Solution of the Bohr Hamiltonian with the Davidson potential for a soft triaxial shape around γ = π/6 in nuclei

2013 ◽  
Vol 63 (10) ◽  
pp. 1907-1912 ◽  
Author(s):  
J. H. Lee
2020 ◽  
Vol 16 ◽  
pp. 121
Author(s):  
D. Bonatsos ◽  
E. A. McCutchan ◽  
N. Minkov ◽  
R. F. Casten ◽  
P. Yotov ◽  
...  

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.


2006 ◽  
Vol 2 (S236) ◽  
pp. 309-320
Author(s):  
Karri Muinonen ◽  
Johanna Torppa ◽  
Jenni Virtanen ◽  
Jyri Näränen ◽  
Jarkko Niemel ◽  
...  

AbstractThe observing program of the Nordic Near-Earth-Object Network (NEON) accrues knowledge about the physical and dynamical properties of near-Earth objects (NEOs) using state-of-the-art inverse methods. Photometric and astrometric observations are being carried out at the Nordic Optical Telescope. Here, the NEON observations from June 2004–September 2006 are reviewed. Statistical orbital inversion is illustrated by the so-called Volume-of-Variation method. Statistical inversion for spins and shapes is carried using a simple triaxial shape model yielding analytical disk-integrated brightnesses for both Lommel-Seeliger and Lambert scattering laws. The novel approach allows spin-shape error analyses with the help of large numbers of sample solutions. Currently, such spin-shape solutions have been derived for 2002 FF12, 2003 MS2, 2003 RX7, and 2004 HW. For (1862) Apollo, an unambiguous spin-shape solution has been obtained using the conventional, convex inversion method and, for (1685) Toro and (1981) Midas, the conventional method has been applied repeatedly to map the regime of possible solutions.


2012 ◽  
Vol 424 (4) ◽  
pp. 3129-3144 ◽  
Author(s):  
Eduard Salvador-Solé ◽  
Sinue Serra ◽  
Alberto Manrique ◽  
Guillermo González-Casado

2010 ◽  
Vol 25 (10) ◽  
pp. 805-813 ◽  
Author(s):  
SHUIFA SHEN ◽  
XIUJIE WANG ◽  
TINGDUN WEN ◽  
FENG PAN ◽  
JIANZHONG GU ◽  
...  

In order to study the deformation of the nuclei which belongs to the transitional region between strongly deformed and spherical nuclei, the calculations of the total Routhian surfaces by means of the pairing-deformation-frequency self-consistent cranked shell model were carried out in order to investigate shape evolution in even-mass Os and Pt isotopes (176–202 Os and 182–204 Pt ) starting from the static nuclear ground states. It is found that some nuclear ground states such as in 196 Os and 188–194 Pt are neither oblate nor prolate. Instead, the ground-state minima in these nuclei are axially asymmetric in shape. In addition, a complementary approach is used to extract equilibrium γ0 value (nonaxially symmetric equilibrium shape parameter), which support our predictions.


1977 ◽  
Vol 284 (2) ◽  
pp. 199-208 ◽  
Author(s):  
V. Paar ◽  
Ch. Vieu ◽  
J.S. Dionisio
Keyword(s):  

2017 ◽  
Vol 966 ◽  
pp. 82-101 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Hadi Sobhani ◽  
Akpan Ndem Ikot

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Dennis Bonatsos ◽  
P. E. Georgoudis ◽  
D. Lenis ◽  
N. Minkov ◽  
C. Quesne

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