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Empirical Formulation of (n, p) Nuclear Cross-Section at 14–15 meV

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Proceedings of the 6th International Conference on Fundamental and Applied Sciences

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Abstract

The empirical equation of (n, p) nuclear cross-section is formulated at 14–15 meV incident neutron energy. The data used for the construction of the empirical formula is obtained from EXFOR with a mass range of \(9 < A < 111\). From the data, we fit empirical formula with exponential dependency of \(\left( {\frac{N - Z + A}{A}} \right)^{n}\) where n is determined from the non-linear fitting. The empirical formulation is then compared using the chi-square coefficient as a quality criterion. The derived empirical formulation is compared with five previously published formulation. We show that the new formulation derived in this work gives good agreement with the experimental nuclear cross-section value.

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References

  1. Kara, A., Yiğit, M., Korkut, T., Tel, E.: Cross section calculations of neutron induced reactions on 124,126,128,134,136Xe. J. Fusion Energy 34(4), 882–886 (2015)

    Article  Google Scholar 

  2. Qaim, S.M.: Nuclear data relevant to the production and application of diagnostic radionuclides. Radiochim. Acta 89(4–5/2001), 223 (2001)

    Google Scholar 

  3. Zerkin, V.V., Pritychenko, B.: The experimental nuclear reaction data (EXFOR): Extended computer database and web retrieval system (2018)

    Google Scholar 

  4. Semkova, V., Otuka, N. Simakov, S.P., Zerkin, V.: Experimental nuclear reaction data collection EXFOR. In: 2011 2nd International Conference on Advancements in Nuclear Instrumentation, Measurement Methods and their Applications, pp. 2–4 (2011)

    Google Scholar 

  5. Otuka, N. et al.: Towards a more complete and accurate experimental nuclear reaction data library (EXFOR): International collaboration between nuclear reaction data centres (NRDC). Nucl. Data Sheets (2014)

    Google Scholar 

  6. Levkovskii, V.N.: Empirical behavior of the (n, p) cross-section for 14–15 meV neutrons. Sov. Phys. JETP 18, 213 (1964)

    Google Scholar 

  7. Yiğit, M.: Analysis of (n, p) cross sections near 14 meV. Appl. Radiat. Isot. 135(January), 115–122 (2018)

    Article  Google Scholar 

  8. Ait-Tahar, S.: The systematics of (n, p) cross sections for 14 meV neutrons. J. Phys. G Nucl. Phys. 13(7), L121 (1987)

    Article  ADS  Google Scholar 

  9. Ikeda, Y., Konno, C., Kasugai, Y., Kumar, A.: Summary of activation cross section measurements at FNS (1996)

    Google Scholar 

  10. Doczi, R., Buczko, C.M., Csikai, J., Semkova, V., Majdeddin, A.D.: Investigations on (n, p) Cross Sections in the 14 meV Region (1997)

    Google Scholar 

  11. Luo, J., Tuo, F., Zhou, F., Kong, X.: Semi-empirical systematics for the cross-sections of the reactions (n,α), (n,p) and (n,2n) at 14.5 meV neutrons on the basis of experimental data measured by Lanzhou University. Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms 266(22), 4862–4868 (2008)

    Google Scholar 

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Acknowledgements

The authors express their appreciation to Yayasan Universiti Teknologi PETRONAS for the financial support of this study in the form of a research grant (YUTP Cost Centre: 015LC0-063).

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Hamid, M.A.B., Guan, B.H., Chew, X.Y., Ayub, S. (2021). Empirical Formulation of (n, p) Nuclear Cross-Section at 14–15 meV. In: Abdul Karim, S.A., Abd Shukur, M.F., Fai Kait, C., Soleimani, H., Sakidin, H. (eds) Proceedings of the 6th International Conference on Fundamental and Applied Sciences. Springer Proceedings in Complexity. Springer, Singapore. https://doi.org/10.1007/978-981-16-4513-6_63

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  • DOI: https://doi.org/10.1007/978-981-16-4513-6_63

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  • Print ISBN: 978-981-16-4512-9

  • Online ISBN: 978-981-16-4513-6

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