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.
DYNAMICAL SUPERSYMMETRIES IN NUCLEI
It is suggested that dynamical (Bose-Fermi) supersymmetries may be present in the spectra of complex nuclei. A concrete example in which a supersymmetric structure is experimentally observed is shown. In this example the supersymmetry is generated by L=0 and L=2 bosons together with j=3/2 fermions.
Pairing forces and nuclear collective motion
Abstract The influence of pairing forces on the collective vibrations in nuclei is studied using a perturbation expansion. The result is found to agree with that given by Belyaev using the superconductivity approximation except that here the number of particles is conserved. A general discussion is given of the collective quadrupole energy surface. In particular the anharmonic terms in the expansion about zero deformation and the general character of the stability of axially symmetric deformed systems are discussed.