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arXiv · 0809.0169

Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional

Kenichi Yoshida·Nguyen Van Giai
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Abstract

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for the isovector dipole and the isoscalar quadrupole modes in the spherical $^{20}$O and in the deformed $^{26}$Ne nuclei, and the effect of the momentum dependent terms of the Skyrme effective interaction for the energy-weighted sum rule is discussed. As a further application, we present for the first time the moments of inertia of $^{34}$Mg and $^{36}$Mg using the Thouless-Valatin procedure based on the self-consistent deformed QRPA, and show the applicability of our new calculation scheme not only for the vibrational modes but also for the rotational modes in neutron-rich nuclei.

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Kenichi Yoshida, Nguyen Van Giai. 2008-09-01. Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional. https://doi.org/10.1103/physrevc.78.064316

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