English

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

Nuclear Theory 2015-06-26 v1

Abstract

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 we 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.

Keywords

Cite

@article{arxiv.nucl-th/9404011,
  title  = {SDG fermion-pair algebraic SO(12) and Sp(10) models and their boson realizations},
  author = {P. Navratil and H. B. Geyer and J. Dobes and J. Dobaczewski},
  journal= {arXiv preprint arXiv:nucl-th/9404011},
  year   = {2015}
}

Comments

25 LaTeX pages, 4 uuencoded postscript figures included, Preprint IFT/8/94 & STPHY-TH/94-4