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

Abstract

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