The imaginary part of the quasi-particle self-energy Im Σ(k,ϵ(k))/EF as a function of the momentum k of the electron at different metallic densities (EF = 0.921, 0.409, 0.230, and 0.147 Ry at rs = 2, 3, 4 and 5, respectively). The dashed curve is Quinn’s result at rs = 2 [10,13].