New Energy Exploitation and Application

Article

Sensitivity of Neutron‑Induced Cross Sections to Pre‑Equilibrium Modelling in EMPIRE 3.2.3 Code

Olorunsola, A. B., Evuti, A. M., Atere, D. A., Abdulrauf, M., & Amanyi, M. I. (2026). Sensitivity of Neutron‑Induced Cross Sections to Pre‑Equilibrium Modelling in EMPIRE 3.2.3 Code. New Energy Exploitation and Application, 5(2), 41–50. https://doi.org/10.54963/neea.v5i2.2345

Authors

  • Abel Blessing Olorunsola

    Department of Physics, Faculty of Science, University of Abuja, Abuja 900106, Nigeria
  • Abdullahi Mohammed Evuti

    Department of Nuclear Engineering, Faculty of Engineering, University of Abuja, Abuja 900106, Nigeria
  • Damilola Abubakar Atere

    Department of Physics, Faculty of Science, University of Abuja, Abuja 900106, Nigeria
  • Mudashir Abdulrauf

    Department of Physics, Faculty of Science, University of Abuja, Abuja 900106, Nigeria
  • Matthew Inalegwu Amanyi

    Department of Physics, Faculty of Science, Federal University of Health Sciences, Otukpo 972261, Nigeria

Received: 30 January 2026; Revised: 28 April 2026; Accepted: 18 May 2026; Published: 26 May 2026

Modelling of neutron-induced reaction cross sections is essential for applied nuclear science and nuclear data evaluation. In this study, excitation functions for the reactions 32S(n,p)32P, 35Cl(n,α)32P, and 35Cl(n,p)35S were investigated from threshold energies up to 20 MeV. The calculations were performed using the EMPIRE 3.2.3 nuclear reaction code with different pre-equilibrium model options, namely MSD (Multi-Step Direct), MSC (Multi-Step Compound), PCROSS (Pre-equilibrium cross section), and HMS (Hybrid Monte Carlo Simulation). The theoretical results were compared with available experimental data over a broad energy range up to 20 MeV. The calculated cross sections show good agreement with experimental data near threshold energies, indicating the dominance of the compound nucleus mechanism in this region. However, as the incident neutron energy increases above approximately 5 MeV, noticeable discrepancies emerge among the model predictions, reflecting differences in the treatment of pre-equilibrium processes. In particular, the PCROSS model tends to produce relatively higher cross sections in the energy region between 7 MeV and 12 MeV, where multi-step pre-equilibrium effects become more significant. Overall, the results demonstrate that the choice of pre-equilibrium model has a substantial impact on the predicted cross sections. This study highlights the sensitivity of neutron-induced reaction calculations to reaction-mechanism inputs and provides useful guidance for the appropriate selection of model options within the EMPIRE framework for nuclear data evaluation and related applications.

Keywords:

Energy‑Dependent EMPIRE 3.2.3 Preequilibrium Emission Sensitivity Analysis Sulphur Chlorine Isotopes

References

  1. Olorunsola, A.; Bamikole, J.; Bello, A.; et al. Theoretical Prediction of Neutron-Induced Radiative Capture Cross Section of Some Isotopes of Minor Actinides. J. Nucl. Radiat. Sci. 2023, 2, 1.
  2. Sansarbaya, E.; Gledenov, Y.M.; Chuprakov, I.; et al. Cross Section for the ³⁵Cl(n,α)³²P Reaction in the 3.3–5.3 MeV Neutron Energy Region. Phys. Rev. C 2021, 104, 044620.
  3. Ige, O.O.; Olorunsola, A.B.; Adoyi, E.I.; et al. Cross-Section Calculations and Comparative Assessment of Al and Zr as Cladding for NIRR-1. Math. Model. Eng. Probl. 2024, 11, 2680–2656.
  4. Luo, J.; He, L.; Zhou, L.; et al. Determination of Cross Sections for the ⁸⁰Kr(n,2n)⁷⁹Kr Reaction in the Neutron Energy Range of 13–15 MeV. Chin. Phys. C 2025, 49, 084005.
  5. Herman, M.; Capote, R.; Carlson, B.; et al. EMPIRE: Nuclear Reaction Model Code System for Data Evaluation. Nucl. Data Sheets 2007, 108, 2655–2715.
  6. Koning, A.J.; Hilaire, S.; Goriely, S. TALYS: Modeling of Nuclear Reactions. Eur. Phys. J. A 2023, 59, 131.
  7. Kawano, T. CoH3: The Coupled-Channels and Hauser–Feshbach Code. In Proceedings of the 6th International Workshop on Compound-Nuclear Reactions and Related Topics (CNR*18), Berkeley, CA, USA, 24–28 September 2018; pp. 27–34.
  8. Jalili, A.; Pan, F.; Chen, A.X.; et al. Multilayer perceptron for fission yield predictions: A physics-guided approach. Phys. Rev. C 2026, 113, 034605.
  9. Olorunsola, A.B.; Bamikole, J.A.; Bello, A.A. Statistical Analysis of Neutron-Induced Capture Cross Section in Some Isotopes of Plutonium Using EMPIRE 3.2 Code. IOSR J. Appl. Phys. 2023, 15, 28–36.
  10. Hauser, W.; Feshbach, H. The Inelastic Scattering of Neutrons. Phys. Rev. 1952, 87, 366–373.
  11. Olorunsola, A.B.; Bamikole, J.A.; Bello, A.A.; et al. Model Calculation and Evaluation of Neutron-Induced Reaction Cross Section on ²³⁷Np, ²⁴¹Am, and ²⁴⁵Cm Using the EMPIRE 3.2 Code. AIP Conf. Proc. 2023, 2754, 030010.
  12. Carlson, B.V.; Herman, M.; Rego, M.E.; et al. Exclusive Multiple Emission Cross Sections in the Hybrid Monte Carlo Preequilibrium Model and in EMPIRE-3.1. Nucl. Data Sheets 2014, 118, 276–279.
  13. Galanopoulos, S.; Vlastou, R.; Demetriou, P.; et al. Statistical Model Calculations of ⁷²,⁷⁴Ge(n,p) and ⁷²,⁷⁴Ge(n,α) Reactions on Natural Ge. HNPS Adv. Nucl. Phys. 2020, 15, 104–110.
  14. Olorunsola, A.B.; Ige, O.O.; Ayemowa, M.O.; et al. Study of Optimal Model and Parameters of the Th–U Cycle Nuclei. Energy Storage Sav. 2026, in press. DOI: https://doi.org/10.1016/j.enss.2025.09.001
  15. Al-Abyad, M.; Spahn, I.; Sudár, S.; et al. Nuclear data for production of the therapeutic radionuclides 32P, 64Cu, 67Cu, 89Sr, 90Y and 153Sm via the (n,p) reaction: Evaluation of excitation function and its validation via integral cross-section measurement using a 14 MeV d(Be) neutron source. Appl. Radiat. Isot. 2006, 64, 717–724.
  16. Soltani-Farshi, M.; Meyer, J.D.; Misaelides, P.; et al. Cross Section of the ³²S(α,p)³⁵Cl Nuclear Reaction for Sulphur Determination. Nucl. Instrum. Methods Phys. Res. B 1996, 113, 399–402. DOI: https://doi.org/10.1016/0168-583X(95)01415-2
  17. Batchelder, J.C.; Chong, S.A.; Morrell, J.; et al. Possible Evidence of Nonstatistical Properties in the ³⁵Cl(n,p0)³⁵S Cross Section. Phys. Rev. C 2019, 99, 044612.
  18. Kuvin, S.A.; Lee, H.Y.; Kawano, T.; et al. Nonstatistical Fluctuations in ³⁵Cl(n,p)³⁵S Reaction Cross Section at fast-neutron energies from 0.6 to 6 MeV. Phys. Rev. C 2020, 102, 024623.
  19. Raynal, J. Optical-Model and Coupled-Channel Calculations in Nuclear Physics. In ICTP International Seminar Course; IAEA/ICTP: Trieste, Italy, 1979; p. 281.
  20. Tamura, T.; Udagawa, T.; Lenske, H. Multistep direct reaction analysis of continuum spectra in reactions induced by light ions. Phys. Rev. C 1982, 26, 379.
  21. Lenske, H.; Wolter, H.H. Statistical Direct Reaction Theory for Dissipative Heavy Ion Collisions. Nucl. Phys. A 1992, 483–490.
  22. Nishioka, H. Statistical Theory of Nuclear Reactions: Comparisons with Unimolecular Reactions and Microcluster Productions. Prog. Theor. Phys. Suppl. 1994, 116, 451–456.
  23. Cline, C.K. Extensions to the pre-equilibrium statistical model and a study of complex particle emission. Nucl. Phys. A 1972, 193, 417–437.
  24. Ribanský, E.; Obložinský, P.; Beták, E. Pre-Equilibrium Decay and the Exciton Model. Nucl. Phys. A 1973, 205, 545–560.
  25. Blann, M.; Mignerey, A. Pre-Equilibrium Decay at Moderate Excitations. Nucl. Phys. A 1972, 186, 245–256.
  26. Allen, L.; Bigger, W.A.; Prestwood, R.J.; et al. Cross Sections for ³²S(n,p)³²P and ³⁴S(n,α)³¹Si Reactions. Phys. Rev. 1957, 107, 1363.
  27. Paulsen, A.; Liskien, H. Cross Sections for Some (n,p) Reactions Near Threshold. In Proceedings of the Conference on Nuclear Data for Reactors: Nuclear Data, Microscopic Cross Sections and Other Data Basic for Reactors, Paris, France, 17–21 October 1966; pp. 217–224. Available online: https://www.osti.gov/biblio/4551955-cross-sections-some-reactions-near-threshold?utm_
  28. Otuka, N.; Dupont, E.; Semkova, V.; et al. EXFOR: Experimental Nuclear Reaction Data Library. Nucl. Data Sheets 2014, 120, 272.
  29. Hanselman, K.; Kuvin, S.A.; Lee, H.Y.; et al. Improved Modelling of Neutron-Induced Reactions on Chlorine Isotopes Aided through New (n,p) and (n,α) Measurements at LANSCE. Phys. Rev. C 2024, 110, 024609.