Boson-fermion mapping and dynamical supersymmetry in fermion models

Details Boson-fermion mapping and dynamical supersymmetry in fermion models Boson-fermion mapping and dynamical supersymmetry in fermion models

1996-06-20

arxiv.org/abs/nucl-th/9606043v1

Nucl.Phys. A607 (1996) 23-42

Physics

Nuclear Physics

Nuclear Theory

20 pages. Revtex. One PostScript figure available on request from PN

Scientific paper

10.1016/0375-9474(96)00228-X

We show that a dynamical supersymmetry can appear in a purely fermionic system. This ``supersymmetry without bosons" is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In some algebraic fermion models of nuclear structure, particular Hamiltonians may lead to collective spectra of even and odd nuclei that can be unified using the dynamical supersymmetry concept with Pauli correlations exactly taken into account.

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