Simplified description of. gamma. vibrations in permanently deformed nuclei

Journal Article · Sat Jul 01 04:00:00 EDT 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.18.523· OSTI ID:6813824

Verhaar, B J; Kam, J d; Schulte, A M; Marcelis, F

In the usual Bohr-Mottelson (Faessler-Greiner) treatment of the vibrations of permanently deformed nuclei with axially symmetric equilibrium shape the description of the ..gamma.. vibration is more complicated than that of the ..beta.. vibration: the coupling between the ..gamma.. vibration and the rotation about the approximate symmetry axis z' is not negligible in any reasonable zero-order approximation. We show that a simplification can be achieved if the x' and y' axes of the rotating frame are not chosen along principal quadrupole axes, but are left free as in the particle-plus-rotor model. For small vibrational amplitudes the Hamiltonian consists of uncoupled rotational, ..beta..- and ..gamma..-vibrational parts. The total vibrational part takes the form of a three-dimensional anisotropic harmonic oscillator with two equal eigenfrequencies, which is expected to be a convenient starting point for more exact calculations. In addition, this description may be more convenient to relate collective states to a microscopic picture.

• Research Organization: Department of Physics, Technische Hogeschool, Eindhoven, The Netherlands
• OSTI ID: 6813824
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 18:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETA PARTICLES
CHARGED PARTICLES
DEFORMED NUCLEI
EIGENSTATES
ELECTROMAGNETIC RADIATION
ENERGY
ENERGY LEVELS
EXCITED STATES
GAMMA RADIATION
HAMILTONIANS
HARMONIC OSCILLATORS
IONIZING RADIATIONS
KINETIC ENERGY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NILSSON-MOTTELSON MODEL
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
PHONONS
QUANTUM OPERATORS
QUASI PARTICLES
RADIATIONS
ROTATIONAL STATES
VIBRATIONAL STATES