Solution of the Bohr hamiltonian for soft triaxial nuclei

Abstract

The Bohr-Mottelson model is solved for a generic soft triaxial nucleus, separating the Bohr hamiltonian exactly and using a number of different model-potentials: a displaced harmonic oscillator in $\gamma$, which is solved with an approximated algebraic technique, and Coulomb/Kratzer, harmonic/Davidson and infinite square well potentials in $\beta$, which are solved exactly. In each case we derive analytic expressions for the eigenenergies which are then used to calculate energy spectra. Here we study the chain of osmium isotopes and we compare our results with experimental information and previous calculations.

13 pages, 9 figures

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Cited by in corpus (15)

• Quadrupole collective states within the Bohr collective Hamiltonian
• Bohr Hamiltonian with deformation-dependent mass term for the Kratzer potential
• Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential
• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Analytical solution for the Davydov-Chaban Hamiltonian with sextic potential for $\gamma =30^{\circ }$
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Bohr Hamiltonian with Davidson potential for triaxial nuclei
• Bohr Hamiltonian with Hulth?en plus Ring shaped potential for triaxial nuclei
• Phase diagram for a Cubic Consistent-Q Interacting Boson Model Hamiltonian: signs of triaxiality
• Exactly separable version of X(5) and related models
• IBM-1 description of the fission products ${}^{108,110,112}$Ru
• New features of the triaxial nuclei described with a coherent state model
• Conjunction of $\gamma$-rigid and $\gamma$-stable collective motion in the critical point of the phase transition from spherical to deformed nuclear shapes
• Competing $\gamma$-rigid and $\gamma$-stable vibrations in neutron rich Gd and Dy isotopes
• Bohr Hamiltonian with Hulthen plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term