Bohr Hamiltonian with Davidson potential for triaxial nuclei

Details Bohr Hamiltonian with Davidson potential for triaxial nuclei Bohr Hamiltonian with Davidson potential for triaxial nuclei

2010-12-16

arxiv.org/abs/1012.3519v1

Phys.Rev.C83:014303,2011

Physics

Nuclear Physics

Nuclear Theory

9 pages, LaTex

Scientific paper

10.1103/PhysRevC.83.014303

A solution of the Bohr Hamiltonian appropriate for triaxial shapes, involving a Davidson potential in beta and a steep harmonic oscillator in gamma, centered around gamma=30 degrees, is developed. Analytical expressions for spectra and B(E2) transition rates ranging from a triaxial vibrator to the rigid triaxial rotator are obtained and compared to experiment. Using a variational procedure it is pointed out that the Z(5) solution, in which an infinite square well potential in beta is used, corresponds to the critical point of the shape phase transition from a triaxial vibrator to the rigid triaxial rotator.

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