Abstract
If Ultra-high energy cosmic rays (UHECRs) with E > 1020 eV are produced by a top down model, most of them are expected to be γ-rays. When a UHE gamma ray comes almost parallel to the geomagnetic field, it does not suffer geomagnetic cascade and its air shower development is suppressed by the Landau-Pomeranchuk-Migdal (LPM) effect. In order to investigate UHECRs of the top down origin, the correlation of "LPM hole" and the geomagnetic field observed by a space-based experiment may be a unique method to detect UHE γ-rays.
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