Phonon and multi-phonon excitations in rotational nuclei by exact diagonalization of the Bohr Hamiltonian
arXiv:0902.0022 · doi:10.1016/j.physletb.2009.01.054
Abstract
Exact numerical diagonalization of the Bohr Hamiltonian by SU(1,1)xSO(5) methods is used to obtain detailed quantitative predictions for single-phonon and multi-phonon excitations in well-deformed rotor nuclei. Dynamical gamma deformation is found to significantly influence the predictions through its coupling to the rotational motion. Basic signatures for the onset of rigid triaxial deformation are obtained.
LaTeX (elsarticle), 5 pages; to be published in Phys. Lett. B
References in corpus (7)
- Exactly separable version of the Bohr Hamiltonian with the Davidson potential
- A computationally tractable version of the collective model
- Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables
- An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
- Exactly separable version of X(5) and related models
- Gamow-Teller GT+ distributions in nuclei with mass A=90-97
- Simplified approach to the application of the geometric collective model
Cited by in corpus (12)
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- Bohr Hamiltonian with Davidson potential for triaxial nuclei
- Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential
- Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality
- Octupole deformation in light actinides within an analytic quadrupole octupole axially symmetric model with Davidson potential
- New features of the triaxial nuclei described with a coherent state model
- Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
- Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
- Triaxiality explored by an odd quasi-particle
- A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena
- Triaxial Shapes in the Interacting Vector Boson Model