New method of analytic continuation of elasticscattering data to the negativeenergy region, and asymptotic normalization coefficients for ${}^{17}\mathrm{O}$ and ${}^{13}\mathrm{C}$
Abstract
A new method is proposed for extrapolation of elasticscattering data to the negativeenergy region for a shortrange interaction. It is shown that the proposed method has an advantage over the traditional one based on continuation of the effectiverange 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; FG0293ER40773
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 24699985
 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 elasticscattering data to the negativeenergy 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 elasticscattering data to the negativeenergy region, and asymptotic normalization coefficients for O17 and C13. United States. https://doi.org/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 elasticscattering data to the negativeenergy region, and asymptotic normalization coefficients for O17 and C13". United States. https://doi.org/10.1103/PhysRevC.100.024627. https://www.osti.gov/servlets/purl/1560813.
@article{osti_1560813,
title = {New method of analytic continuation of elasticscattering data to the negativeenergy 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 elasticscattering data to the negativeenergy region for a shortrange interaction. It is shown that the proposed method has an advantage over the traditional one based on continuation of the effectiverange 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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Cited by: 3 works
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Figures / Tables:
FIG. 1: Function G0(E) for $n+ ^{16}O$, $J^π = 1/2^+$. Solid red line represents the results obtained from the theoretical phase shifts, longdashed blue line  the 1storder polynomial, shortdashed black line  the 2ndorder polynomial, dotted pink line  the 3rdorder polynomial, dashdotted yellow line  the 4thorder polynomial,more »
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