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arXiv · 1906.02696

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

L. D. Blokhintsev·A. S. Kadyrov·A. M. Mukhamedzhanov·D. A. Savin
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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.

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L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, D. A. Savin. 2019-06-06. New method of analytic continuation of elastic-scattering data to the negative-energy region and asymptotic normalization coefficients for $^{17}$O and $^{13}$C. https://doi.org/10.1103/physrevc.100.024627

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