The interacting Boson model with the exceptional groups G sub 2 and E sub 6
- School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia (AU)
- Department of Physics, University of Canterbury, Christchurch, (New Zealand)
The extension of the interacting Boson model of (IBM) nuclei to {ital sdgi} bosons leads naturally to the group structure U{sub 28}{r arrow}SU{sub 3}{r arrow}SO{sub 3}. There exist alternative group structures involving the exceptional Lie groups G{sub 2} and E{sub 6}, namely, U{sub 28}{r arrow}SU{sub 7}{r arrow}SO{sub 7}{r arrow}G{sub 2}{r arrow}SO{sub 3} and U{sub 28}{r arrow}SU{sub 27}{times}U{sub 1}{r arrow}E{sub 6}{r arrow}G{sub 2}{r arrow}SO{sub 3}. This represents a different use of G{sub 2} to that used in the atomic and nuclear spectroscopy of the {ital f} shell. In this paper, details of the explicit construction of the group generators, the calculation of the relevant isoscalar factors, and branching rules will be shown and specific application to the nuclear levels of the {ital A}=200 isotope of Hg will be made. The analysis of the foregoing example encourages the more general application of these group structures.
- OSTI ID:
- 6396082
- Journal Information:
- Journal of Mathematical Physics (New York); (USA), Vol. 32:2; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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