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Ukr. J. Phys. 2015, Vol. 59, N 9, p.849-855
doi:10.15407/ujpe59.09.0849    Paper

Dyachenko M.M., Novak O.P., Kholodov R.I.

Institute of Applied Physics, Nat. Acad. of Sci. of Ukraine
(58, Petropavlivska Str., Sumy 40000, Ukraine;
e-mail: dia4enkomisha@yandex.ru, novak-o-p@ukr.net, kholodovroman@yahoo.com)

Resonant Threshold Two-Photon ee+ Pair Production Onto the Lowest Landau Levels in a Strong Magnetic Field

Section: Fields and elementary particles
Original Author's Text: Ukrainian

Abstract: The process of electron-positron pair production by two photons in a strong magnetic field has been studied. The process kinematics is considered, and the probability amplitude for arbitrary polarizations of particles is found. The resonance conditions are established, and the resonant cross-section is estimated in the case where the electron and the positron occupy the lowest levels (le = 1, lp = 0) that satisfy these resonance conditions.

Key words: electron-positron pair, photon-induced production, magnetic field, quantum electrodynamics, resonance.