Abstract
The effect of the particle-number projection on the electric quadrupole moment (Q 2 ) 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, Q 2 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.
Highlights
The study of the properties of exotic nuclei is one of the most active areas in nuclear physics
In order to evaluate the np pairing effect, before and after the projection, we introduced the relative discrepancies: Qn2p Q2(S)BCSnp Q2(S)BCS / Q2(S)BCS
We introduced the relative discrepancies: Qp2roj Q2SBCS(np) Q2BCS(np) / Q2BCS(np) in order to evaluate the projection effect, in the pairing between like-particles case and in the np pairing one
Summary
The study of the properties of exotic nuclei is one of the most active areas in nuclear physics. Since the advent of radioactive beams, it is possible to study nuclei far from the valley of stability and in particular proton-rich nuclei [1,2] The latter are important for both nuclear physics and astrophysics. As for studies dealing with proton-rich nuclei, they don’t take into account the np pairing correlations EPJ Web of Conferences using the Sharp-BCS (SBCS) method The latter is a generalization of the one used in the pairing between like-particles case [5,6]
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