  We consider a spin imbalanced Fermi gas at zero temperature in the normal
phase on the BCS side of the BCS-BEC crossover and around unitarity. We compute
the critical polarization for pairing, the correlated occupation numbers and
the contact in an extension of particle-particle RPA (also called non
self-consistent \textit{T}-matrix approach or ladder approximation). The
so-called renormalized RPA consists in computing the \textit{T} matrix with
self-consistently determined occupation numbers. The occupation numbers are
determined either by keeping the self-energy only to first order or by
resumming the Dyson equation. In this way, the result for the critical
polarization, strongly overestimated in standard RPA, is clearly improved. We
also discuss some problems of this approach.
