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.
Supersymmetry and nuclear pairing
We show that nuclear pairing Hamiltonian exhibits supersymmetry in the strong-coupling limit. The underlying supersymmetric quantum mechanical structure explains the degeneracies between the energies of the N and Nmax − N + 1 pair eigenstates. The supersymmetry transformations connecting these states are given.
Solution of Bohr's collective Hamiltonian for transitional odd-mass nuclei
Abstract A numerically feasible method, based on the use of deformed phonons, is developed for the diagonalization of the collective quadrupole Hamiltonian for a system with an odd particle coupled to an anharmonic even core. Examples: the transition from prolate to oblate via γ-unstable shapes and furthermore the h 9 2 spectra of the nuclei 187Ir and 197Tl.