Open AccessBohr Hamiltonian with deformation-dependent mass
Author(s) -
Dennis Bonatsos,
N. Minkov,
D. Petrellis,
Christiane Quesne
Publication year - 2015
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/590/1/012004
Subject(s) - bohr model , hamiltonian (control theory) , physics , moment of inertia , quantum mechanics , classical mechanics , deformation (meteorology) , wave function , mathematical physics , mathematics , mathematical optimization , meteorology
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.SCOPUS: cp.jinfo:eu-repo/semantics/publishedNUBA Conference Series -1: Nuclear Physics and Astrophysics15–21 September 2014, Antalya, Turke