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The Ragot-Cortona model of local correlation energy (J. Chem. Phys. 121, 7671(2004)) revisits the initial approach of Colle and Salvetti [Theo. Chim. Acta37, 329 (1975)] in order to reinstate the kinetic contribution Tc to the totalcorrelation energy Ec. In this work, the one-electron reduced density-matrixunderlying the amended model is fully derived in closed-form. By construction,the said density-matrix is parameter-free but not N-representable, owing to aseries of approximations used in the Ragot-Cortona approach. However, theresulting density-matrix is shown to have formally correct short- andlong-range expansions. Furthermore, its momentum-space counterpartqualitatively agrees with known parameterized momentum distributions except atsmall momenta, where the disagreement reflects the non-representability of themodel and restricts to a small fraction of the slowest electrons only.

Assessment of an analytical density-matrix derived from a modified Colle-Salvetti approach to the electron gas