Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-12-27
Phys.Rev. C65 (2002) 044313
Physics
Nuclear Physics
Nuclear Theory
REVTeX, 17 pages, no figure, submitted to Physical Review C
Scientific paper
10.1103/PhysRevC.65.044313
We discuss and explore new aspects of the generalized Dyson mapping of nuclear collective superalgebras composed of an arbitrary fermion-pair algebra and a set of single-fermion creation/annihilation operators. It is shown that a direct consequence of the particular mapping procedure is the conservation of the total number of ideal particles in the resulting boson-fermion system. This provides a microscopic framework for the phenomenological supersymmetric models based on the U(6/2Omega) dynamical superalgebras. Attention is paid to the mapping of single-fermion creation and annihilation operators whose detailed form cannot be determined on the phenomenological level. We derive the general expansion of the single-fermion images that result from the similarity transformation employed to ensure non-redundant bosonisation in the ideal space. The method is then illustrated in an application to the SO(4) collective algebra, a natural extension of the SU(2) seniority model.
Cejnar Pavel
Geyer Hendrik B.
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