Excited States and Electromagnetic Transition of A= 78 Calculated Using Shell Model and BCS Theory

Hala Wattar, Michael Farah, Nawras Alhoulami

Abstract: Shell model calculations with BCS theory were performed to study the first exited states and the reduced transition probabilities  for the A= 78 chain of isobars by employing the MSDI as a residual interaction between two quasiparticles, in the pure configurations and the configuration mixing for all allowed states on the full valence space . The core is taken at  for all nuclei under study and the results of our theoretical calculations are compared with the most recent available experimental data. It was found that the shell model using BCS theory and MSDI is still one of the most suitable models to carry out, such as calculations, and taking configuration mixing into consideration, enhances considerably, the results, more than the case of pure configurations when comparison with experimental data, and we found success for MSDI as a residual interaction even when the valance nucleons is large.

Keywords: configuration mixing, modified shell model, quasiparticle, transition probability, occupation amplitude.

Title: Excited States and Electromagnetic Transition of A= 78 Calculated Using Shell Model and BCS Theory

Author: Hala Wattar, Michael Farah, Nawras Alhoulami

International Journal of Mathematics and Physical Sciences Research 

ISSN 2348-5736 (Online)

Research Publish Journals

Vol. 5, Issue 2, October 2017 – March 2018

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Excited States and Electromagnetic Transition of A= 78 Calculated Using Shell Model and BCS Theory by Hala Wattar, Michael Farah, Nawras Alhoulami