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

## TL;DR

This paper introduces a novel analytic continuation method for elastic-scattering data to negative energies, improving the determination of asymptotic normalization coefficients for specific nuclei.

## Contribution

The paper presents a new analytic approximation technique for extrapolating scattering data, offering advantages over traditional methods in nuclear physics analysis.

## Key findings

- Successfully applied to $^{17}$O and $^{13}$C nuclei
- Provides more accurate asymptotic normalization coefficients
- Demonstrates advantages over traditional methods

## 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.