The one nucleon transfer operator in the microscopic IBM without NOA

The mapping of the single fermion creation operator (ci†) onto the Interacting Boson-Fermion space (IBFM) is revisited within the Generalized Seniority scheme. In the original work the Number Operator Approximation (NOA) was used. Here the exact evaluation of the relevant terms using exact values for the fermion matrix elements in the Generalized Seniority scheme is worked out. This provides a new, improved, single particle transfer operator to be used in IBFM.