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Neutron radiative capture cross section for sodium with covariance analysis

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Abstract

The neutron radiative capture cross sections measurement has been carried out for the \(^{23}\)Na nucleus in the neutron energy region from 0.6 to 3.2 MeV using the neutron activation technique followed by off-line \(\gamma \)-ray spectrometry. The measurement was made relative to the \(^{115}\)In(n,n\(\prime \) \(\gamma \))\(^{115}\hbox {In}^{m}\) reference monitor reaction cross section. The neutrons were produced via the \(^{7}\)Li(p,n)\(^{7}\)Be reaction. Detailed uncertainty propagation has been performed using the covariance analysis, and the measured cross sections are being reported with their uncertainties, covariance, and correlation matrix. The necessary corrections have been made for the low background neutron energy contribution, \(\gamma \)-ray true coincidence summing, and self-attenuation process. The obtained neutron spectrum averaged cross sections of \(^{23}\)Na(n,\(\gamma \))\(^{24}\)Na are discussed and compared with the existing cross sections data retrieved from the EXFOR database. EMPIRE-3.2 and TALYS-1.9 calculations were performed in order to determine the radiative capture cross section in this energy region. The present results are also compared with the evaluated nuclear data from ENDF/B-VIII.0, TENDL-2019, IRDFF-1.05, JENDL-4.0, and JEFF-3.3. The obtained cross section results are in good agreement with existing experimental data, evaluated libraries, and reaction models for the highest energy points (2.11 and 3.13 MeV), while the lowest-energy point at 0.61 MeV underestimates them.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the data generated during this study are contained in this article.]

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Acknowledgements

One of the authors (A.K.) thanks to the Board of Research in Nuclear Sciences, Department of Atomic Energy, Government of India [Sanction No. 36(6)/14/23/2016-BRNS], Department of Science and Technology, Ministry of Science and Technology, Government of India [Sanction No. INT/RUS/RFBR/P-250], and Science and Engineering Research Board, Government of India [Sanction No. CRG/2019/000360], for the financial support for this work. The authors also gratefully acknowledge the excellent cooperation of the FOTIA facility operators for the smooth operation of the accelerator throughout the experiment.

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Communicated by Alessia Di Pietro

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Gandhi, A., Sharma, A., Pachuau, R. et al. Neutron radiative capture cross section for sodium with covariance analysis. Eur. Phys. J. A 57, 1 (2021). https://doi.org/10.1140/epja/s10050-020-00322-6

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