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RECORD NO.: 4675247 INSPEC Abstract No: A9413-2160G-001
AUTHOR: Rae, W.D.M.; Zhang, J.
CORP SOURCE: Nucl. Phys. Lab., Oxford Univ., UK
TITLE: Triangular alpha cluster geometries and harmonic oscillator
shell structure
SOURCE: Modern Physics Letters A, vol.9, no.7, p. 599-607
ISSN: 0217-7323
CODEN: MPLAEQ
PLACE OF PUBL: Singapore
LANGUAGE: English
YEAR: 7 March 1994
TREATMENT: T Theoretical or Mathematical
ABSTRACT: We demonstrate that there is a link between the underlying
geometrical structure in the Bloch-Brink alpha -cluster
model and shell structure in the axially-symmetric deformed
harmonic oscillator model. Indeed all the axially-symmetric
harmonic oscillator configurations can be related to
structures formed from triangular layers of alpha -clusters
whose centres lie on an FCC lattice. In particular all
harmonic oscillator closed-shell nuclei can be related to
tetrahedral arrangements of alpha -cluster centers,
generalizing the result known for /sup 16/O for many years.
These results suggest that the octupole degree of freedom
which can be associated with triangular and tetrahedral
alpha -cluster structures could be important in such nuclei
(29 Refs.)
DESCRIPTORS: harmonic oscillators; nuclear cluster model; nuclear shape;
nuclear shell model; nuclei with mass number 6 to 19
IDENTIFIERS: triangular alpha cluster geometries; harmonic oscillator
shell structure; geometrical structure; Bloch-Brink alpha -
cluster model; axially-symmetric deformed harmonic
oscillator; FCC lattice; closed-shell nuclei; tetrahedral
arrangements; /sup 16/O; octupole degree of freedom
CLASS CODES: A2160G (Cluster models); A2160C (Shell model); A2110F
(Shape, charge, radius, form factors and structure
functions)A2720 (6