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

Journal Article · Wed Dec 26 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.064610· OSTI ID:1489238

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)

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.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

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

OSTI ID:: 1489238

Alternate ID(s):: OSTI ID: 1488902

Journal Information:: Physical Review C, Vol. 98, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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