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The short-range and long-range asymptotic behavior of potential functions obtained from the reciprocal power reproducing kernel Hilbert spaceinterpolation procedure [Ho and Rabitz, J. Chem. Phys. 104, 2584 (1996)] is analyzed. In the short-range region, the potential functions are polynomial in form: the method should not be used for extrapolation in this region. General formulae for the short-range and long-range expansion coefficients are presented. Potentials for He-Ar+ are discussed as examples

On the long-range and short-range behavior of potentials from reproducing kernel Hilbert space interpolation