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 ${}^{20}$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.

Comments: 11 pages, 13 figures and 2 tables. Submitted to PRC