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

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 $^{20}\mathrm{O}$ and in the deformed $^{26}\mathrm{Ne}$ 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 $^{34}\mathrm{Mg}$ and $^{36}\mathrm{Mg}$ using the Thouless-Valatin procedure based on the self-consistent deformed QRPA, and we show the applicability of our new calculation scheme not only for the vibrational modes but also for the rotational modes in deformed neutron-rich nuclei.