Semiclassical theory of charged pion radiation by nucleons in a strong homogeneous magnetic field

Details Semiclassical theory of charged pion radiation by nucleons in a strong homogeneous magnetic field Semiclassical theory of charged pion radiation by nucleons in a strong homogeneous magnetic field

2007-07-27

arxiv.org/abs/0707.4105v1

J.Phys.G35:025201,2008

Astronomy and Astrophysics

Astrophysics

10 pages, 2 figures

Scientific paper

10.1088/0954-3899/35/2/025201

Charged pions produced in very high energy hadronic interactions might be the dominant source of cosmic neutrinos in the GeV--TeV range. Spectral energy power of \pi^+ radiation by high energy protons moving in strong magnetic fields typical for magnetars is determined with a semiclassical treatment of the effective pion-nucleon model. The main characteristics emerging from a saddle point approximation to the summation over the allowed range of Landau levels is a sharp lower cut: E_\pi>0.25 E_p. The magnitude of the spectral power agrees in this region with the synchrotron radiation spectra of neutral pions.

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