Abstract
The process of photon splitting γ→ γγ in a strong magnetic field is investigated both below and above the pair creation threshold. Contrary to the statement by Baier et al., the “allowed” channel γ ‖→ γ ⊥ γ ⊥ is shown not to be a comprehensive description of splitting in the strong field because the “forbidden” channel γ ‖→ γ ‖ γ ⊥ is also essential. The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance.
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