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

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

2007-06-08

arxiv.org/abs/0706.1115v2

Phys.Rev.C79:024313,2009

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.79.024313

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$^*$ 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.

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