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-operatorQ ² =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.