Screening of positive particles in jellium

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Abstract
The theory of quantum liquids based on applying the variational principle to a Jastrow-type trial function is combined with a Hartree-Fock-type approach. It leads to a great simplification e.g. in comparison with the theory of electrons in a solid, where the trial function is assumed to be in the form of a Slater determinant. It is shown how one can benefit from this feature in computing the screening cloud distribution around positive particles embedded in an electron gas. The numerical results have been found for a light impurity (a positron) as well as for a heavy one (a proton) over a wide range of rs. The positron annihilation rates lambda have been calculated for the metallic densities and in the limit of large rs. The proper behaviour of lambda has been observed especially at low densities.