Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei

Abstract

We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme effective interaction. Numerical analysis using the SkM${}^{\ast }$ parameter set is performed for the isovector dipole and the isovector/isoscalar quadrupole responses in ${}^{20}$O and ${}^{54}$Ca. It is shown that the energy-weighted sum rule including the enhancement factors for the isovector responses is satisfied with good accuracy. We investigate also how the velocity dependent terms influence the strength distribution and the transition densities of the low-lying surface modes and the giant resonances.

References in corpus (6)

• Exotic modes of excitation in atomic nuclei far from stability
• Spatial structure of neutron Cooper pair in low density uniform matter
• Self-consistent description of multipole strength: systematic calculations
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Pairing collectivity in medium-mass neutron-rich nuclei near drip-line

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