Variational definition of the single-particle potential in the Brueckner-Hartree-Fock approach

Abstract

The consequences of the variational definition of the self-consistent potential in Brueckner-Hartree-Fock theory are explored to higher orders even summing up some classes of diagrams to infinity. The consistency of this definition with a diagrammatic expansion are checked. Overcounting terms in the variational approach are pointed out and their numerical influence on the ground state properties of nuclei is checked at the example of16O. Ambiguities of the potential defined by the variational procedure stemming from the property of the Pauli-operatorQ2 =Q are studied diagrammatically and numerically. The application to16O shows that the influence of the Pauli rearrangement term is partially cancelled by the higher order starting energy rearrangement terms discussed in this work.