Exactly separable version of the Bohr Hamiltonian with the Davidson potential
Abstract
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.
Article Details
- How to Cite
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Bonatsos, D., McCutchan, E. A., Minkov, N., Casten, R. F., Yotov, P., Lenis, D., Petrellis, D., & Yiyitoglu, I. (2020). Exactly separable version of the Bohr Hamiltonian with the Davidson potential. HNPS Advances in Nuclear Physics, 16, 121–128. https://doi.org/10.12681/hnps.2589
- Issue
- Vol. 16 (2008): HNPS2008
- Section
- Oral contributions
References
A. Bohr, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 26 (1952) no. 14.
F. Iachello, Phys. Rev. Lett. 85 (2000) 3580.
F. Iachello, Phys. Rev. Lett. 87 (2001) 052502.
Wilets and M. Jean, Phys. Rev. 102 (1956) 788.
R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 87 (2001) 052503.
R. Bijker, R. F. Casten, N. V. Zamfir and E. A. McCutchan, Phys. Rev. C 68
(2003) 064304.
Dennis Bonatsos, E. A. McCutchan, N. Minkov, R. F. Casten, P. Yotov, D.
Lenis, D. Petrellis and I. Yigitoglu, Phys. Rev. C 76 (2007) 064312.
L. Fortunato, Phys. Rev. C 70 (2004) 011302.
L. Fortunato, Eur. Phys. J. A 26 (2005) s01, 1.
L. Fortunato, S. De Baerdemacker and K. Heyde, Phys. Rev. C 74 (2006) 014310.
P. M. Davidson, Proc. R. Soc. London Ser. A 135 (1932) 459.
D. J. Rowe and C. Bahri, J. Phys. A 31 (1998) 4947.
J. P. Elliott, J. A. Evans and P. Park, Phys. Lett. B 169 (1986) 309.
F. Iachello and A. Arima, The Interacting Boson Model, Cambridge University, Cambridge, England (1987)
Dennis Bonatsos, D. Lenis, E. A. McCutchan, D. Petrellis and I. Yigitoglu, Phys. Lett. B 649 (2007) 394.
M. A. Caprio, Phys. Rev. C 72 (2005) 054323.
Nuclear Data Sheets, as of December 2005.
N. Pietralla and O.M. Gorbachenko, Phys. Rev. C 70 (2004) 011304(R).
Ch. Hinke, R. Kruecken, R. F. Casten, V. Werner and N. V. Zamfir, Eur. Phys. J. A 30 (2006) 357.
