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Exact calculation of the muon polarization function

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Abstract

The spin dynamics of a polarized muon at an interstitial lattice site interacting with four or six nearest neighbouring nuclear spins withJ=1/2 has been investigated. The difference from the results of the Kubo-Toyabe theory is pointed out. The interaction of a muon with four nuclei with spinJ=1 including both dipolar and quadrupolar effects is considered, and some numerical results are shown.

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References

  1. R. Kubo and T. Toyabe, in: Magnetic Resonance and Relaxation, ed. R. Blinc (North-Holland, Amsterdam, 1966)

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  2. R.S. Hayano, Y.J. Uemura, J. Imazato, N. Nishida, T. Yamazaki, and R. Kubo, Phys. Rev.B 20 (1979) 850

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  3. C.W. Clawson et al.; R. Kadano et al., and J.M. Welter et al., this conference

  4. M. Celio and P.F. Meier, Phys. Rev.B 27 (1983) 1908. K. Petzinger pointed out to us that the zero-field relaxation function for a muon at an octahedral or tetrahedral interstitial site is isotropic. The curve labelled «100» in Fig. 2 is indeed wrong and the function calculated for the polycrystalline average applies to all directions.

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Authors and Affiliations

  1. Institut für Theoretische Physik, University of Zürich, 8001, Zürich, Switzerland

    M. Celio

  2. Physik-Institut, University of Zürich, 8001, Zürich, Switzerland

    P. F. Meier

Authors
  1. M. Celio
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  2. P. F. Meier
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Celio, M., Meier, P.F. Exact calculation of the muon polarization function. Hyperfine Interact 18, 435–440 (1984). https://doi.org/10.1007/BF02064849

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  • DOI: https://doi.org/10.1007/BF02064849

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