Neutron-proton pairing and particle-number fluctuation effects on the moment of inertia of even-even proton-rich nuclei

Isovector neutron-proton (np) pairing and particle-number fluctuation effects on the moment of inertia of even- even proton-rich nuclei are investigated. As a first step, an expression of the particle-number projected nuclear moment of inertia is derived within the cranking model. The particle-numbe...

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Bibliographic Details
Main Authors: Hammache, F., Allal, N. H., Fellah, M., Oudih, M. R.
Format: Conference Proceeding
Language:English
Subjects:
Cranking
Deformation effects
Eigenvectors
Inertia
Moments of inertia
Nuclei (nuclear physics)
Protons
Variation
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Summary:Isovector neutron-proton (np) pairing and particle-number fluctuation effects on the moment of inertia of even- even proton-rich nuclei are investigated. As a first step, an expression of the particle-number projected nuclear moment of inertia is derived within the cranking model. The particle-number symmetry which is broken in the BCS approach is restored using the Sharp-BCS (SBCS) projection method. The obtained expression generalizes the one obtained in the like-particles pairing case. As a second step, the moment of inertia values of deformed even-even proton-rich nuclei such as (N-Z)=0,2,4 are calculated using the single-particle energies and eigen-states of a deformed Woods-Saxon mean-field. It is shown that the np pairing effect is important and clearly depends on (N-Z). Moreover, the particle-number fluctuation effect is very important and is practically independent from (N-Z).
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5048143