Abstract
The Bohr Hamiltonian with a mass depending on the nuclear deformation is solved using the techniques of supersymmetric quantum mechanics (SUSYQM). Analytical expressions for spectra and wave functions are obtained. Spectra and B(E2) transition rates are calculated for more than 50 γ-unstable nuclei and more than 60 prolate deformed nuclei using the Davidson potential and the Kratzer potential. In addition to solving the long standing problem of the too rapid increase of the moment of inertia with deformation, the method reveals a conformal factor in the Bohr Hamiltonian, embedding the Bohr space in six dimensions.
Highlights
Related content- Collective quadrupole excitations in transitional nuclei K Pomorski, L Próchniak, K Zajac et al
Bohr Hamiltonians with mass dependent on the nuclear deformation have been introduced in [1, 2, 3] and further considered in [4]
Why is deformation dependent mass (DDM) needed In the framework of the Bohr Hamiltonian [5], nuclear collective motion is described in terms of the collective coordinates β and γ, plus the three Euler angles
Summary
- Collective quadrupole excitations in transitional nuclei K Pomorski, L Próchniak, K Zajac et al. - Fixing the moment of inertia in the Bohr Hamiltonian through Supersymmetric Quantum Mechanics D Bonatsos, P E Georgoudis, D Lenis et al
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