Abstract
The self-energy operator of an electron liquid is examined by including the particle-hole and particle-particle ladder types of vertex corrections to the simplest approximation discussed by Hedin and Lundqvist. It is found that the real part of the self-energy correction ∑( p, ε p ) is much more independent of the wavenumber p than that in the simplest approximation because of the strong short-range correlations at metallic densities. The quasi-particle mass ratio m ∗/ m in the present approximation gives values smaller than 1 in the whole metallic density region.
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