Abstract

The results of our numerical computation of magnetic photon splitting rates according to the proper-time formulation developed by Stoneham are presented in this paper. Calculations were performed for both the total rate of splitting and the differential distributions for the polarization mode ⊥ → ∥∥ of splitting. Analytic asymptotic limits obtainable from the triple integral expressions of Stoneham's formalism are also presented, and these are reproduced by the full computation of the integrals. The rates produced here agree with numerous previous analyses of photon splitting but fall somewhat below the S-matrix calculation of Wilke and Wunner. The numerical determination of these rates is of great use to current topical models of gamma-ray pulsars and magnetar scenarios for soft gamma repeaters.

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