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High energy particle production from proton synchrotron radiation in strong magnetic fields in relativistic quantum field theory

Tomoyuki Maruyama1,2,*, A. Baha Balantekin3, Myung-Ki Cheoun4,5, Akira Dohi6,7, Ryo Higuchi6, Toshitaka Kajino8,9,10, and Grant J. Mathews11

  • *Contact author: maruyama.tomoyuki@nihon-u.ac.jp
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Phys. Rev. D 113, 023023 – Published 13 January, 2026

DOI: https://doi.org/10.1103/8hqk-ymyr

Abstract

We investigate photon, pion, and ρ-meson production from proton synchrotron radiation in the presence of strong magnetic fields. The proton decay widths and the luminosities of the emitted particles are calculated within a relativistic quantum framework that incorporates Landau quantization. A scaling rule is derived for the transition probability between different Landau levels. This allows an evaluation of transitions for extremely high Landau numbers exceeding 1015. Furthermore, we calculate the momentum distribution of the emitted particles by properly including the proton recoil effect associated with particle emission. The results differ significantly from conventional semiclassical approaches.

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Phys. Rev. D 113, 023023– Published 13 January, 2026
  • Received 1 October 2025
  • Accepted 16 December 2025
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