Similarity theory in neutron kinetics and its implications for RFNC—VNIIEF applied research

N.B. Babichev, P.S. Bondarev, V.P. Neznamov
Russian Federal Nuclear Center - All-Russian Research Institute of Experimental Physics, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607188, Russian Federation

Exact similarity relations resulting from the neutron kinetic equation are presented. A number of eigenvalue problem solutions are obtained. Analytical solutions for the stationary and nonstationary formulations of the Milne problem are given.

PACS: 01.65.+g, 14.20.Dh (all)
DOI: 10.3367/UFNe.0181.201109b.0953
URL: https://ufn.ru/en/articles/2011/9/b/
Web of Science

000298416500002
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2011PhyU...54..919B
Citation: Babichev N B, Bondarev P S, Neznamov V P "Similarity theory in neutron kinetics and its implications for RFNC—VNIIEF applied research" Phys. Usp. 54 919–929 (2011)

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Received: 22nd, December 2010, revised: 25th, February 2011, accepted: 3rd, March 2011

Оригинал: Бабичев Н Б, Бондарев П С, Незнамов В П «Теория подобия в нейтронной кинетике и её использование для решения прикладных задач РФЯЦ — ВНИИЭФ» УФН 181 953–963 (2011); DOI: 10.3367/UFNr.0181.201109b.0953

References (19) Similar articles (20) ↓

A.I. Frank “Optics of ultracold neutrons and the neutron-microscope problem” Sov. Phys. Usp. 30 110–133 (1987)
E.P. Shabalin “Electric dipole moment of the neutron in gauge theory” Sov. Phys. Usp. 26 297–310 (1983)
P. Miller “Search for an electric dipole moment of the neutron” Sov. Phys. Usp. 11 500–503 (1969)
A.P. Serebrov “Fundamental interactions involving neutrons and neutrinos: reactor-based studies led by the Petersburg Nuclear Physics Institute (National Research Center "Kurchatov Institute") [PNPI (NRC KI)]” Phys. Usp. 58 1074–1094 (2015)
V.K. Ignatovich “Ultracold neutrons — discovery and research” Phys. Usp. 39 283–304 (1996)
I.M. Frank “Neutron optics and ultracold neutrons” Sov. Phys. Usp. 34 (11) 988–996 (1991)
V.A. Tsarev “Cold fusion” Sov. Phys. Usp. 33 (11) 881–910 (1990)
A.I. Akhiezer, M.P. Rekalo “Electric charge of elementary particles” Sov. Phys. Usp. 17 864–874 (1975)
B.S. Ishkhanov, I.M. Kapitonov “Giant dipole resonance of atomic nuclei. Prediction, discovery, and research” Phys. Usp. 64 141–156 (2021)
Yu.M. Ado, V.A. Anferov “Acceleration of polarised protons to high energies in synchrotrons” Phys. Usp. 37 1147–1155 (1994)
S.G. Suvorov “On the roles of experiment and theory in cognition (comment on the article by Max Born)” Sov. Phys. Usp. 1 179–190 (1958)
G.R. Ivanitskii “21st century: what is life from the perspective of physics?” Phys. Usp. 53 327–356 (2010)
I.M. Dremin “Unexpected interaction properties between high energy protons” Phys. Usp. 60 333–344 (2017)
Yu.A. Akulov, B.A. Mamyrin “Helium-isotope mass-spectrometric method for studying tritium beta decay (idea, experiment, nuclear and molecular physics applications)” Phys. Usp. 46 1153–1162 (2003)
P.A. Alekseev, V.N. Lazukov, P.S. Savchenkov “Neutron magnetic form factor in studies of f-electron instability” Phys. Usp. 68 653–667 (2025)
V.S. Beskin “Axisymmetric stationary flows in compact astrophysical objects” Phys. Usp. 40 659–688 (1997)
D.M. Sedrakyan, K.M. Shakhabasyan “Superfluidity and the magnetic field of pulsars” Sov. Phys. Usp. 34 (7) 555–571 (1991)
I.S. Shapiro “Some problems in the theory of nuclear reactions at high energies” Sov. Phys. Usp. 10 515–535 (1968)
V.V. Anisovich, A.A. Ansel’m “Theory of reactions with production of three particles near threshold” Sov. Phys. Usp. 9 117–141 (1966)
D.I. Blokhintsev “Basis for special relativity theory provided by experiments in high energy physics” Sov. Phys. Usp. 9 405–413 (1966)

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