Other
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrvd..69j5017w&link_type=abstract
Physical Review D, vol. 69, Issue 10, id. 105017
Other
Specific Calculations, Elementary Particle Processes, Pulsars, Neutron Stars
Scientific paper
Using a proper time technique, the quadratic response tensor (3-point vertex) in the electromagnetic vacuum is derived from which the scattering amplitudes for photon splitting are obtained for arbitrary fields. In the low frequency limit of the nondispersive vacuum, compact expressions for the scattering amplitudes are obtained whereupon two specific limits are evaluated: one in which both fields are weak and the other in which the electric field is weak and B≫E. In the latter limit, for E/Ecr˜0.01B/Bcr and B≳5Bcr, a new splitting mode, absent in the pure magnetic case, has a rate exceeding that of the previously dominant pure magnetic ⊥→‖‖ splitting mode. At these stronger electric fields, the process of spontaneous pair production becomes important enough to require consideration. Although it is unlikely that neutron stars with B≫Bcr and long periods (magnetars) have parallel electric fields of this strength, their progenitors may have. Other candidates include γ-ray bursters and strange stars. The low frequency results were verified using the Heisenberg-Euler Lagrangian approach.
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