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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 1997, 2(1), 1-11;

Sum Rule Approach to Nuclear Collective Vibration

Ege Univ. Fac. of Science Dept.of Phys. 35100 Bornovalzmir
Sakarya Univ. Fac. of Science and Art. Dept of Phys. Esentepe Adapazan
Academy of Sciences of the Azerbaijan Republic, IFAN. Baku 370143
Author to whom correspondence should be addressed.
Published: 1 April 1997
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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.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Erbil, H.; Gerçeklioglu, M.; Ilhan, M.; Kuliev, A. Sum Rule Approach to Nuclear Collective Vibration. Math. Comput. Appl. 1997, 2, 1-11.

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