Extrapolation of scattering data to the negativeenergy region. II. Applicability of effective range functions within an exactly solvable model
Abstract
A problem of analytical continuation of scattering data to the negativeenergy 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 + ^{12}C systems are considered and, for comparison, an effectiverange 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 effectiverange function method might be preferable.
 Authors:

 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
 Publication Date:
 Research Org.:
 Texas A&M Univ., College Station, TX (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1440973
 Alternate Identifier(s):
 OSTI ID: 1419606
 Grant/Contract Number:
 NA0003841; FG0293ER40773; PHY1415656; 160200049; 161210048
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 97; 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. Extrapolation of scattering data to the negativeenergy region. II. Applicability of effective range functions within an exactly solvable model. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.024602.
Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., & Savin, D. A. Extrapolation of scattering data to the negativeenergy region. II. Applicability of effective range functions within an exactly solvable model. United States. doi:10.1103/PhysRevC.97.024602.
Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. Mon .
"Extrapolation of scattering data to the negativeenergy region. II. Applicability of effective range functions within an exactly solvable model". United States. doi:10.1103/PhysRevC.97.024602. https://www.osti.gov/servlets/purl/1440973.
@article{osti_1440973,
title = {Extrapolation of scattering data to the negativeenergy region. II. Applicability of effective range functions within an exactly solvable model},
author = {Blokhintsev, L. D. and Kadyrov, A. S. and Mukhamedzhanov, A. M. and Savin, D. A.},
abstractNote = {A problem of analytical continuation of scattering data to the negativeenergy 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 effectiverange 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 effectiverange function method might be preferable.},
doi = {10.1103/PhysRevC.97.024602},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
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