Extended study on a quasi-exact solution of the Bohr Hamiltonian

被引:46
|
作者
Budaca, R. [1 ]
Buganu, P. [1 ]
Chabab, M. [2 ]
Lahbas, A. [2 ]
Oulne, M. [2 ]
机构
[1] Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, Reactorului 30,POB MG6, RO-077125 Bucharest, Romania
[2] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Phys, High Energy Phys & Astrophys Lab, POB 2390, Marrakech 40000, Morocco
关键词
Bohr Hamiltonian; Quadrupole collective states; Sextic potential; Shape phase transitions; NUCLEAR-DATA SHEETS; QUANTUM PHASE-TRANSITIONS; INTERACTING BOSON MODEL; GAMMA-RIGID REGIME; ENERGY-SPECTRA; SYMMETRY; STATES; PROBABILITIES; ANHARMONICITY; EXCITATIONS;
D O I
10.1016/j.aop.2016.09.011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A unified presentation of the quasi-exact solutions of the Bohr Hamiltonian with a sextic oscillator potential is offered by evidencing the similarities and the differences between them. An extended study of the Bohr Hamiltonian with sextic potential for gamma-rigid triaxial nuclei is conducted, focusing on the evolution of the energy spectra and B(E2) transition probabilities when the order of the quasi-exactly solvable system is increased. The effect is analyzed throughout the shape phase transition from a gamma-rigid triaxial vibrator to an anharmonic one and especially in its critical point. The new results are tested by several applications for experimental data, improving the previous calculations and providing new possible triaxial nuclei. (C) 2016 Elsevier Inc. All rights reserved.
引用
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页码:65 / 90
页数:26
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