Resonance Absorption of Nuclear Gamma Rays and the Dynamics of Atomic Motions

K. S. Singwi and A. Sjölander
Phys. Rev. 120, 1093 – Published 15 November 1960
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Abstract

The theory of resonance absorption of nuclear γ rays is generalized for an arbitrary system of interacting particles by expressing the relevant transition probability in terms of a space-time self-correlation function; and thus relating the resonance line shape to the incoherent differential scattering cross section for slow neutrons. Two limiting cases: (i) a gas and (ii) a solid have been considered. Discussion regarding the justification of the use of a classical self-diffusion function for a liquid is given and expressions for the broadening of the resonance line due to diffusive motions of the atoms of the interacting system are derived. It is suggested how Mössbauer-type experiment could be used to give information regarding the diffusive motions of atoms in a solid and also, under more favorable circumstances, in a liquid.

  • Received 13 June 1960

DOI:https://doi.org/10.1103/PhysRev.120.1093

©1960 American Physical Society

Authors & Affiliations

K. S. Singwi and A. Sjölander

  • Argonne National Laboratory, Argonne, Illinois

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Issue

Vol. 120, Iss. 4 — November 1960

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