Octupole Strength of β-Stable and Drip-Line Nuclei**The project supported by National Natural Science Foundation of China under Grant No. 10047001, the Major State Basic Research Development Program under Grant No. G2000-0774-07 and the CAS Knowledge Innovation Project No. KJCX2-SW-NO2

Abstract

The octupole excitations of β-stable nucleus , a neutron skin nucleus and a drip-line nucleus are studied by using the self-consistent Hartree–Fock calculation plus the random phase approximation (RPA) with Skyrme interaction. The lowest isoscalar (IS) excitation below threshold for nuclei and and the IS and isovector (IV) giant resonances of nuclei , and can be well described by collective model. For skin nucleus and drip-line nucleus , the low-lying unperturbed neutron octupole strength () of transitions to non-resonant states are nearly unaffected and the transitions to bound states are absorbed into collective states by taking into account the RPA correlation.