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Interaction Between Neutrons and Matter

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Abstract

Studying the behavior of neutrons in a reactor enables us to understand how fission phenomena occur and how they may be controlled in a power reactor. The science of neutrons, or neutron physics, is greatly indebted to Enrico Fermi, who contributed extensively to the mathematics in this field thanks to his initial mathematical training. The relatively slow speed of neutrons in reactors nevertheless means that no relativistic effects need to be taken into account, which greatly simplifies calculations. However, this speed is not always sufficiently rapid to allow the intrinsic speed of target atoms to be overlooked due to the temperature. In this context, the notion of reference frameworks (laboratory or center of mass) is thus capital.

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Notes

  1. 1.

    The index s generally refers to data items relating to scattering.

  2. 2.

    L. Wolfenstein and J. Ashkin , Physical Review, 85, 947 (1952).

  3. 3.

    Care should be taken to record the energies (in the laboratory framework) before collision as E’, and after collision as E, in accordance with the procedures for writing scattering integrals.

  4. 4.

    Sir Patrick Maynard Stuart Blackett (1897–1974) was an English physicist who completed his studies at Cambridge in 1921. He was extremely familiar with the experimental sciences in the dynamic setting of the Cavendish Laboratory, and thanks to his monk-like devotion to his work, which involved taking more than 20,000 photographs in his Wilson chamber, in 1925 he managed to identify only 8 collisions demonstrating the first transmutation of nitrogen-14 to oxygen-17 as a result of the capture of an α particle. Together with Guiseppe P. S. Occhialini , on February 7, 1933, he experimentally confirmed the existence of the positron, which had been discovered in cosmic rays by Carl D. Anderson in 1932. He was awarded the Nobel Prize for physics in 1948 for his work on cosmic rays, and he became President of the Royal Society in 1965.

    figure a

    (The Marguet collection)

  5. 5.

    Richard Babut : Modélisation des réactions (α, n) sur les noyaux légers pour déterminer la source inhérente d’un réacteur nucléaire [Modelling (α, n) reactions on light nuclei to determine the inherent source of a nuclear reactor], PhD thesis, Université Blaise Pascal (2002).

  6. 6.

    For an overview of ternary fission, a useful discussion is provided by N. Feather (Physics and Chemistry of Fission, 1969, p83).

  7. 7.

    The invention of the term barn for cross sections is ascribed to M.G. Holloway and C.P. Parker while they were working late into the night of December 1942 on the atomic bomb project in Los Alamos. “If a neutron is a tomato, then U238 has a cross-section as big as a barn!”. Terms based on the names of key project leaders were thus narrowly avoided: the Oppenheimer, which was considered too long, or the Bethe, considered too… Greek!

  8. 8.

    Care should thus be taken to avoid calculating function σ(E) with a change in the variable normally used in probability theory:

    $$ \sigma (v)\; dv=\frac{\sigma_0{v}_0}{\sqrt{2E/m}} dv=\frac{\sigma_0{v}_0}{\sqrt{2E/m}}\frac{dE}{mv}=\frac{2{\sigma}_0{v}_0}{E} dE=\upsigma (E)\; dE $$

    since in this formula, the unit of the new functional σ(E) is barns/(m.s−1), which is inconsistent with the unit of I. The exact calculation must thus incorporate σ(E) expressed in barns.

  9. 9.

    pcm = pour cent mille. This unit is used particularly to express the reactivity.

  10. 10.

    Otto Hahn, Fritz Strassman: Uber den nachweis und das verhalten der bei bestrahlung des urans mittels neutronentstehenden erdalkalimetalle [On the detection and characteristics of the alkaline earth metals formed by irradiation of uranium with neutrons], Die Naturwissenschaften, No 27, p. 11–15 (9 January 1939).

  11. 11.

    Lise Meitner, Otto Frisch : Disintegration of Uranium by Neutrons: a New Type of Nuclear Reaction, Nature, No 143, p. 239–240 (11 February 1939).

  12. 12.

    Hans Von Halban Junior, Frédéric Joliot, Lew Kowarski: Liberation of neutrons in the nuclear explosion of uranium, Nature No 143, p. 470–471, (8 March 1939).

  13. 13.

    R.J. Howerton, Nuclear Science and Engineering, 62, 438, 1977.

  14. 14.

    Reactor Physics Constants, ANL-5800, second edition, 1963.

  15. 15.

    J. Terrell , Fission Neutron Spectra and Nuclear Temperatures, Phys. Rev. 113, No 2, p. 527 (1959).

  16. 16.

    B. E. Watt, Phys.Rev. 87, p. 1037 (1952).

  17. 17.

    This relatively unorthodox term was used by staff managing the first French UNGG, stigmatizing the slow responses of the reactor, for example during the divergence stage.

  18. 18.

    A.C. Wahl (1985), Phys. Rev. C32, 184. For the record, Wahl is one of the co-discoverers of plutonium, along with Seaborg .

  19. 19.

    In particular: Musgrove et al: Prediction of Unmeasured Fission Yields, Proc. Panel Fission Product nuclear Data, Bologna IAEA-169 2,163.

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Marguet, S. (2017). Interaction Between Neutrons and Matter. In: The Physics of Nuclear Reactors. Springer, Cham. https://doi.org/10.1007/978-3-319-59560-3_2

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