Particle-number projected electric quadrupole moment of even-even proton-rich nuclei in the isovector pairing case

• Main Authors: Douici Mohamed, Allal Nassima-Hosni, Fellah Mohamed, Benhamouda Naziha, Oudih Mohamed-Reda
• Format: Article
• Language: English
• Published: EDP Sciences 2014-03-01
• Series: EPJ Web of Conferences
• Online Access: http://dx.doi.org/10.1051/epjconf/20146602032

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.