Electron-Positron Pair Photoproduction in a Strong Magnetic Field Through the Polarization Cascade
DOI:
https://doi.org/10.15407/ujpe65.3.187Keywords:
e−e pair photoproduction, vacuum polarization, quantum electrodynamics, strong magnetic fieldAbstract
The process of the e−e+ pair photoproduction in a strong magnetic field through the polarization cascade (the creation of an e−e+ pair from a single photon and its subsequent annihilation to a single photon) has been considered. The kinematics of the process is analyzed, and the expression for the general amplitude is obtained. A radiation correction to the process of pair creation at the lowest Landau levels by a single photon is found in the case where the energy of this photon is close to the threshold value. A comparison with the process of e−e+ pair production by one photon is made.
References
J.K. Daugherty, A.K. Harding. Electromagnetic cascades in pulsars. Astrophys. J. 252, 337 (1982). https://doi.org/10.1086/159561
P.A. Sturrock, A.K. Harding. Cascade model of gamma-ray bursts. Astrophys. J. 346, 950 (1989). https://doi.org/10.1086/168075
J.K. Daugherty, A.K. Harding. Gamma-ray pulsars: Emission from extended polar cap cascades. Astrophys. J. 458, 278 (1996). https://doi.org/10.1086/176811
P.A. Sturrock, A.K. Harding. A model of pulsars. Astrophys. J. 164, 529 (1971). https://doi.org/10.1086/150865
J.K. Daugherty. A.K. Harding. Pair production in superstrong magnetic fields. Astrophys. J. 273, 761 (1983). https://doi.org/10.1086/161411
A.K. Harding. Physics in strong magnetic fields near neutron stars. Science 251, 1033 (1991). https://doi.org/10.1126/science.251.4997.1033
H. Euler, B. Kockel, The scattering of light by light in the Dirac theory. Naturwissenschaften 23, 246 (1935). https://doi.org/10.1007/BF01493898
W. Heisenberg, H. Euler. Folgerungen aus der Diracschen Theorie des Positrons. Z. Phys. 98, 714 (1936). https://doi.org/10.1007/BF01343663
J. Schwinger. On gauge invariance and vacuum polarization. Phys. Rev. 82, 664 (1951). https://doi.org/10.1103/PhysRev.82.664
I.A. Batalin, A.E. Shabad. Green's function of a photon in a constant homogeneous electromagnetic field of general form. JETP 33, 483 (1971).
S. Adler. Photon splitting and photon dispersion in a strong magnetic field. Ann. Phys. 67, 599 (1971). https://doi.org/10.1016/0003-4916(71)90154-0
W. Tsai. Vacuum polarization in homogeneous magnetic fields. Phys. Rev. D 10, 2699 (1974). https://doi.org/10.1103/PhysRevD.10.2699
V.M. Katkov. Polarization operator of a photon in a magnetic field. Zh. ' Eksp. Teor. Fiz. 150, 229 (2016) (in Russian).
W. Tsai, T. Erber. Propagation of photons in homogeneous magnetic fields: Index of refraction. Phys. Rev. D 15, 1132 (1975). https://doi.org/10.1103/PhysRevD.12.1132
K. Kohri, S. Yamada. Polarization tensors in strong magnetic fields. Phys. Rev. D 65, 043006 (2002). https://doi.org/10.1103/PhysRevD.65.043006
K. Hattori, K. Itakura. Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels. Ann. Phys. 330, 23 (2013). https://doi.org/10.1016/j.aop.2012.11.010
K. Hattori, K. Itakura. Vacuum birefringence in strong magnetic fields: (II) Complex refractive index from the lowest Landau level. Ann. Phys. 334, 58 (2013). https://doi.org/10.1016/j.aop.2013.03.016
A. Shabad. Photon dispersion in a strong magnetic field. Ann. Phys. 90, 166 (1975). https://doi.org/10.1016/0003-4916(75)90144-X
M. Diachenko, O. Novak, R. Kholodov. A cascade of e−e+ pair production by a photon with subsequent annihilation to a single photon in a strong magnetic field. Laser Phys. 26, 066001 (2016). https://doi.org/10.1088/1054-660X/26/6/066001
M. Diachenko, O. Novak, R. Kholodov. Vacuum birefringence in supercritical magnetic fields. Ukr. J. Phys. 64, 179 (2019). https://doi.org/10.15407/ujpe64.3.181
G. Calucci, R. Ragazzon. Nonlogarithmic terms in the strong field dependence of the photon propagator. J. Phys. A 27, 2161 (1994). https://doi.org/10.1088/0305-4470/27/6/036
V.P. Gusynin, V.A. Miransky, I.A. Shovkovy. Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field. Nucl. Phys. B 462, 249 (1996). https://doi.org/10.1016/0550-3213(96)00021-1
M. Diachenko, O. Novak, E. Padusenko, R. Kholodov. Vacuum birefringence in the fields of a current coil and a guided electromagnetic wave. Ukr. J. Phys. 63, 979 (2018). https://doi.org/10.15407/ujpe63.11.979
E. Zavattini, G. Zavattini, G. Ruoso et al. New PVLAS results and limits on magnetically induced optical rotation and ellipticity in vacuum. Phys. Rev. D 77, 032006 (2008). https://doi.org/10.1103/PhysRevD.77.032006
F. Della Valle, E. Milotti, A. Ejlli et al. First results from the new PVLAS apparatus: A new limit on vacuum magnetic birefringence. Phys. Rev. D 90, 092003 (2014). https://doi.org/10.1103/PhysRevD.90.092003
F. Della Valle, A. Ejlli, U. Gastaldi et al. The PVLAS experiment: measuring vacuum magnetic birefringence and dichroism with a birefringent Fabry-Perot cavity. Eur. Phys. J. C 76, 24 (2016). https://doi.org/10.1140/epjc/s10052-015-3869-8
H.P. Schlenvoigt, T. Heinzl, U. Schramm et al. Prospects for studying vacuum polarisation using dipole and synchrotron radiation. Phys. Scr. 91, 023010 (2016).
O. Tesileanu, D. Ursescu, R. Dabu, N. V. Zamfir. Extreme light infrastructure. J. Phys.: Conf. Ser. 420, 012157 (2013). https://doi.org/10.1088/1742-6596/420/1/012157
R.P. Mignani, V. Testa, D. Gonzalez Caniulefet et al. Evidence for vacuum birefringence from the first opticalpolarimetry measurement of the isolated neutron star RX J1856.5-3754. Mon. Not. Roy. Astron. Soc. 465, 492 (2017). https://doi.org/10.1093/mnras/stw2798
N.P. Klepikov. Radiation of photons and electron-positron pairs in a magnetic field. Zh. ' Eksp. Teor. Fiz. 26, 19 (1954) (in Russian).
V.N. Baier, V.M. Katkov. Processes involved in the motion of high energy particles in a magnetic field. Sov. Phys. - JETP 26, 854 (1968).
V.N. Baier, V.M. Katkov. Quasiclassical theory of bremsstrahlung by relativistic particles. Sov. Phys. - JETP 28, 807 (1969).
V.N. Baier, V.M. Katkov. Pair creation by a photon in a strong magnetic field. Phys. Rev. D 75, 07300 (2007). https://doi.org/10.1103/PhysRevD.75.073009
L. Semionova, D. Leahy. Remarks concerning pair creation in strong magnetic fields. Astron. Astrophys. 373, 272 (2001). https://doi.org/10.1051/0004-6361:20010491
O.P. Novak, R.I. Kholodov. Polarization effects in the photon-induced process of electron-positron pair creation in a magnetic field, studied in the ultra-quantum-mechanical approximation. Ukr. J. Phys. 53, 185 (2008).
O.P. Novak, R.I. Kholodov. Spin-polarization effects in the processes of synchrotron radiation and electron-positron pair production by a photon in a magnetic field. Phys. Rev. D 80, 025025 (2009). https://doi.org/10.1103/PhysRevD.80.025025
V.V. Skobelev. On photon propagation in a magnetic field. Zh. ' Eksp. Teor. Fiz. 73, 1301 (1977) (in Russian).
M. Dyachenko, O. Novak, R. Kholodov. Resonant thresh-old two-photon e−e+ pair production onto the lowest Landau levels in a strong magnetic field. Ukr. J. Phys. 59, 849 (2014). https://doi.org/10.15407/ujpe59.09.0849
M.M. Diachenko, O.P. Novak, R.I. Kholodov. Resonant generation of an electron-positron pair by two photons to excited Landau levels. JETP 121, 813 (2015). https://doi.org/10.1134/S1063776115110126
M.M. Diachenko, O.P. Novak, R.I. Kholodov. Pair production in a magnetic and radiation field in a pulsar magnetosphere. Mod. Phys. Lett. A 30, 1550111 (2015). https://doi.org/10.1142/S0217732315501114
O.P. Novak, R.I. Kholodov, P.I. Fomin. Electron-positron pair production by an electron in a magnetic field near the process threshold. JETP 110, 978 (2010). https://doi.org/10.1134/S1063776110060075
O.P. Novak, R.I. Kholodov. Electron-positron pair production by an electron in a magnetic field in the resonant case. Phys. Rev. D 86, 105013 (2012). https://doi.org/10.1103/PhysRevD.86.105013
M.M. Diachenko, R.I. Kholodov. Energy losses of positive and negative charged particles in electron gas. Mod. Phys. Lett. A 32, 1750031 (2017). https://doi.org/10.1142/S0217732317500316
V. Skalozub. Induced color charges, effective yyG vertex in QGP. Applications to heavy-ion collisions. Ukr. J. Phys. 64, 754 (2019). https://doi.org/10.15407/ujpe64.8.754
V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, Relativistic Quantum Theory (Pergamon Press, 1982).
A. Chodos, K. Everding, D.A. Owen. QED with a chemical potential: The case of a constant magnetic field. Phys. Rev. D 42, 2881 (1990). https://doi.org/10.1103/PhysRevD.42.2881
V.P. Gusynin, V.A. Miransky, I.A. Shovkovy. Dynamical chiral symmetry breaking by a magnetic field in QED. Phys. Rev. D 52, 4747 (1995). https://doi.org/10.1103/PhysRevD.52.4747
D.B. Melrose, A.J. Parle. Quantum electrodynamics in strong magnetic fields. I. Electron states. Aust. J. Phys. 36, 755 (1983). https://doi.org/10.1071/PH830755
P.I. Fomin, R.I. Kholodov. To the theory of resonance quantum-electrodynamic processes in an external magnetic field. Ukr. Fiz. Zh. 44, 1526 (1999) (in Ukrainian).
N.N. Bogoliubov, D.V. Shirkov. Introduction to the Theory of Quantized Field. (Interscience, 1959).
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.