The screening of the particle-hole interaction to all orders

Starting from Brueckner's G-matrix the effects of the induced interactions on the particle-hole interaction in nuclear matter are investigated to all orders. Although an iterative solution of the non-linear integral equations, which have to be solved, leads to divergent contributions, it can be shown that the renormalization effects summed to all orders are finite. The complete momentum dependence of the particle-hole interaction is treated which in the Landau limit results in less attractive F₀ and more repulsive G′₀ parameters. For finite ph momenta these features are maintained implying that the collectivity in the pion spin-isospin channel is screened also when the renormalization is considered to all orders.