A microscopic study of the octupole degree of freedom at high angular momentum

A microscopic parity and number projected calculation after the variation was used to describe the rotational bands of the octupole deformed nuclei ¹⁴⁴Ba, ¹⁴⁶Ce and ²²⁴Ra. The states obtained in a cranked Hartree-Fock-Bogoliubov approach are taken as intrinsic states for the parity and number projection. Dipole moments, deformation parameters, B(E1), B(E2) and B(E3) transition probabilities along the band are obtained and compared with the available experimental data. The calculations have been done with the finite range density dependent Gogny force.