skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: New method of analytic continuation of elastic-scattering data to the negative-energy region, and asymptotic normalization coefficients for O 17 and C 13

Journal Article · · Physical Review C
 [1]; ORCiD logo [2];  [3];  [1]
  1. Lomonosov Moscow State Univ., Moscow (Russia). Skobeltsyn Inst. of Nuclear Physics
  2. Curtin Univ., Perth, WA (Australia). Curtin Inst. for Computation and Dept. of Physics and Astronomy
  3. Texas A & M Univ., College Station, TX (United States). Cyclotron Inst.

A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. It is shown that the proposed method has an advantage over the traditional one based on continuation of the effective-range function. The new method has been applied to determine the asymptotic normalization coefficients for the$$^{17}O$$ and $$^{13}C$$ nuclei in the $$n+^{16}O$$ and $$n+^{12}C$$ channels, respectively.

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:
1560813
Alternate ID(s):
OSTI ID: 1559089
Journal Information:
Physical Review C, Vol. 100, Issue 2; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (22)

Tests of transfer reaction determinations of astrophysical S factors journal February 1999
Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances journal June 1999
Extrapolation of scattering data to the negative-energy region journal April 2017
The ( n , γ) Cross Section of 7 Li journal November 1998
Scattering of Neutrons from O 16 in the 2.2- to 4.2-MeV Energy Range journal October 1967
Indirect techniques in nuclear astrophysics: a review journal October 2014
Radiative capture of nucleons at astrophysical energies with single-particle states journal November 2010
Influence of low-energy scattering on loosely bound states journal January 2010
Overall Normalization of the Astrophysical S Factor and the Nuclear Vertex Constant for Be 7 ( p , γ ) 8 B Reactions journal October 1994
Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model journal February 2018
Relation between Proton and Neutron Asymptotic Normalization Coefficients for Light Mirror Nuclei and its Relevance to Nuclear Astrophysics journal December 2003
Nuclear vertex constants and asymptotic normalization coefficients journal July 2008
Differential Scattering of Neutrons at Narrow Levels in O 17 journal July 1970
Coulomb renormalization and ratio of proton and neutron asymptotic normalization coefficients for mirror nuclei journal October 2012
Connection between asymptotic normalization coefficients and resonance widths of mirror states journal February 2019
Asymptotic normalization coefficients and neutron halo of the excited states in 12 B and 13 C journal August 2001
Determination of the α 6 + d vertex constant (asymptotic coefficient) from the He 4 + d phase-shift analysis journal November 1993
Resonance-state properties from a phase shift analysis with the S -matrix pole method and the effective-range method journal February 2015
Oxygen Differential Neutron Scattering and Phenomenological Nuclear Potentials journal January 1958
Extrapolation of scattering data to the negative-energy region. III. Application to the p O 16 system journal December 2018
Radiative capture of nucleons at astrophysical energies with single-particle states text January 2008
Resonance-state properties from a phase shift analysis with the $S$-matrix pole method and the effective-range method text January 2014

Figures / Tables (16)