Self-Consistent Separable Rpa for Skyrme Forces: Giant Resonances in Axial Nuclei

Abstract

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to avoid diagonalization of high-rank RPA matrices, which dramatically reduces the computational expense. This advantage is crucial for the systems with a huge configuration space, first of all for deformed nuclei. SRPA takes self-consistently into account the contributions of both time-even and time-odd Skyrme terms as well as of the Coulomb force and pairing. The method is implemented to description of isovector E1 and isoscalar E2 giant resonances in a representative set of deformed nuclei: ${}^{154}$Sm, ${}^{238}$U, and ${}^{254}$No. Four different Skyrme parameterizations (SkT6, SkM*, SLy6, and SkI3) are employed to explore dependence of the strength distributions on some basic characteristics of the Skyrme functional and nuclear matter. In particular, we discuss the role of isoscalar and isovector effective masses and their relation to time-odd contributions. High sensitivity of the right flank of E1 resonance to different Skyrme forces and the related artificial structure effects are analyzed.

14 pages, 3 figures, 1 table

References in corpus (1)

• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited

Cited by in corpus (13)

• Dipole responses in Nd and Sm isotopes with shape transitions
• Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy Nuclei
• Experimental study of the electric dipole strength in the even Mo nuclei and its deformation dependence
• Skyrme-Rpa Description of Spin-Flip M1 Giant Resonance
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Pairing and deformation effects in nuclear excitation spectra
• Deformation-induced splitting of isoscalar E0 giant resonance: Skyrme random-phase-approximation analysis
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Skyrme-Hartree-Fock Description of the Dipole Strength in Neutron-Rich Tin Isotopes
• Giant dipole resonance in Sm isotopes within TDHF method
• Instantaneous Shape Sampling - a model for the $\gamma$-absorption cross section of transitional nuclei
• Investigation of giant dipole resonance in Mo isotopes within TDHF theory
• Low-energy M1 states in deformed nuclei: spin-scissors or spin-flip?