Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-07-28
Phys.Rev.C76:064312,2007
Physics
Nuclear Physics
Nuclear Theory
35 pages, 11 postscript figures, LaTeX
Scientific paper
10.1103/PhysRevC.76.064312
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_0^4/beta^2 (where beta_0 is the position of the minimum) and a stiff harmonic oscillator for u(gamma) centered at gamma=0. In the resulting solution, called exactly separable Davidson (ES-D), the ground state band, gamma band and 0_2^+ band 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 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, are also obtained.
Bonatsos Dennis
Casten R. F.
Lenis D.
McCutchan E. A.
Minkov Nikolay
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