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Coherence effects in neutron diffraction and gravity experiments

Daniel M. Greenberger* and A. W. Overhauser

Daniel M. Greenberger*

  • Department of Physics, City College of the City University of New York, New York, New York 10031

A. W. Overhauser

  • Department of Physics, Purdue University, West Lafayette, Indiana 47907

  • *Research supported in part by a grant from the PSC-BHE Research Award Program of the City University of New York.
  • Supported in part by the Materials Research Laboratory Program at the National Science Foundation.

Rev. Mod. Phys. 51, 43 – Published 1 January, 1979

DOI: https://doi.org/10.1103/RevModPhys.51.43

Abstract

The authors discuss the coherence properties of neutron scattering from perfect crystals and apply them to the splitting and coherent recombination of a neutron beam in a Laue-type interferometer. They also point out the difference between neutron and x-ray scattering in such devices and discuss the effect of a relative displacement of the various interferometer slabs on the fringe pattern. All this can be done without using the detailed dynamical theory of x-ray scattering. Various experiments are discussed, especially the neutron-gravity experiment of Colella, Overhauser, and Werner, which is analyzed both in the laboratory frame and in a frame freely falling with the neutron beam. The older electron diffraction experiment of Marton et al., and its relevance to the Aharonov—Bohm effect, is also discussed and reinterpreted, because the standard interpretation is not consistent with the results of the neutron experiment. An Appendix presents a general discussion of the transformation to a uniformly accelerated reference frame, as a guide to help analyze future such experiments.

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