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Energy-weighted sum rules connecting ΔZ = 2 nuclei within the SO(8) model

Energy-weighted sum rules associated with ΔZ = 2 nuclei are obtained for the Fermi and the Gamow-Teller operators within the SO(8) model. It is found that there is a dominance of contribution of a single state of the intermediate nucleus to the sum rule. The results confirm founding obtained within...

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Bibliographic Details
Main Authors: Štefánik Dušan, Šimkovic Fedor, Faessler Amand
Format: Conference Proceeding
Language:English
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Summary:Energy-weighted sum rules associated with ΔZ = 2 nuclei are obtained for the Fermi and the Gamow-Teller operators within the SO(8) model. It is found that there is a dominance of contribution of a single state of the intermediate nucleus to the sum rule. The results confirm founding obtained within the SO(5) model that the energy-weighted sum rules of ΔZ = 2 nuclei are governed by the residual interactions of nuclear Hamiltonian. A short discussion concerning some aspects of energy weighted sum rules in the case of realistic nuclei is included.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4856558