Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model

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

doi:10.1103/PhysRevC.97.024602

Title: Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model

Journal Article · Mon Feb 05 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.024602· OSTI ID:1440973

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

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

A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the same authors [L. D. Blokhintsev et al., Phys. Rev. C 95, 044618 (2017)]. The goal of this paper is to determine the most effective way of analytic continuation for different systems. The d + α and α + ¹²C systems are considered and, for comparison, an effective-range function approach and a recently suggested Δ method [O. L. Ramírez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017).] are applied. We conclude that the method is more effective for heavier systems with large values of the Coulomb parameter, whereas for light systems with small values of the Coulomb parameter the effective-range function method might be preferable.

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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; PHY-1415656; 16-02-00049; 16-12-10048

OSTI ID:: 1440973

Alternate ID(s):: OSTI ID: 1419606

Journal Information:: Physical Review C, Vol. 97, Issue 2; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (14)

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Phase-shift parametrization and extraction of asymptotic normalization constants from elastic-scattering data Ramírez Suárez, O. L.; Sparenberg, J. -M. Physical Review C, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevC.96.034601	journal	September 2017
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Cited By (4)

Connection formulas between Coulomb wave functions Gaspard, David Journal of Mathematical Physics, Vol. 59, Issue 11 https://doi.org/10.1063/1.5054368	journal	November 2018
New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for ${}^{17}O$ and ${}^{13}C$ Blokhintsev, L. D.; Kadyrov, A. S.; Mukhamedzhanov, A. M. Physical Review C, Vol. 100, Issue 2 https://doi.org/10.1103/physrevc.100.024627	journal	August 2019
Complex-energy analysis of proton-proton fusion Gaspard, David; Sparenberg, Jean-Marc; Wenda, Quentin Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/physrevc.100.035805	journal	September 2019
Complex-energy analysis of proton-proton fusion Gaspard, David; Sparenberg, Jean-Marc; Wenda, Quentin arXiv https://doi.org/10.48550/arxiv.1902.02324	text	January 2019

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