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

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

2000-08-23

arxiv.org/abs/hep-ph/0008240v2

Phys.Lett. B495 (2000) 105-113

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 2 figures, Revtex, Some comments added

Scientific paper

10.1016/S0370-2693(00)01220-X

We reexamine the process $\gamma\to e^++ e^-$ 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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