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A new method is proposed for extrapolation of elastic-scattering data to thenegative-energy region for a short-range interaction. The method is based onthe analytic approximation of the modulus-squared of the partial-wavescattering amplitude. It is shown that the proposed method has an advantageover the traditional one based on continuation of the effective-range function.The new method has been applied to determine the asymptotic normalizationcoefficients for the $^{17}$O and $^{13}$C nuclei in the $n+^{16}$O and$n+^{12}$C channels, respectively.

physical review. c

New method of analytic continuation of elastic-scattering data to the  negative-energy region and asymptotic normalization coefficients for $^{17}$O  and $^{13}$C