Relationship of quadrupole--quadrupole interactions to SU(3) invariance and rotational bands for a four-nucleon system

Journal Article · Mon Jan 15 04:00:00 EST 1973 · Can. J. Phys., v. 51, no. 2, pp. 170-179

OSTI ID:4358593

Turner, R J; Trainor, L E.H.

The nature of the quadrupole--quadrupole interactlon in a simple harmonic oscillation model is analyzed in some detail, with particular reference to group symmetries, SU(3) invariance, and the existence of rotational or quasi- rotational bands. Basis states having good space symmetry and SU(3) and R(3) quantum numbers are constructed using the methods of Moshinsky and collaborators. The multi-shell calculations are limited for reasons of tractability to the 4- nucleon system. The results show that the SU(3) model is highly idealized and that the appearance of SU(3) symmetry and rotational bands is strongly influenced by major shell mixing, changes in the radial dependence of the force, and even to some extent by inclusion of self-energy terms in the quadrupole--quadrupole interaction. (auth)

• Research Organization: Univ. of Toronto
• NSA Number: NSA-29-017120
• OSTI ID: 4358593
• Journal Information: Can. J. Phys., v. 51, no. 2, pp. 170-179, Journal Name: Can. J. Phys., v. 51, no. 2, pp. 170-179; ISSN CJPHA
• Country of Publication: Canada
• Language: English

Related Subjects

*LIGHT NUCLEI-- ROTATIONAL STATES
BAND THEORY
HARMONIC OSCILLATOR MODELS
INTERACTIONS
N68232* --Physics (Nuclear
Theoretical)--Nuclear Properties & Reactions
A <= 5--Energy Levels & Transitions
NUCLEAR FORCES
QUADRUPOLES
QUANTUM NUMBERS
SHELL MODELS
SU-3 GROUPS