Particle-number projected electric quadrupole moment of even-even proton-rich nuclei in the isovector pairing case
1 Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP32 El-Alia, 16111 Bab-Ezzouar, Alger, Algeria
2 Institut des Sciences et Technologie, Centre Universitaire de Khemis Miliana, Route de Theniet-El-Had, 44225 Khemis-Miliana, Algeria
3 Centre de Recherche Nucléaire d’Alger, COMENA, BP399 Alger-Gare, Alger, Algeria
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Published online: 20 March 2014
The effect of the particle-number projection on the electric quadrupole moment (Q2) of even-even proton-rich nuclei is studied in the isovector neutron-proton (np) pairing case. As a first step, an expression of the electric quadrupole moment, which takes into account the isovector np pairing effect and which conserves the particle-number, is established within the Sharp-BCS (SBCS) method. This expression does generalize the one used in the pairing between like-particles case. As a second step, Q2 is calculated for even-even proton-rich nuclei using the single-particle energies of a Woods-Saxon mean-field. The obtained results are compared with the results obtained in the pairing between like-particles case. It is shown that the np pairing effect, as well as the projection one, is maximal when N=Z.
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