Exactly separable version of the Bohr Hamiltonian with the Davidson potential


Bonatsos D., McCutchan E. A., Minkov N., Casten R. F., Yotov P., Lenis D., ...More

PHYSICAL REVIEW C, vol.76, no.6, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 6
  • Publication Date: 2007
  • Doi Number: 10.1103/physrevc.76.064312
  • Journal Name: PHYSICAL REVIEW C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul University Affiliated: Yes

Abstract

An exactly separable version of the Bohr Hamiltonian is developed using a potential of the form u(beta) + u(gamma)/beta(2), with the Davidson potential u(beta)=beta(2) + beta(4)(0)/beta(2) (where beta(0) is the position of the minimum) and a stiff harmonic oscillator for u(gamma) centered at gamma = 0(degrees). In the resulting solution, called the exactly separable Davidson (ES-D) solution, the ground-state, gamma, and 0(2)(+) bands are all treated on an equal footing. The bandheads, energy spacings within bands, and a number of interband and intraband B(E2) transition rates are well reproduced for almost all well-deformed rare-earth and actinide nuclei using two parameters (beta(0), gamma stiffness). Insights are also obtained regarding the recently found correlation between gamma stiffness and the gamma-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.