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We present a calculation of the spin-resolved pair distribution
functions for a homogeneous gas of electrons moving in a plane
with $e^{2}/r$ interactions at coupling strength $r_{s}=10$.\\The
calculation is based on the solution of a two-electron scattering
problem for both parallel-spin- and antiparallel-spin-pairs
interacting \emph{via} effective spin-dependent many-body
potentials. The scattering potentials are modeled within the
approach proposed by Kukkonen and Overhause to treat exchange and
correlations under close constraints imposed by sum rules. We find
very good agreement with quantum MonteCarlo data for the
spin-averaged pair density. We also find that short-range pairing
between parallel-spin electrons is beginning to emerge in the
paramagnetic fluid at this coupling strength, as a precursor of a
transition to a fully spin-polarized fluid state occuring at
stronger coupling.
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