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EFFECT OF THE PARTICLE-NUMBER SYMMETRY RESTORATION ON ROOT MEAN SQUARE RADII OF EVEN–EVEN NEUTRON-DEFICIENT NUCLEI IN THE ISOVECTOR PAIRING CASE

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

Institut des Sciences et Technologie, Centre Universitaire de Khemis Miliana, Route de Theniet-El-Had, 44225, Khemis-Miliana, 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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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. BENHAMOUDA

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

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, and

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/S0218301312500462Cited by:15 (Source: Crossref)

Abstract

The effect of the particle-number symmetry restoration on the root mean square (rms) proton and neutron radii of neutron-deficient nuclei is studied in the isovector pairing case. As a first step, an expression of the nuclear radii which includes the neutron–proton pairing effects and which strictly conserves the particle-number has been established using the SBCS (Sharp BCS) method. It is shown that this expression generalizes the one obtained in the pairing between like-particles case. As a second step, the proton and neutron rms radii are numerically evaluated for even–even nuclei such as 16⩽Z⩽56 and 0⩽(N-Z)⩽4 using the single-particle energies of a Woods–Saxon mean-field. The results are compared with experimental data when available and with the results obtained when one considers only the pairing between like-particles.

Keywords:

PACS: 21.60.-n, 21.10.ft, 21.30Fe

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