Energy spectrum of particles accelerated near a magnetic x line

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Abstract
We study the acceleration of test particles near a static magnetic x line with a uniform electric field and a strong component of the magnetic field, B∥, parallel to the x line. The energy spectrum of the accelerated particles is found analytically in the nonrelativistic limit, showing good agreement with numerical simulations. At high energies, the spectrum decays exponentially with a characteristic energy very different from that found in studies assuming B∥ = 0.