Shell-model study of octupole collectivity near 208Pb

Abstract

We show that the collectivity of the particle-hole wave function of low-lying octupole 3 − states in doubly magic nuclei is mainly due to the neutron-proton interaction. Both the enhanced reduced transition probability to the ground state, B(E3; 3 − 1 → 0 + 1 ), and the coupling of the octupole excitation to a nucleon result from the coherent action of all the components of the collective state. The results obtained with a realistic shell-model interaction both for 208 Pb and 209 Pb agree with the geometric collective model of Bohr and Mottelson, where octupole excitations are associated with phonons corresponding to collective shape oscillations of the surface of the nucleus.