Shell-model study of octupole collectivity near ^{208}Pb
- Resource Type
- article
- Authors
- P. Van Isacker; M. Rejmund
- Source
- Physical Review Research, Vol 4, Iss 2, p L022031 (2022)
- Subject
- Physics
QC1-999
- Language
- English
- ISSN
- 2643-1564
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 for ^{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.