Abstract
Currently, one of the most important unanswered questions in astrophysics and nuclear astrophysics is the “Lithium problem”, which refers to the mismatch between the experimental and theoretical values of lithium abundance in Big-Bang nucleosynthesis. Finding a solution for this problem and making a match between these two values can be another proof to one of three pillars of the Big Bang theory, and can also help to improve the calculating method of the existing nuclei abundance. One of the newest used methods so as to calculate the reaction rates is the Bayesian method. This study focuses on the details of the Bayesian statistics application in astrophysical calculations, and a narrative review of all the performed studies in this field is presented, as well. This study, after reviewing all the studies in this field, considers the mentioned method as a new method for reaction rate and nuclei cross-sectional calculations, which leads to small but valuable improvements in the results of the previous calculations.
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Notes
Wilkinson Microwave Anisotropy Probe.
Iranian Research Institute for Information Science and Technology.
Since Arai et al.'s (2011) model is effective for low energies, the calculated reaction rate can be calculated up to 2 GK.
It had already been proven that using either a single-level or multi-level model at energies below 100 keV for this reaction gives the same results.
An uncertainty with unknown sources.
Its standard deviation is in accordance with the Wigner limit for deuterons and neutrons.
An approximate for the maximum value of a reduced width, which is also used to define dimensionless reduced width \(\left( {\gamma_{WL}^{2} \equiv \hbar \mu_{c} a_{c}^{2} } \right)\).
The use of EB symbol is to show that Er has nothing to do with resonant energy; because it is not possible to accurately measure it in a wide resonance.
Because the reaction can proceed using incident 3He on a deuterium target, or incident deuterium on a 3He target.
The lower limit of the integral was 10 eV.
However, in the mentioned research, this amount of change for the mentioned reaction rate has not been claimed by authors.
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All Figures and Tables of this study (except Tables 4 and 5) have been taken from references and have been reused only to summarize their results, hence, all the results related to the Figures belong to the main authors and publishers of the references. Therefore, all rights are reserved for them, and in order to protect their rights, the authorities and sources of all Figures and Tables have been mentioned. We thank all of them for this.
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Mr Seyyed Soheil Esmaeili, Prof. Abbas Ghasemizad, Prof. Omid Naserghodsi and Dr Seyyed Mahdi Teymoori Sendesi. The first draft of the manuscript was written by Mr Seyyed Soheil Esmaeili and Prof. Abbas Ghasemizad, Prof. Omid Naserghodsi and Dr Seyyed Mahdi teymoori Sendesi commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Esmaeili, S.S., Ghasemizad, A., Naserghodsi, O. et al. A Review on Bayesian Calculation of Nuclear Astrophysical Reaction Rates and Uncertainties. Iran J Sci Technol Trans Sci 46, 1085–1102 (2022). https://doi.org/10.1007/s40995-022-01315-4
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DOI: https://doi.org/10.1007/s40995-022-01315-4