Bohr Hamiltonian with deformation-dependent mass

NUBA Conference Series -1: Nuclear Physics and Astrophysics

物理学;天文学

Bonatsos, Dennis^1 ; Minkov, N.^2 ; Petrellis, D.^1 ; Quesne, C.^3

Institute of Nuclear and Particle Physics, National Centre for Scientific Research Demokritos, Aghia Paraskevi, Attiki

GR-15310, Greece^1

Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, Sofia

1784, Bulgaria^2

Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, Brussels

B-1050, Belgium^3

关键词: Analytical expressions;    Bohr Hamiltonian;    Conformal factors;    Moment of inertia;    Nuclear deformations;    Standing problems;    Supersymmetric quantum mechanics;    Transition rates;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/590/1/012004/pdf
DOI  :  10.1088/1742-6596/590/1/012004

学科分类：天文学(综合)

来源: IOP

【 摘 要 】

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.