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Title: New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O 17 and C 13

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:
 [1]; ORCiD logo [2];  [3];  [1]
+ Show Author Affiliations
  1. Lomonosov Moscow State Univ., Moscow (Russia). Skobeltsyn Inst. of Nuclear Physics
  2. Curtin Univ., Perth, WA (Australia). Curtin Inst. for Computation and Dept. of Physics and Astronomy
  3. 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.
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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. https://doi.org/10.1103/PhysRevC.100.024627
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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. https://doi.org/10.1103/PhysRevC.100.024627. https://www.osti.gov/servlets/purl/1560813.
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@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 = {Thu Aug 01 00:00:00 EDT 2019},
month = {Thu Aug 01 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevC.100.024627
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Cited by: 3 works
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Figures / Tables:

FIG. 1 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, long-dashed blue line - the 1st-order polynomial, shortdashed black line - the 2nd-order polynomial, dotted pink line - the 3rd-order polynomial, dash-dotted yellow line - the 4thorder polynomial,more » dash-double-dotted green line - the 5thorder polynomial. Starting from the 3rd-order polynomial, the results are indistinguishable from the solid red line.« less
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Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
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Connection between asymptotic normalization coefficients and resonance widths of mirror states
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    Figures / Tables found in this record:

    FIG. 1 (p. 3)figure
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    FIG. 10 (p. 7)figure
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    FIG. 9 (p. 7)figure
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