One nucleon transfer operator and nuclear supersymmetry

Abstract

The appropriate use of the interacting boson-fermion model one nucleon transfer operator in connection with nuclear supersymmetries is discussed. We emphasize that care must be taken in using the same coupling order, either $l\text{\ensuremath{-}}s$ or $s\text{\ensuremath{-}}l$, in the odd particle creation operator appearing in the one nucleon transfer operator and in the wave function of the odd-A nucleus. As an example, we have recalculated consistently the one nucleon transfer strengths for the $^{196}\mathrm{Pt}\ensuremath{\rightarrow}^{195}\mathrm{Pt}$ one neutron pickup reaction which is the best known example of dynamical nuclear supersymmetry. In addition, we present for the same reaction the results of several calculations considering different truncations in the boson-fermion expansion of the fermion creation operator.