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Slowing Down of Neutrons in Zirconium Hydride

Pekka Jauho, Jussi Manninen

Nuclear Science and Engineering

Volume 27 / Number 1 / January 1967 / Pages 45-50


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A method based on a power series expansion of the neutron spectrum in time is used to solve the space-independent Boltzmann equation. The coefficients are obtained from a relatively simple recursion formula well suited for numerical calculations. Assuming the atoms of a hydrogenous moderator free when the neutron energy is large, this formula is further simplified. Adopting the Einstein oscillator model and transforming the recursion formula into a matrix equation, the time-dependent energy spectrum of neutrons in zirconium hydride has been calculated with a small computer.

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