Some reactor kinetics mathematical modelling problems are considered in the framework of the standard 6- group delayed neutron constants (Keepin, ABBN, JENDL, ENDF/B6) with energy and isotope dependent precursor half-lives, and the new 8-group delayed neutron data (Spriggs, Campbell, Piksaikin) with "universal" precursor decay constant (or half-life) groups identical for all isotopes and energies.
1. Usachev, L.N., Equation for neutron importance, reactor kinetics and perturbation theory, Reactor Construction and Theory of Reactors, USSR Academy of Sciences, Moscow, 1955.
2. Henry, A.F., The Application of Reactor Kinetics to the Analysis of Experiments, Nucl. Sci. and Eng., v.3, No. 1, p. 52-70 (1958).
3. Keepin, G.R., Physics of nuclear reactor kinetics, Atomizdat, Moscow, 1967.
4. Shikhov, S.B., Mathematical theory of reactors, Atomizdat, Moscow, 1973.
5. Bell, D., Glasstone S., Nuclear reactor theory, Atomizdat, Moscow, 1974.
6. Hedrick, D., Nuclear reactor dynamics, Atomizdat, Moscow, 1975.
7. Abagyan, L.P., Bazazyants, N.O., Nikolaev, M.N., Tsibulya, A.M., Group constants for reactor and shielding calculations, Ehnergoatomizdat, Moscow, 1981.
8. Kazanskij, Yu.A., Matusevich, E.S., Experimental methods for reactor physics, Energoatomizdat, Moscow, 1984.
9. Shokodko, A.G., Zhuravlev, V.I., Sluchevskaya, V.M., Representation of several fissile isotopes by one effective isotope when determining reactivity by the inverse kinetic method, Voprosy atomnoj nauki i tekhniki, Ser. Fiz. i tekh. yad. reaktorov, No. 9 (6), p. 69-71 (1984).
10. Gulevich, A.V., Kukharchuk, O.F., Polevoj, V.B., Pupko, S.V., Application of an integral neutron kinetics model to the calculation of multiregion multiplying systems, Preprint IPPE-2129, Obninsk, 1990.
11. Bezborodov, A.A., Volkov, A.V., Ganina, S.M., Ginkin, V.P., Kuznetsov, I.A., Troyanova, N.M., Shvetsov, Yu.E., Programme for a joint solution to spatial-time neutron transport equations and thermohydraulic transient and emergency processes in fast reactors, Preprint IPPE-2637, Obninsk, 1997.
12. Maksyutenko, B.P., Relative delayed neutron yields for fast neutron induced fission of 238U, 235U and 232Th, Zhurnal Ehksperimentalnoj i Teoreticheskoj Fisiki, v. 35, p. 815 (1958).
13. Tarasko, M.Z., Maksyutenko, B.P., A new approach to the search for the distribution of delayed neutron precursors, Yadernaya Fizika, v. 17, No. 6, p. 1149-1155 (1973).
14. Meneley, D.A., The Effective Delayed Neutron Fraction in Fast Reactors, ANL-7410, 198 (1970).
15. Cahalan, J.E., Ott, K.O., Delayed Neutron Data for Fast Reactor Analysis, Nucl. Sci. Eng., 70, 184, (1973).
16. Tuttle, R.J., Delayed Neutron Data for Reactor Physics Analysis, Nucl. Sci. Eng., 56, p. 37-71 (1975).
18. Brady, M.C., England, T.R., Delayed Neutron Data and Group Parameters for 43 Fissioning Systems, Nucl. Sci. Eng., 103, p.129-149 (1989).
19. Manturov, G.N., Nikolaev, M.N., Tsibulya, A.M., ABBN-93 Group constants system, Voprosy atomnoj nauki i tekhniki, Ser. Yadernye konstanty, No. 1, p. 59-98 (1996).
20. Zabrodskaya, S.V., Nikolaev, M.N., Tsibulya, A.M., Data on delayed neutrons in the ABBN-93 constants system, Voprosy atomnoj nauki i tekhniki, Ser. Yadernye konstanty, No. 1, p. 21 (1998).
21. Spriggs, G.D., In-Pile Measurement of the Decay Constants and Relative Abundances of Delayed Neutrons, Nucl. Sci. Eng., 114, 342 (1993).
22. Spriggs, G.D., Campbell, I.M., Piksaikin, V.M., An 8-Group Neutron Model Based on a Consistent Set of Half-Lives, Report LA-UR-98-1619, LANL, Distributed to the OECD/NEA-s Working Party in Delayed Neutrons (WPEC/SG6), 1999.
23. Piksaikin, V.M., Kazakov, L.E., Isaev, S.G., Korolev, G.G., Roshchenko, V.A., Tertychnyj, R.G., 8-group relative delayed neutron yields for monoenergetic neutron induced fission of 239Pu, Voprosy atomnoj nauki i tekhniki, Ser. Yadernye konstanty, No. 1, p. 66-67 (2001).
24. Piksaikin, V.M., Kazakov, L.E., Isaev, S.G., Korolev, G.G., Roshchenko, V.A., Tertychnyj, R.G., 8-group relative delayed neutron yields for epithermal neutron induced fission of 238U and 239Pu, ibid, p. 67-72 (2001).
25. Doroshenko, A.Yu., Piksaikin V.M., Tarasko M.Z., The Energy Spectrum of Delayed Neutrons from Thermal Neutron Induced Fission on 235U and Its Analytical Approximation, Voprosy atomnoj nauki i tekhniki, Ser. Yadernye konstanty, No. 1, p. 87-93 (2001).
26. Borzakov, S.B., Zamyatin, Yu.S., Panteleev, Ts., et al., Study of delayed neutron decay curves during thermal neutron fission, Voprosy atomnoj nauki i tekhniki, Ser. Yadernye konstanty, No. 2, p. 5-11 (1999).
27. Updated Codes and Methods to Reduce the Calculational Uncertainties of the LMFR Reactivity Effects, Working Material, First Research Co-ordination Meeting, Vienna, 24-26 November 1999, p.11.
28. Abramov, B.D., Some questions on mathematical modelling of reactor kinetics, Preprint IPPE-2778, Obninsk, 1999.
29. Abramov, B.D., Danilychev, A.V., Stogov, V.Yu., Suslov, I.P., Questions on modelling the kinetics of heterogeneous regions with various types of fuel using point approximation, Preprint IPPE-2855, Obninsk, 2000.
30. Abramov, B.D., Some generalizations of reactor kinetics equations, Preprint IPPE-2875, Obninsk, 2001.
31. Abramov, B.D., Some modifications to the theory of coupled reactors, Atomnaya energiya, Vol. 90, No. 5, p. 337-345 (2001).
32. Abramov, B.D., Some modifications to point kinetics equations, Yadernaya energetika, No. 2, p. 52-59 (2001).
33. Abramov, B.D., Some generalizations of reactor inverse kinetics equations, Preprint IPPE-2970, Obninsk, 2003.