English

Boson-fermion mapping and dynamical supersymmetry in fermion models

Nuclear Theory 2009-10-30 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/9606043,
  title  = {Boson-fermion mapping and dynamical supersymmetry in fermion models},
  author = {P Navratil and H B Geyer and J Dobaczewski},
  journal= {arXiv preprint arXiv:nucl-th/9606043},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T18:41:26.252Z