Boson-fermion mapping and dynamical supersymmetry in fermion models

Abstract

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.

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

References in corpus (4)

• The fermion dynamical symmetry model for the even--even and even--odd nuclei in the Xe--Ba region
• Boson-fermion mappings for odd systems from supercoherent states
• Boson-fermion mapping of collective fermion-pair algebras
• SDG fermion-pair algebraic SO(12) and Sp(10) models and their boson realizations

Cited by in corpus (5)

• Deformations of the fermion realization of the sp(4) algebra and its subalgebras
• Analysis of the Strong Coupling Limit of the Richardson Hamiltonian using the Dyson Mapping
• Supersymmetry and Nuclear Pairing
• A microscopic framework for dynamical supersymmetry in nuclei
• Dynamical and invariant supersymmetry in the fermion pairing problem