Abstract
We analyze the splitting of a photon with energy ω below the e + e − pair-production threshold in an ultrastrong magnetic field. We use the amplitudes found by employing the operator diagrammatic technique. In a field considerably above the critical values the process amplitudes become independent of the field strength. A study of the polarization operator of a photon in an external field of arbitrary strength in the energy range considered in the present investigation shows that there is only one set of polarizations of the initial and final photons for which the splitting amplitude is nonzero.
Similar content being viewed by others
References
S. L. Adler, J. N. Bahcall, C. G. Callan, and M. N. Rosenbluth, Phys. Rev. Lett. 25, 1061 (1970).
Z. Bialynicka-Birula and I. Bialynicka-Birula, Phys. Rev. D 10, 2341 (1970).
S. L. Adler, Ann. Phys. (N.Y.) 67, 599 (1971).
V. O. Papanyan and V. I. Ritus, Zh. Éksp. Teor. Fiz. 61, 2231 (1971) [Sov. Phys. JETP 34, 1195 (dy1972)]; 65, 1756 (1973) [Sov. Phys. JETP 38, 879 (1974)].
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, 3rd ed., Pergamon Press, Oxford (1991).
R. J. Stoneham, J. Phys. A 12, 2187 (1979).
B. N. Baier, A. I. Mil’shtein, and R. Zh. Shaisultanov, Zh. Éksp. Teor. Fiz. 90, 1141 (1986) [Sov. Phys. JETP 63, 665 (1986)].
B. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Zh. Éksp. Teor. Fiz. 68, 405 (1975) [Sov. Phys. JETP 41, 198 (1975)].
B. N. Baier, A. I. Milstein, and R. Zh. Shaisultanov, Phys. Lett. A 120, 255 (1987).
M. Mentzel, D. Berg, and G. Wunner, Phys. Rev. D 50, 1125 (1994).
G. Wunner, R. Sang, and D. Berg, Astrophys. J. 455, L51 (1995).
S. L. Adler, submitted to Astrophys. J.
M. G. Baring and A. K. Harding, in High Velocity Neutron Stars and Gamma-Ray Bursts (Proc. of La Jolla Workshop), AIP, New York (1995).
V. N. Baier, A. I. Milstein, and R. Zh. Shaisultanov, HETP-TH 9604 028, Preprint BINP 96-18. Novosibirsk (April 1996).
S. L. Adler and C. Schubert, HEP-TH 9605 035, Preprint IASSNS-HEP-96/37 (1996).
C. Wilke and G. Wunner, HEP-TH 960 556.
I. A. Batalin and A. E. Shabad, Zh. Éksp. Teor. Fiz. 60, 894 (1971) [Sov. Phys. JETP 33, 483 (1971)].
V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Zh. Éksp. Teor. Fiz. 67, 453 (1974) [Sov. Phys. JETP 40, 225 (1975)].
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 111, 52–62 (January 1997)
Rights and permissions
About this article
Cite this article
Baier, V.N., Mil’shtein, A.I. & Shaisultanov, R.Z. Photon splitting in an ultrastrong magnetic field. J. Exp. Theor. Phys. 84, 29–34 (1997). https://doi.org/10.1134/1.558149
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558149