Resonant Threshold Two-Photon e−e+ Pair Production onto the Lowest Landau Levels in a Strong Magnetic Field
DOI:
https://doi.org/10.15407/ujpe59.09.0849Keywords:
electron-positron pair, photon-induced production, magnetic field, quantum electrodynamics, resonanceAbstract
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.
References
G. Baur, K. Hencken, D. Trautmann et al., Phys. Rep. 364, 359 (2002).
https://doi.org/10.1016/S0370-1573(01)00101-6
G. Baur, K. Hencken, and D. Trautmann, Phys. Rep. 453, 1 (2007).
https://doi.org/10.1016/j.physrep.2007.09.002
W. Greiner, B. M¨uller, and J. Rafelski, Quantum Electrodynamics of Strong Fields (Springer, Berlin, 1985).
https://doi.org/10.1007/978-3-642-82272-8
W. Henning, FAIR Conceptual Design Report (Gesellschaft f¨ur Schwerionenforschung, Darmstadt, 2001).
G. Soff, J. Reinhardt, and W. Greiner, Phys. Rev. A 23, 701 (1981).
https://doi.org/10.1103/PhysRevA.23.701
K. Rumrich, W. Greiner, and G. Soff, Phys. Lett. A 125, 394 (1987).
https://doi.org/10.1016/0375-9601(87)90168-X
G. Soff and J. Reinhardt, Phys. Lett. B 211, 179 (1988).
https://doi.org/10.1016/0370-2693(88)90829-5
P.I. Fomin and R.I. Kholodov, Dopov. Nat. Akad. Nauk Ukr., No. 12, 91 (1998).
H. Backe, L. Handschug, F. Hessberger et al., Phys. Rev. Lett. 40, 1443 (1978).
https://doi.org/10.1103/PhysRevLett.40.1443
W. Koenig, F. Bosch, P. Kienle et al., Z. Phys. A 328, 129 (1987).
T. Cowan, H. Backe, K. Bethge et al., Phys. Rev. Lett. 56, 444 (1986).
https://doi.org/10.1103/PhysRevLett.56.444
V.B. Berestetskii, E.M. Lifshitz, and L.P. Pitaevskii, Relativistic Quantum Theory (Pergamon Press, Oxford, 1982).
G.I. Budker and A.N. Skrinskii, Usp. Fiz. Nauk 124, 561 (1978).
https://doi.org/10.3367/UFNr.0124.197804a.0561
I.N. Meshkov, Elem. Chast. At. Yadro 25, 1487 (1994).
V.V. Parkhomchuk and A.N. Skrinskii, Usp. Fiz. Nauk 170, 473 (2000).
https://doi.org/10.3367/UFNr.0170.200005a.0473
N.S. Dikanskii, N.Kh. Kot, V.I. Kudelainen et al., Zh. Eksp. Teor. Fiz. ` 94, 65 (1988).
B. Galnander et al., HESR Electron Cooler Design study. Technical report (Svedberg Laboratory, Uppsala University, Uppsala, 2009).
O. Bazhenov et al., Electron Cooling for HESR. Final Report (G.I. Budker Institute of Nuclear Physics, Novosibirsk, 2003).
A.I. Larkin, Zh. Eksp. Teor. Fiz. ` 37, 264 (1959).
I.A. Akhiezer, Zh. Eksp. Teor. Fiz. ` 40, 954 (1961).
Y. Ng and W. Tsai, Phys. Rev. D. 16, 286 (1977).
https://doi.org/10.1103/PhysRevD.16.286
A.A. Kozlenkov and I.G. Mitrofanov, Zh. Eksp. Teor. Fiz. ` 91, 1978 (1986).
P.I. Fomin and R.I. Kholodov, Zh. Eksp. Teor. Fiz. ` 117, 319 (2000).
P.I. Fomin and R.I. Kholodov, Ukr. Fiz. Zh. 44, 1526 (1999).
C. Graziani, A.K. Harding, and R. Sina, Phys. Rev. D 51, 7097 (1995).
https://doi.org/10.1103/PhysRevD.51.7097
O.P. Novak and R.I. Kholodov, Ukr. J. Phys. 53, 185 (2008).
O.P. Novak and R.I. Kholodov, Phys. Rev. D 80, 025025 (2009).
https://doi.org/10.1103/PhysRevD.80.025025
N.P. Klepikov, Zh. Eksp. Teor. Fiz. ` 26, 19 (1954).
V.I. Ritus and A.I. Nikishov, Trudy Fiz. Inst. Akad. Nauk SSSR 111, 1 (1979).
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