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arXiv · 0902.3054

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

Kenichi Yoshida
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Abstract

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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Kenichi Yoshida. 2009-02-18. Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes. https://doi.org/10.1103/physrevc.79.054303

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