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

## Abstract

A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. 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.

- Authors:

- Lomonosov Moscow State Univ., Moscow (Russia). Skobeltsyn Inst. of Nuclear Physics
- Curtin Univ., Perth, WA (Australia). Curtin Inst. for Computation and Dept. of Physics and Astronomy
- Texas A & M Univ., College Station, TX (United States). Cyclotron Inst.

- Publication Date:

- Research Org.:
- Texas A & M Univ., College Station, TX (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1560813

- Alternate Identifier(s):
- OSTI ID: 1559089

- Grant/Contract Number:
- NA0003841; FG02-93ER40773

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O17 and C13. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.024627.
```

```
Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., & Savin, D. A. New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O17 and C13. United States. doi:10.1103/PhysRevC.100.024627.
```

```
Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. Thu .
"New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O17 and C13". United States. doi:10.1103/PhysRevC.100.024627. https://www.osti.gov/servlets/purl/1560813.
```

```
@article{osti_1560813,
```

title = {New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O17 and C13},

author = {Blokhintsev, L. D. and Kadyrov, A. S. and Mukhamedzhanov, A. M. and Savin, D. A.},

abstractNote = {A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. 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.},

doi = {10.1103/PhysRevC.100.024627},

journal = {Physical Review C},

number = 2,

volume = 100,

place = {United States},

year = {2019},

month = {8}

}

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