  We perform analysis of realistic nucleon-nucleon interactions, as well as of
empirically-corrected interactions, fitted to reproduce in detail the
spectroscopic data in p and sd shells. We focus on the multipole part of the
interactions, contrary to previous studies of that type which focused on
monopole parts. We analyze how the different parts of the NN force (tensor,
spin-orbit and central) contribute to the leading multipoles of the interaction
and how do they renormalize in medium. We show that the leading coherent terms
of the realistic and effective interactions are dominated by the central
component as expected from their schematic operator structure. Convergence and
cutoff dependence of multipole Hamiltonians is also discussed.
