Exactly separable version of the Bohr Hamiltonian with the Davidson potential Article Swipe

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Bohr model Hamiltonian (control theory) Harmonic oscillator Separable space Boson Physics Quantum mechanics Mathematical physics Mathematics Mathematical analysis Mathematical optimization

Dennis Bonatsos , E. A. McCutchan , N. Minkov , R. F. Casten , P. Yotov , D. Lenis , D. Petrellis , I. Yiyitoglu ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.12681/hnps.2589 · OA: W3005602251

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.