Hydrodynamic model wavefunctions in intrinsic coordinates and their application to the structure of even-even nuclei. [Quadrupole-vibration Hamiltonian, model energies, E2 transition rates]

Technical Report · Mon Jan 01 04:00:00 EST 1979

DOI:https://doi.org/10.2172/6505152· OSTI ID:6505152

Margetan, F. J.

A closed expression is presented for intrinsic-coordinate (..beta.., ..gamma.., theta/sub i/) eigenfunctions of the hydrodynamic, quadrupole-vibration Hamiltonian of A. Bohr. These functions are used as an expansion basis for the treatment of more general collective Hamiltonians. Two classes of such Hamiltonians are considered. In each the potential energy term of the Bohr Hamiltonian, 1/2 C..beta../sup 2/, was replaced with a more general function of the shape coordinates, V(..beta.., ..gamma..). The potential of Gneuss and Greiner (1) is used to demonstrate the soundness of the calculational techniques, and to illustrate convergence properties of calculated energies. Potentials possessing a single minimum on 0 less than or equal to ..gamma.. less than or equal to 60/sup 0/ are considered through the study of a quadratic-potential (QP) Hamiltonian. The smooth development from spherical to asymmetrically deformed nuclear shapes is investigated by systematically varying the parameters ..beta../sub 0/ and C/sub ..gamma../. Model energies and E2 transition rates are traced during this process. The QP model is then applied to /sup 106/Pd, /sup 166/Er, /sup 182/W, /sup 122/Te, and /sup 186/ /sup 188/ /sup 190/ /sup 192/Os. Low-energy ..gamma.. vibrations appear to play a prominent role in the latter five nuclei, and the QP model offers a better accounting of experimental spectra than does the model of Davydov and Chaban (2). 74 references.

• Research Organization: Ames Lab., IA (USA)
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 6505152
• Report Number(s): IS-T-825
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
COORDINATES
DAYS LIVING RADIOISOTOPES
DEFORMED NUCLEI
E2-TRANSITIONS
EIGENFUNCTIONS
ENERGY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
ERBIUM 166
ERBIUM ISOTOPES
EVEN-EVEN NUCLEI
EXCITED STATES
FUNCTIONS
GAMMA SPECTRA
HAMILTONIANS
HEAVY NUCLEI
HYDRODYNAMIC MODEL
INTEGRAL EQUATIONS
INTERMEDIATE MASS NUCLEI
INTERNAL CONVERSION RADIOISOTOPES
ISOMERIC TRANSITION ISOTOPES
ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MINUTES LIVING RADIOISOTOPES
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
OSMIUM 186
OSMIUM 188
OSMIUM 190
OSMIUM 192
OSMIUM ISOTOPES
PALLADIUM 106
PALLADIUM ISOTOPES
PARTICLE MODELS
POTENTIAL ENERGY
QUANTUM OPERATORS
QUASIPOTENTIAL EQUATION
RADIOISOTOPES
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
SERIES EXPANSION
SPECTRA
SPHERICAL MODEL
STABLE ISOTOPES
STATISTICAL MODELS
TELLURIUM 122
TELLURIUM ISOTOPES
THERMODYNAMIC MODEL
TUNGSTEN 182
TUNGSTEN ISOTOPES
VIBRATIONAL STATES
WAVE FUNCTIONS