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Improved Bethe-Heitler formula. (English) Zbl 1473.81219

Summary: The Bethe-Heitler formula describes bremsstrahlung and it’s a typical and important example in quantum electromagnetic dynamics (QED). This formula is widely applied in many branches of physics and astrophysics. We find that the integrated bremsstrahlung cross section at the static approximation and high energy limit has an unexpected big increment, which is missed by previous bremsstrahlung theory. This anomalous effect also exists in electron-positron pair creation. We derive the relating formulas and point out that electromagnetic cascades at the top of atmosphere can test this effect.

MSC:

81V10 Electromagnetic interaction; quantum electrodynamics
81Q40 Bethe-Salpeter and other integral equations arising in quantum theory
85A25 Radiative transfer in astronomy and astrophysics
86A10 Meteorology and atmospheric physics

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