Faddeev Approach to the Study of One- and Two-hole Spectral Functions

Theoretical calculations of oneand two-hole spectral functions for the O nucleus are still failing to describe some of the important features observed experimentally. Of critical importance for the solution of these issues is to obtain an appropriate description of the interplay between hole-hole and particle-hole excitations. A formalism is reviewed here that allows the consistent treatment of such phonons at a Random Phase approximation level. Although the application of this formalism to O is still in the implementation stage, some preliminary results are discussed here.