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Longitudinal muon spin relaxation in muonium-like systems

  • Session 8. Chemical Kinetics and Spin Dynamics
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Abstract

Nuclear spin-lattice relaxation in paramagnetic systems is treated using the classic expression for transition probability between the coupled electron and nuclear spin states. The rate equations governing the incoherent occupancies of these states are solved analytically (where possible) and numerically (where not) to construct the relaxation function for the nuclear spin. The method is illustrated for muonium, and the muonium-substituted molecular radicals, for the case of perturbation due to fluctuation of the local field,i.e. modulation of the interaction with a third spin. A slight departure from single exponential behaviour is demonstrated for slow fluctuations.

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References

  1. R. Kadono,Proc. μSR'90: Hyp. Int.64 (1990) 615; see also R. Kadono, R.F. Kiefl, E.J. Ansaldo, J.H. Brewer, M. Celio, S.R. Kreitzman and G.M. Luke, Phys. Rev. Lett.64 (1990) 665.

    Google Scholar 

  2. S.F.J. Cox, R.M. Macrae, W.G. Williams and D.G. Fleming,Gas, liquid and solid state studies of muon spin relaxation in organic radicals, these proceedings.

  3. D.G. Fleming, R.F. Kiefl, D.M. Garner, M. Senba, A.C. Gonzalez, J.R. Kempton, P.W. Percival, J.-C. Brodovitch, S.-K. Leung, D. Yu and S.F.J. Cox,Proc. μ.SR'90: Hyp. Int.64 (1990) 767; see also J.J. Pan, D.G. Fleming, M. Senba, D.J. Arseneau, R. Snooks, S. Baer, M. Hahn, R.F. Kiefl, P.W. Percival, J.-C. Brodovitch and S.F.J. Cox,Spin relaxation of muonated radicals in the gas phase, these proceedings.

    Google Scholar 

  4. S.F.J. Cox, G.H. Eaton and J.E. Magraw,Proc. μSR'90: Hyp. Int.64 (1990) 773.

    Google Scholar 

  5. J.H. Brewer, K.M. Crowe, F.N. Gygax and A. Schenck, Muon Physics3 (Academic Press N.Y., ed. V.W. Hughes and C.S. Wu, 1975) 3.

    Google Scholar 

  6. A. Abragam, Compt. Rend. Acad. Sci. (Paris)299 (1984) 95.

    Google Scholar 

  7. N. Bloembergen, E.M. Purcell and R.V. Pound, Phys. Rev.73 (1948) 679; see also A. Abragam,Principles of Nuclear Magnetism (Oxford OUP, 1961).

    Google Scholar 

  8. See for example J.C. Gill, Rep. Prog. Phys.38 (1975) 91.

    Google Scholar 

  9. M. Celio, Helvetica Physica Acta60 (1987) 600; see also M. Celio and P.F. Meier, Phys. Rev. B28 (1983) 39.

    Google Scholar 

  10. V.G. Nosov and I.V. Yakovleva, Nuclear Physics68 (1965) 609; see also B.D. Patterson, Rev. Mod. Phys.60 (1988) 69, plus references therein.

    Google Scholar 

  11. K. Jefferies, Phys. Rev.117 (1960) 1056.

    Google Scholar 

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Authors and Affiliations

  1. Rutherford Appleton Laboratory, ISIS, OX11 0QX, Chilton, Oxon, UK

    S. F. J. Cox & D. S. Sivia

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  1. S. F. J. Cox
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  2. D. S. Sivia
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Cox, S.F.J., Sivia, D.S. Longitudinal muon spin relaxation in muonium-like systems. Hyperfine Interact 87, 971–976 (1994). https://doi.org/10.1007/BF02068492

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