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Determination of asymptotic normalization coefficients for the channel 16O→ α+12C: excited state 16O(0+; 6.05 MeV)

Journal Article · · European Physical Journal. A, Hadrons and Nuclei (Online)
 [1];  [2];  [3];  [4]
  1. Moscow State Univ., Moscow (Russian Federation). Skobeltsyn Institute of Nuclear Physics (SINP); Cyclotron Institute, Texas A&M University
  2. Curtin Univ., Perth, WA (Australia)
  3. Texas A & M Univ., College Station, TX (United States). Cyclotron Institute
  4. Moscow State Univ., Moscow (Russian Federation). Skobeltsyn Institute of Nuclear Physics (SINP)
+ Show Author Affiliations
Asymptotic normalization coefficients (ANC) determine the overall normalization of cross sections of peripheral radiative capture reactions. In the present paper, we treat the ANC C for the virtual decay 16O(0+; 6.05 MeV)→ α+12C(g.s.), the known values of which are characterized by a large spread (0.29 - 1.65) × 103fm-1/2. The ANC C is found by analytic continuation in energy of the α12C s-wave scattering amplitude, known from the phase-shift analysis of experimental data, to the pole corresponding to the 16O bound state and lying in the unphysical region of negative energies. To determine C, two different methods of analytic continuation are used. In the first method, the scattering data are approximated by the sum of polynomials in energy in the physical region and then extrapolated to the pole. The best way of extrapolation is chosen on the basis of the exactly solvable model. Within the second approach, the ANC C is found by solving the Schrödinger equation for the two-body α 12C potential, the parameters of which are selected from the requirement of the best description of the phase-shift analysis data at a fixed experimental binding energy of 16O(0+; 6.05 MeV) in the α+12C channel. The values of the ANC C obtained within these two methods lie in the interval (886–1139) fm-1/2.
Research Organization:
Texas A & M University, College Station, TX (United States). Cyclotron Institute
Sponsoring Organization:
Russian Foundation for Basic Research Grant; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
FG02-93ER40773; NA0003841
OSTI ID:
1905133
Journal Information:
European Physical Journal. A, Hadrons and Nuclei (Online), Journal Name: European Physical Journal. A, Hadrons and Nuclei (Online) Journal Issue: 12 Vol. 58; ISSN 1434-601X
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (17)

Coulomb corrections in non-relativistic scattering journal January 1973
A new Δ method for bound state asymptotic normalization coefficients with a finite limit of the nuclear part of the effective-range function at zero energy journal June 2021
A new Δh method and its application to the asymptotic normalization constants of the 16O bound states journal October 2021
Erratum to “A new Δh method and its application to the asymptotic normalization constants of the 16O bound states” [Nucl. Phys. A 1014 (2021) 122257] journal February 2022
Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances journal June 1999
Asymptotic normalization coefficients, spectroscopic factors, and direct radiative capture rates journal January 2001
Measurement of elastic C 12 + α scattering: Details of the experiment, analysis, and discussion of phase shifts journal May 2009
Extrapolation of scattering data to the negative-energy region journal April 2017
Algorithm for calculations of asymptotic nuclear coefficients using phase-shift data for charged-particle scattering journal August 2017
Phase-shift parametrization and extraction of asymptotic normalization constants from elastic-scattering data journal September 2017
Elastic α − C 12 scattering at low energies with the bound states of O 16 in effective field theory journal January 2018
Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model journal February 2018
Effective-range function methods for charged particle collisions journal April 2018
Constraining the 6.05 MeV 0 + and 6.13 MeV 3 − Cascade Transitions in the C 12 ( α , γ ) O 16 Reaction Using the Asymptotic Normalization Coefficients journal February 2015
Overall Normalization of the Astrophysical S Factor and the Nuclear Vertex Constant for Be 7 ( p , γ ) 8 B Reactions journal October 1994
Analytic continuation of scattering data to the region of negative energies for systems that have one and two bound states journal May 2016
Asymptotic normalization coefficients in nuclear reactions and nuclear astrophysics journal February 2022

Figures / Tables (12)

TABLE I(p. 2)table TABLE I
TABLE II(p. 4)table TABLE II
TABLE III(p. 4)table TABLE III
FIG. 1(p. 5)figure FIG. 1
FIG. 2(p. 5)figure FIG. 2
FIG. 3(p. 5)figure FIG. 3
FIG. 4(p. 6)figure FIG. 4
TABLE IV(p. 6)table TABLE IV
TABLE V(p. 6)table TABLE V
TABLE VI(p. 6)table TABLE VI
FIG. 5(p. 7)figure FIG. 5
FIG. 6(p. 7)figure FIG. 6

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Asymptotic normalization coefficients (ANC)