Temperature dependence of the momentum distribution of positronium in MgF2, SiO2, and H2O

Y. Nagai, M. Kakimoto, T. Hyodo, K. Fujiwara, H. Ikari, Morten Mostgaard Eldrup, A.T. Stewart

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    Abstract

    Temperature dependence of the momentum distribution of delocalized Bloch-positronium in solids is studied. The momentum distribution of the positronium, which is proportional to the energy integration of the spectral function weighted with the Bose distribution, is expressed in terms of the effective mass and the deformation potential of the crystal for positronium. A simple formula for the shape of the positronium peak in the 1D-ACAR spectrum is derived and applied to the analysis of the experimental data for MgF2, SiO2, and H2O in wide temperature ranges. An extraordinary broadening of the peak shape is observed for MgF2. It is interpreted as an effect of the umklapp phonon scattering. The diffusion constants of Ps in these materials are also estimated.
    Original languageEnglish
    JournalPhysical Review B
    Volume62
    Issue number9
    Pages (from-to)5531-5535
    ISSN2469-9950
    DOIs
    Publication statusPublished - 2000

    Cite this

    Nagai, Y., Kakimoto, M., Hyodo, T., Fujiwara, K., Ikari, H., Eldrup, M. M., & Stewart, A. T. (2000). Temperature dependence of the momentum distribution of positronium in MgF2, SiO2, and H2O. Physical Review B, 62(9), 5531-5535. https://doi.org/10.1103/PhysRevB.62.5531