Abstract
An exactly separable version of the Bohr Hamiltonian is developed using a potential of the form , with the Davidson potential (where is the position of the minimum) and a stiff harmonic oscillator for centered at . In the resulting solution, called the exactly separable Davidson (ES-D) solution, the ground-state, and bands are all treated on an equal footing. The bandheads, energy spacings within bands, and a number of interband and intraband transition rates are well reproduced for almost all well-deformed rare-earth and actinide nuclei using two parameters ( stiffness). Insights are also obtained regarding the recently found correlation between γ stiffness and the γ-bandhead energy, as well as the long-standing problem of producing a level scheme with interacting boson approximation SU(3) degeneracies from the Bohr Hamiltonian.
4 More- Received 21 July 2007
DOI:https://doi.org/10.1103/PhysRevC.76.064312
©2007 American Physical Society