Extrapolation of scattering data to the negative-energy region. III. Application to the p–O16 system

Blokhintsev, L. D.; Kadyrov, A. S.; Mukhamedzhanov, A. M.; Savin, D. A.

doi:10.1103/PhysRevC.98.064610

Title: Extrapolation of scattering data to the negative-energy region. III. Application to the $p - {}^{16}O$ system

Abstract

Using scattering data may give valuable information on the features of bound states, particularly on asymptotic normalization coefficients (ANCs), which, in contrast to binding energies, cannot be directly measured. The ANCs are fundamental nuclear characteristics that are important, for example, for evaluating cross sections of peripheral astrophysical nuclear reactions. One of the direct ways to extract ANCs from experimental data is the analytic continuation in the energy plane of the partial-wave elastic scattering amplitudes, obtained by the phase-shift analysis, to the pole corresponding to a bound state. Such a procedure, in contrast to the method of constructing optical potentials fitted to scattering data, allows one to circumvent an ambiguity problem associated with the model dependence of potentials. In this work the problem of analytic continuation of the scattering data to the negative-energy region to obtain information on ANCs of bound states is discussed. We explore two different methods of analytic continuations of the elastic scattering phase shifts of the p–¹⁶O system which is of interest for nuclear astrophysics. As a result, the ANCs for the ground 5/2⁺ and excited 1/2⁺ states of ¹⁷F are determined.

Authors:

Blokhintsev, L. D. ^[1]; Kadyrov, A. S. ^[2]; Mukhamedzhanov, A. M. ^[3]; Savin, D. A. ^[4]

Lomonosov Moscow State Univ., Moscow (Russia); Pacific National Univ., Khabarovsk (Russia)
Curtin Univ., Perth, WA (Australia)
Texas A & M Univ., College Station, TX (United States)
Lomonosov Moscow State Univ., Moscow (Russia)

Publication Date:: Wed Dec 26 00:00:00 EST 2018

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

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

OSTI Identifier:: 1489238

Alternate Identifier(s):: OSTI ID: 1488902

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 98; Journal Issue: 6; 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. Extrapolation of scattering data to the negative-energy region. III. Application to the p–O16 system.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.98.064610.

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                    Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., & Savin, D. A. Extrapolation of scattering data to the negative-energy region. III. Application to the p–O16 system.  United States.  https://doi.org/10.1103/PhysRevC.98.064610

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                    Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. Wed .  
"Extrapolation of scattering data to the negative-energy region. III. Application to the p–O16 system".  United States.  https://doi.org/10.1103/PhysRevC.98.064610.  https://www.osti.gov/servlets/purl/1489238.

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@article{osti_1489238,

  title        = {Extrapolation of scattering data to the negative-energy region. III. Application to the p–O16 system},

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

  abstractNote = {Using scattering data may give valuable information on the features of bound states, particularly on asymptotic normalization coefficients (ANCs), which, in contrast to binding energies, cannot be directly measured. The ANCs are fundamental nuclear characteristics that are important, for example, for evaluating cross sections of peripheral astrophysical nuclear reactions. One of the direct ways to extract ANCs from experimental data is the analytic continuation in the energy plane of the partial-wave elastic scattering amplitudes, obtained by the phase-shift analysis, to the pole corresponding to a bound state. Such a procedure, in contrast to the method of constructing optical potentials fitted to scattering data, allows one to circumvent an ambiguity problem associated with the model dependence of potentials. In this work the problem of analytic continuation of the scattering data to the negative-energy region to obtain information on ANCs of bound states is discussed. We explore two different methods of analytic continuations of the elastic scattering phase shifts of the p–16O system which is of interest for nuclear astrophysics. As a result, the ANCs for the ground 5/2+ and excited 1/2+ states of 17F are determined.},

  doi          = {10.1103/PhysRevC.98.064610},

  journal      = {Physical Review C},

  number       = 6,

  volume       = 98,

  place        = {United States},

  year         = {Wed Dec 26 00:00:00 EST 2018},

  month        = {Wed Dec 26 00:00:00 EST 2018}

}

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Works referencing / citing this record:

New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for ${}^{17}O$ and ${}^{13}C$
journal, August 2019

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Physical Review C, Vol. 100, Issue 2
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journal, September 2019

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DOI: 10.1142/s0218301319500290

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Gaspard, David; Sparenberg, Jean-Marc; Wenda, Quentin
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arXiv
DOI: 10.48550/arxiv.1907.11345

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Title: Extrapolation of scattering data to the negative-energy region. III. Application to the p – O 16 system

Abstract

Citation Formats

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Title: Extrapolation of scattering data to the negative-energy region. III. Application to the $p - {}^{16}O$ system

Tests of transfer reaction determinations of astrophysical S factors
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