Mixed Representation RPA Calculation for Octupole Excitations on Superdeformed Sates in the 40Ca and Neutron-Rich Sulfur Regions

摘要

By means of the mixed representation RPA based on the Skyrme-Hartree-Fockmean field, we investigate low-frequency octupole excitations built on thesuperdeformed (SD) states in the N=Z nuclei around 40Ca and the neutron-richSulfur isotopes. The RPA calculation is carried out fully self-consistently onthe three-dimensional Cartesian mesh in a box, and yields a number oflow-frequency octupole vibrations built on the SD states in 32S, 36Ar, 40Ca and44Ti. In particular, a strongly collective K^\pi=1^- octupole vibration issuggested to appear on top of the SD state in 40Ca. For 48,50S close to theneutron drip line, we find that the low-lying state created by the excitationof a single neutron from a loosely bound low Omega level to a high Omegaresonance level acquires an extremely strong octupole transition strength dueto the spatially very extended structure of the particle-hole wave functions.