Parameterization of prompt neutron multiplicity for first-chance actinide photofission

Volume 8, Issue 5, October 2023     |     PP. 470-487      |     PDF (3288 K)    |     Pub. Date: September 6, 2023
DOI: 10.54647/physics140574    71 Downloads     170656 Views  

Author(s)

Eugene V. Oleinikov, Institute of Electron Physics, Universitetska str., 21, 88017 Uzhhorod, Ukraine
Alexander I. Lengyel, Institute of Electron Physics, Universitetska str., 21, 88017 Uzhhorod, Ukraine
Oleg O. Parlag, Institute of Electron Physics, Universitetska str., 21, 88017 Uzhhorod, Ukraine
Volodymyr T. Maslyuk, Institute of Electron Physics, Universitetska str., 21, 88017 Uzhhorod, Ukraine
Igor V. Pylypchynets, Institute of Electron Physics, Universitetska str., 21, 88017 Uzhhorod, Ukraine

Abstract
A parametric description of the dependence of the average number of prompt neutrons on the mass of fragments ν(A) from the actinides ( 235U and 238U) photofission has been developed for the range of energies of the first chance of fission (from thresholds of (γ,f) reaction to thresholds of (γ,nf) reactions). The proposed method gives a possibility to describe the dependence of "saw-tooth" behavior of prompt neutron yield from fission fragments, using several free parameters dependent on the energy and composition of nucleons, and to predict ν(A) for other isotopes of actinides. The phenomenological Wahl method was applied to estimate the number of neutrons emitted by corresponding fission fragments of atomic mass A. The total averaged number of prompt neutrons needs to construct the parametrizing function, which reasonably reproduces the characteristic features of its behavior and parameterization of an average number of prompt neutrons. To verify the proposed parametrization, according to the established fact of the equivalence of the formation of identical compound nuclei caused by reactions stimulated by photons and neutrons, calculations were carried out for the compound nuclei 234U*, 236U*, 238Np*, 240Pu*, formed as a result of neutron fission reactions for which the experimental data is present. The results of the calculations obtained by the parametric formula of the dependence of the neutron yield on the fragment mass for the indicated fissile nuclei are consistent with experimental data within the error limits. It should be noted that the dependence values of the prompt neutron yield on the light and heavy fragments of photofission for the specified actinides, obtained as a result of calculations using the parametric formula, and additionally carried out simulations with the codes GEF, TALYS, qualitatively agree with each other and reflect the structure, characteristic of the available experimental data of actinoid fission.

Keywords
photofission, total average prompt neutron yield, number of neutrons from fission fragments, separation energy, Wahl method, Talys, GEF

Cite this paper
Eugene V. Oleinikov, Alexander I. Lengyel, Oleg O. Parlag, Volodymyr T. Maslyuk, Igor V. Pylypchynets, Parameterization of prompt neutron multiplicity for first-chance actinide photofission , SCIREA Journal of Physics. Volume 8, Issue 5, October 2023 | PP. 470-487. 10.54647/physics140574

References

[ 1 ] K.-H. Schmidt, B. Jurado, “Review on the progress in nuclear fission – experimental methods and theoretical descriptions”, Reports on Progress in Physics, 81, 106301 (2018) https://doi.org/10.1088/1361-6633/aacfa7
[ 2 ] T. Kawano, Y.S. Cho, P. Dimitriou et al. (+ 25), “IAEA Photonuclear Data Library 2019”, Nuclear Data Sheets, 163, 109-162 (2020) https://doi.org/10.1016/j.nds.2019.12.002
[ 3 ] V.V. Zerkin, B. Pritychenko, “The experimental nuclear reaction data (EXFOR): Extended computer database and Web retrieval system”, Nuclear Instruments and Methods in Physics Research: Section A, 888, 31-43 (2018) https://doi.org/10.1016/j.nima.2018.01.045
[ 4 ] Experimental nuclear reaction data (EXFOR). Database Version of 2023-06-16. Available from: https://www-nds.iaea.org/exfor/
[ 5 ] Hamid Aït Abderrahim, Michel Giot, “The Accelerator Driven Systems, a 21st Century Option for Closing Nuclear Fuel Cycles and Transmuting Minor Actinides”, Sustainability, 13, 12643 (2021) https://doi.org/10.3390/su132212643
[ 6 ] G. Bentoumi, R.B. Rogge, F. Ali, L. Li, B. Sur, “Investigation of in-beam prompt and delayed neutron counting techniques for detection and characterization of special nuclear material”, Annals of Nuclear Energy, 152, 108001 (2021), https://doi.org/10.1016/j.anucene.2020.108001
[ 7 ] R.A. Soltz, A. Danagoulian, E.P. Hartouni, M.S. Johnson, S.A. Sheets, A. Glenn, S.E. Korbly, R.J. Ledoux, “Fissile material detection using neutron time-correlations from photofission”, AIP Advances, 9, 025011 (2019) https://doi.org/10.1063/1.5082174
[ 8 ] A. Zilges, D.L. Balabanski, J. Isaak, N. Pietrall, “Photonuclear reactions — From basic research to applications”, Progress in Particle and Nuclear Physics, 122, 103903 (2022), https://doi.org/10.1016/j.ppnp.2021.103903
[ 9 ] Guan-Lin Wang, Hao-Yang Lan, Xiao-Ming Shi, Zhi-Chao Zhu, Wen Luo, “A general framework for describing photofission observables of actinides at an average excitation energy below 30 MeV”, Chinese Physics C, 46(8), 084102 (2022), https://doi.org/10.1088/1674-1137/ac6abc
[ 10 ] H. Naik, S.P. Dange, R.J. Singh, “Charge distribution of light mass fission products in the fast neutron induced fission of 237Np, 241Am and 243Am”, Applied Radiation and Isotopes, 179, 109993 (2022), https://doi.org/10.1016/j.apradiso.2021.109993
[ 11 ] O.O. Parlag, V.T. Maslyuk, E.V. Oleynikov, I.V. Pylypchynets, A.I. Lengyel, “Structure of mass-yield distributions of 232Th photofission product by bremsstrahlung at energy 17.5 MeV”, Scientific Herald of Uzhhorod University. Series “Physics” 49, 54-60 (2021) https://doi.org/10.24144/2415-8038.2021.49.54-60
[ 12 ] J. Lee, Y.‑O. Lee, T.‑S. Park, P. Schillebeeckx, S.‑W. Hong, “Semi‑empirical model to determine pre‑ and post‑neutron fission product yields and neutron multiplicity”, Journal of the Korean Physical Society, 80, 953–963 (2022), https://doi.org/10.1007/s40042-022-00490-2
[ 13 ] A.C Wahl, “Systematics of fission product yields”, Fission product yield data for the transmutation of minor actinide nuclear waste, IAEA, 117-148 (2008) https://www-pub.iaea.org/MTCD/Publications/PDF/Pub1286_web.pdf
[ 14 ] D. De Frenne, H. Thierens, B. Proot, E. Jacobs, P. De Gelder, A. De Clercq, and W. Westmeier, “Charge distribution for photofission of 235U and 238U with 12-30 MeV bremsstrahlung”, Physical Review C, 26(4), 1356-1368 (1982), https://doi.org/10.1103/PhysRevC.26.1356
[ 15 ] A. Tudora, D.M. Filipescu, and I. Gheorghe, “Prediction of prompt neutron spectra of the photon induced reactions on 238U and 232Th targets at incident energies from 4 to 22 MeV”, EPJ Web of Conferences, 284, 04024 (2023), https://doi.org/10.1051/epjconf/202328404024
[ 16 ] A. E. Lovell, T. Kawano, S. Okumura, I. Stetcu, M. R. Mumpower, P. Talou, “Extension of the Hauser-Feshbach fission fragment decay model to multichance fission”, Physical Review C, 103, 014615 (2021), https://doi.org/10.1103/PhysRevC.103.014615
[ 17 ] A. Tudora, F.-J. Hambsch, and V. Tobosaru, “Point-by-Point model calculation of the prompt neutron multiplicity distribution ν(A) for 238U(n,f) at incident neutron energies ranging from 1 MeV to 80 MeV”, Physical Review C, 94, 044601 (2016), https://doi.org/10.1103/PhysRevC.94.044601
[ 18 ] A.I. Lengyel, O.O. Parlag, V.T. Maslyuk, Yu.V. Kibkalo, "Phenomenological description of neutron yields for actinide fission", Problems of atomic science and technology: Series Nuclear Physics Investigations, 55(3), 14-18 (2011) https://vant.kipt.kharkov.ua/ARTICLE/VANT_2011_3/ article_2011_3_14.pdf
[ 19 ] A.I. Lengyel, O.O. Parlag, V.T.Maslyuk, Yu.V. Kibkalo, M.I. Romanyuk, “Parametrisation of prompt neutron yields from photofission fragments of actinide nuclei for the giant dipole resonance energy range”, Problems of atomic science and technology: Series Nuclear Physics Investigations, 95(5), 12-17 (2014), https://vant.kipt.kharkov.ua/ARTICLE/VANT_2014_5/article_2014_5_12.pdf
[ 20 ] F. James, M. Ross, “Function minimization and error analysis. MINUIT D506”, CERN Program Library Long Write up D506, 1-46 (1998) https://cds.cern.ch/record/2296388/files/minuit.pdf
[ 21 ] A.I. Lengyel, O.O. Parlag, V.T. Maslyuk, M.I. Romanyuk, O.O. Gritzay, “Calculation of average numbers of prompt neutrons for actinide photofission”, Journal of Nuclear and Particle Physics, 6(2), 43-46 (2016), https://doi.org/10.5923/j.jnpp.20160602.03
[ 22 ] J.M. Verbeke, C. Hagmann, D. Wright Simulation of neutron and gamma ray emission from fission and photofission. LLNL fission library 2.0.2 // UCRL-AR-228518-REV-1. October 24, 2016. LawrenceLivermore National Laboratory. https://nuclear.llnl.gov/simulation/fission.pdf
[ 23 ] K.-H. Schmidt, B. Jurado, C. Amouroux, C. Schmitt, “General Description of Fission Observables: GEF Model Code”, Nuclear Data Sheets, 131, 107-221 (2016), https://doi.org/10.1016/j.nds.2015.12.009
[ 24 ] GEF 2023/1.1. Release: January 12, 2023. Available from: http://www.khschmidts-nuclear-web.eu/GEF-2023-1-1.html
[ 25 ] A.J. Koning, D. Rochman, “Modern nuclear data evaluation with the TALYS code system”, Nuclear Data Sheets, 113, 2841-2934 (2012), https://doi.org/10.1016/j.nds.2012.11.002
[ 26 ] TALYS-1.96. Release date: December 30, 2021. Available from: https://tendl.web.psi.ch/tendl_2021/talys.html
[ 27 ] J. Terrell, “Neutron yields from individual fission fragments”, Physical Review, 127, 880-904 (1962), https://doi.org/10.1103/PhysRev.127.880
[ 28 ] M. Piessens, E. Jacobs, D. De Frenne, A. De Clercq, M. Verboven, G. De Smet, “Photon induced fission of 232Th with 12 and 20 MeV bremsstrahlung”, Proceedings of the XV-th International Symposium on Nuclear Physics (Nuclear Fission). November 11-15, 1985 in Gaussig. 92-95 (1986). https://www-nds.iaea.org/publications/indc/indc-gdr-0042G.pdf
[ 29 ] A.C. Wahl, R.L. Ferguson, D.R. Nethaway, “Nuclear-Charge distribution in low-energy fission”, Physical Review, 126, 1112-1127 (1962). https://doi.org/10.1103/PhysRev.126.1112
[ 30 ] W.J. Martin, C.R.E. de Oliveira, A.A. Hecht, “Dual neutral particle induced transmutation in CINDER2008”, Nuclear Instruments and Methods in Physics Research: Section A, 767, 163–168 (2014), https://doi.org/10.1016/j.nima.2014.08.048
[ 31 ] I.V. Pylypchynets, O.O. Parlag, E.V. Oleynikov, “Simulation the yields of actinide nuclei photofission products induced by bremsstrahlung of electron accelerators”, Scientific Herald of Uzhhorod University. Series “Physics”, 42, 169-177 (2017) (in ukr.), https://doi.org/10.24144/2415-8038.2017.42.169-177
[ 32 ] K. Nishio, M. Nakashima, I. Kimura, Y. Nakagome, “Multi-parametric measurement of prompt neutrons and fission fragments for 233U(nth,f)”, Journal of Nuclear Science and Technology, 35, 631-632 (1998). https://doi.org/10.1080/18811248.1998.9733919 (EXFOR # 22660.005)
[ 33 ] K. Nishio, Y. Nakagome, H. Yamamoto,I. Kimura, I. Kanno, “Multiplicity and energy of neutrons from 235U(nth,f) fission fragments” Nuclear Physics A, 632, 540-558 (1998), https://doi.org/10.1016/S0375-9474(98)00008-6 (EXFOR # 22464.004)
[ 34 ] R. Müller, A.A. Naqvig F. Kappeler, F. Dickmann, “Fragment velocities, energies, and masses from fast neutron induced fission of 235U”, Physical Review C, 29, 885-905 (1984), https://doi.org/10.1103/PhysRevC.29.885 (EXFOR # 21834.009)
[ 35 ] A. A. Naqvi, F. Käppeler, F. Dickmann, and R. Müller, “Fission fragment properties in fast-neutron-induced fission of 237Np”, Physical Review C, 34, 218-225 (1986), https://doi.org/10.1103/PhysRevC.34.218 (EXFOR # 21661.012)
[ 36 ] C. Tsuchiya, Y. Nakagome, H. Yamana, H. Moriyama, K. Nishio, I. Kanno, K. Shin, I. Kimura K. Nishio, M. Nakashima, I. Kimura, Y. Nakagome, “Simultaneous measurement of prompt neutrons and fission fragments for 239Pu(nth,f)”, Journal of Nuclear Science and Technology, 37, 941-948 (2000), https://doi.org/10.1080/18811248.2000.9714976 (EXFOR # 22650.004)
[ 37 ] Evaluated Nuclear Data File (ENDF). Database Version of 2022-04-22. Available from: https://www-nds.iaea.org/exfor/endf.htm
[ 38 ] I.V. Pylypchynets, E.V. Oleynikov, O.O. Parlag, “Simulation the yields of actinide nuclei photofission products as sources of delayed gamma radiation for the needs of analyzing their isotopic composition”, Scientific Herald of Uzhhorod University. Series “Physics”, 48, 38-49 (2020) https://doi.org/10.24144/2415-8038.2020.48.38-49.
[ 39 ] Nuclear Wallet Card Search. Nuclear Wallet Cards database version of 7/10/2019. Available from: https://www.nndc.bnl.gov/nudat2/indx_sigma.jsp
[ 40 ] Certificate of copyright registration for the work No. 120663 dated July 20, 2023 (Ukraine)
[ 41 ] Certificate of copyright registration for the work No. 120664 dated July 20, 2023 (Ukraine)