Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes

Details Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes

2009-02-18

arxiv.org/abs/0902.3054v1

Phys.Rev.C79:054303,2009

Physics

Nuclear Physics

Nuclear Theory

Submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.79.054303

The core polarization effect for the electric quadrupole moment of the neutron-rich $^{31}$Al, $^{33}$Al and $^{35}$Al isotopes in the vicinity of the island of inversion are investigated by means of the microscopic particle-vibration coupling model in which the Skyrme Hartee-Fock-Bogoliubov and quasiparticle-random-phase approximation are used to calculate the single-quasiparticle wave functions and the excitation modes. It is found that the polarization charge for the proton $1d_{5/2}$ hole state in $^{33}$Al is quite sensitive to coupling to the neutrons in the $pf$-shell associated with the pairing correlations, and that the polarization charge in $^{35}$Al becomes larger due to the stronger collectivity of the low-lying quadrupole vibrational mode in the neighboring $^{36}$Si nucleus.

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