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Theoretical uncertainties of (d,\(^{3}\)He) and (\(^{3}\)He,d) reactions owing to the uncertainties of optical model potentials

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Abstract

The theoretical uncertainties of single proton transfer cross sections of the (\(^{3}\)He,d) and (d,\(^{3}\)He) reactions, owing to the uncertainties of the entrance- and exit-channel optical model potentials, are examined with the \(^{30}\)Si(\(^{3}\)He,d)\(^{31}\)P, \(^{13}\)B(d,\(^{3}\)He)\(^{12}\)Be, and \(^{34}\)S(\(^{3}\)He,d)\(^{35}\)Cl reactions at incident energies of 25, 46, and 25 MeV, respectively, within the framework of the distorted wave Born approximation. The differential cross sections at the first peaks in the angular distributions of these reactions are found to have uncertainties of approximately 5%, owing to the uncertainties in the optical model potentials from 20,000 calculations of randomly sampled parameters. This amount of uncertainty is found to be nearly independent of the angular momentum transfer and the target masses within the studied range of incident energies. Uncertainties in the single proton spectroscopic factors obtained by matching the theoretical and experimental cross sections at different scattering angles are also discussed.

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Data availability

The data that support the findings of this study are openly available in Science Data Bank at https://www.doi.org/10.57760/sciencedb.j00186.00011 and https://cstr.cn/31253.11.sciencedb.j00186.00011.

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Authors and Affiliations

  1. School of Physics, Beihang University, Beijing, 100191, China

    Wei-Jia Kong

  2. School of Physics and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing, 100191, China

    Dan-Yang Pang

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  1. Wei-Jia Kong
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Contributions

All authors contributed to work in this paper. Data collection and analysis were performed by Wei-Jia Kong and Dan-Yang Pang. The first draft of the manuscript was written by Dan-Yang Pang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Dan-Yang Pang.

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The authors declare that they have no competing interests.

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This work was financially supported by the National Natural Science Foundation of China (No. U2067205).

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Kong, WJ., Pang, DY. Theoretical uncertainties of (d,\(^{3}\)He) and (\(^{3}\)He,d) reactions owing to the uncertainties of optical model potentials. NUCL SCI TECH 34, 95 (2023). https://doi.org/10.1007/s41365-023-01242-y

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