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

Y. Nagai; M. Kakimoto; T. Hyodo; K. Fujiwara; H. Ikari; M. Eldrup; A. T. Stewart

doi:10.1103/PhysRevB.62.5531

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

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

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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 language	English
Pages (from-to)	5531-5535
Number of pages	5
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	62
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevB.62.5531
Publication status	Published - 2000 Sept 1
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.62.5531

Cite this

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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.",

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T1 - Temperature dependence of the momentum distribution of positronium in MgF2, SiO2, and H2O

AU - Nagai, Y.

AU - Kakimoto, M.

AU - Hyodo, T.

AU - Fujiwara, K.

AU - Ikari, H.

AU - Eldrup, M.

AU - Stewart, A. T.

PY - 2000/9/1

Y1 - 2000/9/1

N2 - 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.

AB - 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.

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

Abstract

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