Bayesian estimation of the $$S$$ factor and thermonuclear reaction rate for 16O(p, γ)17F
Abstract
The 16O(p, γ)17F reaction is the slowest hydrogen-burning process in the CNO mass region. Its thermonuclear rate sensitively impacts predictions of oxygen isotopic ratios in a number of astrophysical sites, including AGB stars. The reaction has been measured several times at low bombarding energies using a variety of techniques. The most recent evaluated experimental rates have a reported uncertainty of about 7.5% below 1 GK. However, the previous rate estimate represents a best guess only and was not based on rigorous statistical methods. We apply a Bayesian model to fit all reliable 16O(p, γ)17F cross section data, and take into account independent contributions of statistical and systematic uncertainties. The nuclear reaction model employed is a single-particle potential model involving a Woods-Saxon potential for generating the radial bound state wave function. The model has three physical parameters, the radius and diffuseness of the Woods-Saxon potential, and the asymptotic normalization coefficients (ANCs) of the final bound state in 17F. Here, we find that performing the Bayesian S -factor fit using ANCs as scaling parameters has a distinct advantage over adopting spectroscopic factors instead. Based on these results, we present the first statistically rigorous estimation of experimental 16O(p, γ)17F reaction rates, with uncertaintiesmore »
- Authors:
-
[1];
[1];
[2]
- Univ. of North Carolina, Chapel Hill, NC (United States); Triangle Univ. Nuclear Lab. (TUNL), Durham, NC (United States)
- Chinese Academy of Sciences, Shanghai (China)
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States). Triangle Universities Nuclear Laboratory; University of North Carolina, Chapel Hill, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1907661
- Alternate Identifier(s):
- OSTI ID: 1901852
- Grant/Contract Number:
- FG02-97ER41033; FG02-97ER41041
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 106; Journal Issue: 5; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Direct reactions; H & He burning; Nuclear physics of explosive environments; Nuclear reactions; Radiative capture; 6 ≤ A ≤ 19; Bayesian methods
Citation Formats
Iliadis, Christian, Palanivelrajan, Vimal, and de Souza, Rafael S. Bayesian estimation of the $S$ factor and thermonuclear reaction rate for 16O(p, γ)17F. United States: N. p., 2022.
Web. doi:10.1103/physrevc.106.055802.
Iliadis, Christian, Palanivelrajan, Vimal, & de Souza, Rafael S. Bayesian estimation of the $S$ factor and thermonuclear reaction rate for 16O(p, γ)17F. United States. https://doi.org/10.1103/physrevc.106.055802
Iliadis, Christian, Palanivelrajan, Vimal, and de Souza, Rafael S. Mon .
"Bayesian estimation of the $S$ factor and thermonuclear reaction rate for 16O(p, γ)17F". United States. https://doi.org/10.1103/physrevc.106.055802. https://www.osti.gov/servlets/purl/1907661.
@article{osti_1907661,
title = {Bayesian estimation of the $S$ factor and thermonuclear reaction rate for 16O(p, γ)17F},
author = {Iliadis, Christian and Palanivelrajan, Vimal and de Souza, Rafael S.},
abstractNote = {The 16O(p, γ)17F reaction is the slowest hydrogen-burning process in the CNO mass region. Its thermonuclear rate sensitively impacts predictions of oxygen isotopic ratios in a number of astrophysical sites, including AGB stars. The reaction has been measured several times at low bombarding energies using a variety of techniques. The most recent evaluated experimental rates have a reported uncertainty of about 7.5% below 1 GK. However, the previous rate estimate represents a best guess only and was not based on rigorous statistical methods. We apply a Bayesian model to fit all reliable 16O(p, γ)17F cross section data, and take into account independent contributions of statistical and systematic uncertainties. The nuclear reaction model employed is a single-particle potential model involving a Woods-Saxon potential for generating the radial bound state wave function. The model has three physical parameters, the radius and diffuseness of the Woods-Saxon potential, and the asymptotic normalization coefficients (ANCs) of the final bound state in 17F. Here, we find that performing the Bayesian S -factor fit using ANCs as scaling parameters has a distinct advantage over adopting spectroscopic factors instead. Based on these results, we present the first statistically rigorous estimation of experimental 16O(p, γ)17F reaction rates, with uncertainties (±4.2%) of about half the previously reported values.},
doi = {10.1103/physrevc.106.055802},
journal = {Physical Review. C},
number = 5,
volume = 106,
place = {United States},
year = {Mon Nov 07 00:00:00 EST 2022},
month = {Mon Nov 07 00:00:00 EST 2022}
}
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