Published April 8, 2015 | Version v1
Journal article Metadata-only

Bohr Hamiltonian with deformation-dependent mass

Creators

  • 1. Institute of Nuclear and Particle Physics, National Centre for Scientific Research "Demokritos", GR-15310 Aghia Paraskevi, Attiki (Greece)
  • 2. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, 1784 Sofia (Bulgaria)
  • 3. Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels (Belgium)

Description

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. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/590/1/012004

Additional details

Identifiers

DOI
10.1088/1742-6596/590/1/012004;

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
590
Journal Issue
1
Journal Page Range
[6 p.]
ISSN
1742-6596

Conference

Title
Nuclear physics and astrophysics
Acronym
NUBA conference series - 1
Dates
15-21 Sep 2014
Place
Antalya (Turkey)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47103733
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
DEFORMED NUCLEI; E2-TRANSITIONS; GAMMA DECAY; HAMILTONIANS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MOMENT OF INERTIA; NUCLEAR DEFORMATION; NUCLEAR POTENTIAL; QUANTUM MECHANICS; SUPERSYMMETRY
Descriptors DEC
DECAY; DEFORMATION; ENERGY-LEVEL TRANSITIONS; MATHEMATICAL OPERATORS; MECHANICS; MULTIPOLE TRANSITIONS; NUCLEAR DECAY; NUCLEI; POTENTIALS; QUANTUM OPERATORS; SYMMETRY