
2 and
A. Kuliev
3
1
Ege Univ. Fac. of Science Dept.of Phys. 35100 Bornovalzmir
2
Sakarya Univ. Fac. of Science and Art. Dept of Phys. Esentepe Adapazan
3
Academy of Sciences of the Azerbaijan Republic, IFAN. Baku 370143
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 1997, 2(1), 1-11; https://doi.org/10.3390/mca2010001
Published: 1 April 1997
Versions Notes

Abstract

The NEWSR and the EWSR are studied microscopically within TDA and RPA methods. By exploiting the analytic properties of the electromagnetic and allowed β-transitions matrix elements the theory of residue and contour integrals is used IO show that exact calculation of the NEWSR and EWSR is possible. In TDA (non-degenerate limit) we deduce formula for the EWSR of Eλ transition strength We have given different way of the proof of Thouless theorem about exactly exhausting the EWSR of Eλ transitions matrix elements in RPA The unlike particle-hole formalism is developed for allowed β transitions We find that TDA and RPA conserve the NEWSR and EWSR for Fermi and G-T β-decays.

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MDPI and ACS Style

Erbil, H.; Gerçeklioglu, M.; Ilhan, M.; Kuliev, A. Sum Rule Approach to Nuclear Collective Vibration. Math. Comput. Appl. 1997, 2, 1-11. https://doi.org/10.3390/mca2010001

AMA Style

Erbil H, Gerçeklioglu M, Ilhan M, Kuliev A. Sum Rule Approach to Nuclear Collective Vibration. Mathematical and Computational Applications. 1997; 2(1):1-11. https://doi.org/10.3390/mca2010001

Chicago/Turabian Style

Erbil, H., M. Gerçeklioglu, M. Ilhan, and A. Kuliev. 1997. "Sum Rule Approach to Nuclear Collective Vibration" Mathematical and Computational Applications 2, no. 1: 1-11. https://doi.org/10.3390/mca2010001

APA Style

Erbil, H., Gerçeklioglu, M., Ilhan, M., & Kuliev, A. (1997). Sum Rule Approach to Nuclear Collective Vibration. Mathematical and Computational Applications, 2(1), 1-11. https://doi.org/10.3390/mca2010001

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