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arXiv · hep-ph/0008240

A new look at the pair-production width in a strong magnetic field

W. F. Kao·Guey-Lin Lin·Jie-Jun Tseng
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Abstract

We reexamine the process $γ\to e^++ e^-$ in a background magnetic field comparable to $B_c\equiv m_e^2/e$. This process is known to be non-perturbative in the magnetic-field strength. However, it can be shown that the {\it moments} of the above pair production width is proportional to the derivatives of photon polarization function at the zero energy, which is perturbative in $B$. Hence, the pair-production width can be easily obtained from the latter by the inverse Mellin transform. The implications of our approach are discussed.

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W. F. Kao, Guey-Lin Lin, Jie-Jun Tseng. 2000-10-10. A new look at the pair-production width in a strong magnetic field. https://doi.org/10.1016/s0370-2693(00)01220-x

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