Extension of the spectroscopic Monte Carlo method to realistic effective interactions

We propose an extension of the spectroscopic Monte Carlo method to realistic effective interactions. The scheme is applied to the recently introduced GXPF1 interaction for fp nuclei for the ground state of Fe-60, N-56, Ni-64 and Zn-60. The method hinges on the use of Hartree-Fock-Bogolinbov wave functions (properly projected before variation) and on a reformulation of the effective interaction so that it; is a sum of negative squares of Hermitian one-quasi-particle operators, so the application of the Huwbbard-Stratonovich transformation to the elementary propagator exp[-H] gives a functional integral over a Hermitian propagator. Limitations and difficulties encountered in the calculation are discussed.