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On the coordinate of a singular point of time correlation functions for the system of nuclear magnetic moments of a crystal

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Abstract

The hypothesis concerning the existence of singular points on the imaginary time axis for a correlation function of a system with the dipole-dipole interaction of nuclear spins of a crystal is verified. Within the framework of the self-consistent fluctuating field theory taking into account the principal corrections related to the correlation of local fields, a result for this coordinate is obtained in terms of the ratios of lattice sums. Experimental values of this coordinate are calculated from the wings of the nuclear magnetic resonance absorption spectrum of a BaF2 crystal for the magnetic field directions along the three crystallographic axes. Good agreement of the theoretical and experimental results justifies this hypothesis.

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Authors and Affiliations

  1. Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia

    V. E. Zobov

  2. Krasnoyarsk State University, Krasnoyarsk, 660041, Russia

    M. A. Popov

Authors
  1. V. E. Zobov
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  2. M. A. Popov
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 124, No. 1, 2003, pp. 89–95.

Original Russian Text Copyright © 2003 by Zobov, Popov.

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Zobov, V.E., Popov, M.A. On the coordinate of a singular point of time correlation functions for the system of nuclear magnetic moments of a crystal. J. Exp. Theor. Phys. 97, 78–84 (2003). https://doi.org/10.1134/1.1600799

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  • DOI: https://doi.org/10.1134/1.1600799

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