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Title: Sensitivity of the 13C(α,n)16O S factor to the uncertainty in the level parameters of the near-threshold state

Abstract

The 13C(α,n)16O reaction is the main source of neutrons for the s and i processes in asymptotic giant branch stars and carbon-enhanced metal-poor stars, respectively. The reaction rate over the relevant temperature range from 0.1 to 0.3 GK translates into a center-of-mass energy range of 150 to 540 keV. Current measurements extend down to 300 keV, still requiring an extrapolation of the cross section. At these low energies, the high-energy tail of a 1/2+ state near the reaction threshold makes a significant contribution to the cross section, but its amplitude is still highly uncertain. In this work the uncertainties associated with the low-energy cross-section extrapolation are investigated, in particular the sensitivity to the energy, width, and Coulomb renormalized asymptotic normalization coefficient of the near-threshold resonance. Furthermore, recently it has been suggested that the energy of the near-threshold level may have a large impact on the extrapolation, but this is not found to be the case compared with the other sources of uncertainty.

Authors:
 [1]; ORCiD logo [2];  [3];  [1]; ORCiD logo [4];  [1]
  1. Univ. of Notre Dame, IN (United States). Joint Inst. for Nuclear Astrophysics
  2. Ohio Univ., Athens, OH (United States). Edwards Accelerator Lab.
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1642483
Alternate Identifier(s):
OSTI ID: 1615532
Report Number(s):
LLNL-JRNL-801997
Journal ID: ISSN 2469-9985; 1005865
Grant/Contract Number:  
AC52-07NA27344; PHYS-0822648; PHY-1430152; FG02-88ER40387; NA0003883; PHYS-1713857
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 101; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; H & He induced nuclear reactions; nuclear astrophysics; s process

Citation Formats

deBoer, R. J., Brune, C. R., Febrarro, M., Görres, J., Thompson, I. J., and Wiescher, M.. Sensitivity of the 13C(α,n)16O S factor to the uncertainty in the level parameters of the near-threshold state. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevc.101.045802.
deBoer, R. J., Brune, C. R., Febrarro, M., Görres, J., Thompson, I. J., & Wiescher, M.. Sensitivity of the 13C(α,n)16O S factor to the uncertainty in the level parameters of the near-threshold state. United States. https://doi.org/10.1103/physrevc.101.045802
deBoer, R. J., Brune, C. R., Febrarro, M., Görres, J., Thompson, I. J., and Wiescher, M.. Mon . "Sensitivity of the 13C(α,n)16O S factor to the uncertainty in the level parameters of the near-threshold state". United States. https://doi.org/10.1103/physrevc.101.045802. https://www.osti.gov/servlets/purl/1642483.
@article{osti_1642483,
title = {Sensitivity of the 13C(α,n)16O S factor to the uncertainty in the level parameters of the near-threshold state},
author = {deBoer, R. J. and Brune, C. R. and Febrarro, M. and Görres, J. and Thompson, I. J. and Wiescher, M.},
abstractNote = {The 13C(α,n)16O reaction is the main source of neutrons for the s and i processes in asymptotic giant branch stars and carbon-enhanced metal-poor stars, respectively. The reaction rate over the relevant temperature range from 0.1 to 0.3 GK translates into a center-of-mass energy range of 150 to 540 keV. Current measurements extend down to 300 keV, still requiring an extrapolation of the cross section. At these low energies, the high-energy tail of a 1/2+ state near the reaction threshold makes a significant contribution to the cross section, but its amplitude is still highly uncertain. In this work the uncertainties associated with the low-energy cross-section extrapolation are investigated, in particular the sensitivity to the energy, width, and Coulomb renormalized asymptotic normalization coefficient of the near-threshold resonance. Furthermore, recently it has been suggested that the energy of the near-threshold level may have a large impact on the extrapolation, but this is not found to be the case compared with the other sources of uncertainty.},
doi = {10.1103/physrevc.101.045802},
journal = {Physical Review C},
number = 4,
volume = 101,
place = {United States},
year = {2020},
month = {4}
}

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Works referenced in this record:

Asymptotic normalization coefficients, spectroscopic factors, and direct radiative capture rates
journal, January 2001


Indirect study of the C 13 ( α , n ) O 16 reaction via the C 13 ( Li 7 , t ) O 17 transfer reaction
journal, April 2008


R-Matrix Theory of Nuclear Reactions
journal, April 1958


A cautionary tale: The Coulomb modified ANC for the 1/2+2 state in 17O
journal, May 2018


Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the 7Be system
journal, June 2019

  • Thompson, Ian J.; deBoer, R. J.; Dimitriou, P.
  • The European Physical Journal A, Vol. 55, Issue 6
  • DOI: 10.1140/epja/i2019-12753-y

Broad levels in O 17 and their relevance for the astrophysical s process
journal, November 2015


Resonance parameter and covariance evaluation for 16 O up to 6 MeV
journal, January 2016

  • Leal, Luiz; Ivanov, Evgeny; Noguere, Gilles
  • EPJ Nuclear Sciences & Technologies, Vol. 2
  • DOI: 10.1051/epjn/2016036

GALACTIC CHEMICAL EVOLUTION AND SOLAR s -PROCESS ABUNDANCES: DEPENDENCE ON THE 13 C-POCKET STRUCTURE
journal, April 2014


The excitation function of the 13C(α, n)16O reaction and its astrophysical application
journal, November 1976


The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017


Cluster structure of O 17
journal, March 2017


The AME2016 atomic mass evaluation (I). Evaluation of input data; and adjustment procedures
journal, March 2017


GALACTIC CHEMICAL EVOLUTION: THE IMPACT OF THE 13 C-POCKET STRUCTURE ON THE s -PROCESS DISTRIBUTION
journal, January 2017


ENDF/B-VII.1 Nuclear Data for Science and Technology: Cross Sections, Covariances, Fission Product Yields and Decay Data
journal, December 2011


R-Matrix Evaluation of 16 O Neutron Cross Sections up to 6.3 MeV
journal, August 2002


Measurement of the 3 keV Resonance in the Reaction C 13 ( α , n ) O 16 of Importance in the s -Process
journal, December 2012


The 13 C ( α , n ) reaction and its role as a neutron source for the s process
journal, August 2008


Microscopic analysis of the C 13 ( α ,n ) 16 O and C 13 ( α ) 13 C reactions
journal, December 1987


Alternative parametrization of R -matrix theory
journal, October 2002


The C 12 ( α , γ ) O 16 reaction and its implications for stellar helium burning
journal, September 2017


Total Neutron Yield from the Reactions C 13 ( α ,   n ) O 16 and O 1 7 , 1 8 ( α ,   n ) Ne 2 0 , 2 1
journal, April 1973


Systematic R -matrix analysis of the C 13 ( p , γ ) N 14 capture reaction
journal, April 2015


NEW DETERMINATION OF THE 13 C(α, n ) 16 O REACTION RATE AND ITS INFLUENCE ON THE s -PROCESS NUCLEOSYNTHESIS IN AGB STARS
journal, August 2012


Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
journal, June 1999


H ingestion into He-burning convection zones in super-AGB stellar models as a potential site for intermediate neutron-density nucleosynthesis
journal, December 2015

  • Jones, S.; Ritter, C.; Herwig, F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 4
  • DOI: 10.1093/mnras/stv2488

Low-energy resonances in C 13 (α, n )
journal, December 1993


Indirect techniques in nuclear astrophysics: a review
journal, October 2014


ON THE MEASUREMENT OF THE 13 C(α, n ) 16 O S -FACTOR AT NEGATIVE ENERGIES AND ITS INFLUENCE ON THE s -PROCESS
journal, October 2013


A study of (α, n) reactions on 9Be and 13C at low energies
journal, March 1968


Reaction rates of the s-process neutron sources Ne-22(alpha, n)Mg-25 and C-13(alpha, n)O-16
journal, September 1993

  • Drotleff, H. W.; Denker, A.; Knee, H.
  • The Astrophysical Journal, Vol. 414
  • DOI: 10.1086/173119

Cross section of the C 13 ( α , n ) O 16 reaction: A background for the measurement of geo-neutrinos
journal, December 2005


Subthreshold resonances and resonances in the R -matrix method for binary reactions and in the Trojan horse method
journal, August 2017


Chapter I. Formation of the Viewpoint, Alpha-Like Four-Body Correlations and Molecular Aspects in Nuclei
journal, January 1972

  • Ikeda, Kiyomi; Marumori, Toshio; Tamagaki, Ryozo
  • Progress of Theoretical Physics Supplement, Vol. 52
  • DOI: 10.1143/PTPS.52.1

Toward understanding the microscopic origin of nuclear clustering
journal, August 2012

  • Okołowicz, J.; Nazarewicz, W.; Płoszajczak, M.
  • Fortschritte der Physik, Vol. 61, Issue 2-3
  • DOI: 10.1002/prop.201200127

On the Origin of Nuclear Clustering
journal, January 2012

  • Okołowicz, Jacek; Płoszajczak, Marek; Nazarewicz, Witold
  • Progress of Theoretical Physics Supplement, Vol. 196
  • DOI: 10.1143/PTPS.196.230

AZURE: An R -matrix code for nuclear astrophysics
journal, April 2010


Level Structure of O 17 from Neutron Total Cross Sections
journal, August 1973


Energy levels of light nuclei A = 16–17
journal, November 1993


The Importance of the 13 C( α ,n) 16 O Reaction in Asymptotic Giant Branch Stars
journal, May 2018