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On the properties of the "potential" neutron dispersion law in a refractive medium


Frank Neutron Physics Laboratory, Joint Institute of Nuclear Research, Dubna, Moscow Region, Russian Federation

It is known that the so-called potential law of neutron-wave dispersion in matter is distinct from all other dispersion laws in that the normal component of the wave vector in a medium depends only on its vacuum value. There is also another feature to the potential dispersion law, related to the statement that the neutron group velocity in a medium is equal to the product of its vacuum velocity by the refraction index. Although generally accepted as obvious, this statement turns out to be valid only for the potential dispersion law, for which the neutron effective mass in a medium is equal to the inertial one.

Text can be downloaded in Russian. English translation is available here.
Keywords: neutron waves, refractive medium, dispersion law, effective mass
PACS: 03.65.Nk, 03.75.Be (all)
DOI: 10.3367/UFNe.2017.11.038237
URL: https://ufn.ru/en/articles/2018/9/e/
Citation: Frank A I "On the properties of the "potential" neutron dispersion law in a refractive medium" Phys. Usp. 61 900–901 (2018)
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Received: 6th, May 2017, revised: 29th, October 2017, 10th, November 2017

Оригинал: Франк А И «О свойствах "потенциального" закона дисперсии нейтрона в преломляющей среде» УФН 188 997–998 (2018); DOI: 10.3367/UFNr.2017.11.038237

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