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SDG fermion-pair algebraic SO(12) and Sp(10) models and their boson realizations

Journal Article · · Annals of Physics (New York)
;  [1];  [2]
  1. Univ. of Stellenbosch (South Africa)
  2. Czech Academy of Sciences, Rez (Czech Republic); and others
It is shown how the boson mapping formalism may be applied as a useful many-body tool to solve a fermion problem. This is done in the context of generalized Ginocchio models for which the authors introduce S-, D-, and G-pairs of fermions and subsequently construct the sdg-boson realizations of the generalized Dyson type. The constructed SO(12) and Sp(10) fermion models are solved beyond the explicit symmetry limits. Phase transitions to rotational structures are obtained also in situations where there is no underlying SU(3) symmetry. 34 refs., 5 figs., 2 tabs.
OSTI ID:
245150
Journal Information:
Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 243; ISSN APNYA6; ISSN 0003-4916
Country of Publication:
United States
Language:
English

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