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ISOVECTOR PAIRING EFFECT ON NUCLEAR MOMENT OF INERTIA AT FINITE TEMPERATURE IN N = Z EVEN–EVEN SYSTEMS

Institut des Sciences et de la Technologie, Université Dr.Yahia Farès de Médéa, Quartier Ain-D'heb, 26000 Médéa, Algeria

Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria

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M. FELLAH

Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria

Centre de Recherche Nucléaire d'Alger, 2 Bd. Frantz Fanon, BP 399, Alger-Gare, Algiers, Algeria

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N. H. ALLAL

Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria

Centre de Recherche Nucléaire d'Alger, 2 Bd. Frantz Fanon, BP 399, Alger-Gare, Algiers, Algeria

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N. BENHAMOUDA

Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria

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M. BELABBAS

Faculté des Sciences et des Sciences de l'Ingénieur, Université Hassiba Ben Bouali, BP 151, 02000 Chlef, Algeria

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M. R. OUDIH

Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria

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https://doi.org/10.1142/S0218301311019519Cited by:16 (Source: Crossref)

Abstract

Expressions of temperature-dependent perpendicular (ℑ_⊥) and parallel (ℑ_‖) moments of inertia, including isovector pairing effects, have been established using the cranking method. They are derived from recently proposed temperature-dependent gap equations. The obtained expressions generalize the conventional finite-temperature BCS (FTBCS) ones. Numerical calculations have been carried out within the framework of the schematic Richardson model as well as for nuclei such as N = Z, using the single-particle energies and eigenstates of a deformed Woods–Saxon mean-field. ℑ_⊥ and ℑ_‖ have been studied as a function of the temperature. It has been shown that the isovector pairing effect on both the perpendicular and parallel moments of inertia is non-negligible at finite temperature. These correlations must thus be taking into account in studies of warm rotating nuclei in the N ≃ Z region.

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