We combine the cranked Hartree-Fock-Bogoliubov formalism at finite temperature with the random-phase approximation to calculate electromagnetic transition strengths for E1, M1, and E2 transitions for any value of energy and spin of rare-earth nuclei. Our calculations are free of spurious contributions because we successfully remove all Goldstone modes from the random-phase approximation calculations. Using the separable Baranger-Kumar Hamiltonian, we can calculate the response functions for electromagnetic decay without explicit construction of the random-phase approximation eigenmodes. We report numerical results on the transitional nucleus ${}_{}{}^{156}{}_{}{}^{}\mathrm{Er}$, which is prolate or oblate for small or high spin, respectively, and discuss them.

• Received 19 January 1989

DOI:https://doi.org/10.1103/PhysRevC.39.2398