Open AccessExactly separable version of the Bohr Hamiltonian with the Davidson potential
Author(s) -
Dennis Bonatsos,
E. A. McCutchan,
N. Minkov,
R. F. Casten,
P. Yotov,
D. Lenis,
D. Petrellis,
I. Yiyitoglu
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2589
Subject(s) - bohr model , hamiltonian (control theory) , harmonic oscillator , separable space , boson , physics , quantum mechanics , mathematical physics , mathematics , mathematical analysis , mathematical optimization
An exactly separable version of the Bohr Hamiltonian, is obtained by using a potential of the form V (β, γ) = u(β) + u(γ)/β2, with a Davidson potential for u(β) and a stiff harmonic oscillator potential centered around γ = 0o, for u(γ).Using two parameters (β0 and the γ-stiffness parameter) the band features and B(E2) transition rates of almost all well-deformed rare-earth and actinide nuclei are reproduced, while the spectrum of the SU(3) dynamical symmetry of the Interacting Boson Model can be obtained, for the first time using the Bohr Hamiltonian.