Influence of the Coulomb interaction on the Fermi hole in an electron liquid

From the diagrammatic analysis, it is proved that the spin-parallel part of the static structure factor of an electron liquid, , has the following exact asymptotic form for q pf: , α=(4/9π)1/3, where pf is the Fermi wave number and the spin-parallel pair correlation function. The second derivative of at zero separation is evaluated in the particle–particle ladder approximation.