Bohr Hamiltonian with a deformation-dependent mass term for the Davidson potential

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044321· OSTI ID:21499572

Bonatsos, Dennis; Georgoudis, P E; Lenis, D ^[1]; Minkov, N ^[2]; Quesne, C ^[3]

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1. Institute of Nuclear 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 Nucleaire Theorique et Physique Mathematique, Universite Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels (Belgium)

Analytical expressions for spectra and wave functions are derived for a Bohr Hamiltonian, describing the collective motion of deformed nuclei, in which the mass is allowed to depend on the nuclear deformation. Solutions are obtained for separable potentials consisting of a Davidson potential in the {beta} variable, in the cases of {gamma}-unstable nuclei, axially symmetric prolate deformed nuclei, and triaxial nuclei, implementing the usual approximations in each case. The solution, called the deformation-dependent mass (DDM) Davidson model, is achieved by using techniques of supersymmetric quantum mechanics (SUSYQM), involving a deformed shape invariance condition. Spectra and B(E2) transition rates are compared to experimental data. The dependence of the mass on the deformation, dictated by SUSYQM for the potential used, reduces the rate of increase of the moment of inertia with deformation, removing a main drawback of the model.

• OSTI ID: 21499572
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevC.83.044321; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
AXIAL SYMMETRY
DEFORMED NUCLEI
E2-TRANSITIONS
HAMILTONIANS
MASS
MATHEMATICAL SOLUTIONS
MOMENT OF INERTIA
NUCLEAR DEFORMATION
QUANTUM MECHANICS
SPECTRA
SUPERSYMMETRY
WAVE FUNCTIONS
CALCULATION METHODS
DEFORMATION
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MECHANICS
MULTIPOLE TRANSITIONS
NUCLEI
QUANTUM OPERATORS
SYMMETRY