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As shown by Overhauser and others, accurate pair densities for the uniformelectron gas may be found by solving a two-electron scattering problem with aneffective screened electron-electron repulsion. In this work we explore theextension of this approach to nonuniform systems, and we discuss its potentialfor density functional theory. For the spherically- and system-averaged pairdensity of two-electron atoms we obtain very accurate short-range properties,including, for nuclear charge $Z\ge 2$, ``on-top'' values (zeroelectron-electron distance) essentially indistinguishable from those comingfrom precise variational wavefunctions. By means of a nonlinear adiabaticconnection that separates long- and short-range effects, we also obtainKohn-Sham correlation energies whose error is less than 4 mHartree, again for$Z\ge 2$, and short-range-only correlation energies whose accuracy is one orderof magnitude better.Comment: 9 pages, 6 figures (14 .eps files); revised version, to appear in  Phys. Rev.

Simple model for the spherically and system-averaged pair density: Results for two-electron atoms