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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4]
  1. Lomonosov Moscow State Univ., Moscow (Russia). Skobeltsyn Inst. of Nuclear Physics; Pacific National Univ., Khabarovsk (Russia)
  2. Curtin Univ., Perth, WS (Australia). Curtin Inst. for Computation and Dept. of Physics and Astronomy
  3. Texas A&M Univ., College Station, TX (United States). Cyclotron Inst.
  4. 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; FG02-93ER40773; PHY-1415656; 16-02-00049; 16-12-10048
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; 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. Extrapolation of scattering data to the negative-energy 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 negative-energy 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 negative-energy 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 negative-energy 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 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.},
doi = {10.1103/PhysRevC.97.024602},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

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Cited by: 5 works
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