Abstract
The solution of the kinetic equation for finding the distribution function of photons of two possible polarizations in an equilibrium nonrelativistic \({{e}^{ + }}{{e}^{ - }}\) plasma in a relatively strong magnetic field is considered taking into account resonance on a virtual electron. Using the Laplace transform and the expansion of the distribution function in Legendre polynomials, the problem is reduced to a system of differential equations for the coefficients of this expansion. The solution is presented as an integral in the complex plane.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Notes
This work uses the natural system of units, where \(c = h = {{k}_{B}} = 1\), m is the electron mass, and \(e > 0\) is the elementary charge.
REFERENCES
D. Ryu, D. R. G. Schleicher, R. A. Treumann, C. G. Tsagas, and L. M. Widrow, “Magnetic fields in the large-scale structure of the universe,” Space Sci. Rev. 166, 1–35 (2012).
P. Goldreich and W. H. Julian, “Pulsar electrodynamics,” Astrophys. J. 157, 869–880 (1969).
V. Suleimanov and K. Werner, “Importance of Compton scattering for radiation spectra of isolated neutron stars with weak magnetic fields,” Astron. Astrophys. 466, 661–668 (2007).
M. V. Chistyakov and D. A. Rumyantsev, “Compton effect in strongly magnetized plasma,” Int. J. Mod. Phys. A 24, 3995–4008 (2009).
A. V. Kuznetsov, D. A. Rumyantsev, and D. M. Shlenev, “Generalized two-point tree-level jf → j’f’ amplitude in a magnetized medium,” Int. J. Mod. Phys. A 30, 1550049 (2015).
A. A. Mushtukov, D. I. Nagirner, and J. Poutanen, “Compton scattering S-Matrix and cross section in strong magnetic field,” Phys. Rev. D 93, 105003 (2016).
A. A. Mushtukov, I. D. Markozov, V. F. Suleimanov, D. I. Nagirner, A. D. Kaminker, A. Y. Potekhin, and S. Portegies Zwart, “Statistical features of multiple Compton scattering in a strong magnetic field,” Phys. Rev. D 105, 103027 (2022).
D. A. Rumyantsev, D. M. Shlenev, and A. A. Yarkov, “Resonances in Compton-like scattering processes in an external magnetized medium,” J. Exp. Theor. Phys. 125, 410–419 (2017).
M. V. Chistyakov, D. A. Rumuyantsev, and A. A. Yarkov, “Effect of a strongly magnetized plasma on the resonant photon scattering process,” J. Phys.: Conf. Ser. 1690 012015 (2020).
A. S. Kompaneets, “The establishment of thermal equilibrium between quanta and electrons,” J. Exp. Theor. Phys. 4, 876–885 (1957).
Yu. E. Lyubarskii, “Comptonization in a superstrong magnetic field. I,” Astrofiz. 28, No. 1 (1988).
A. V. Kuznetsov and N. V. Mikheev, Electroweak Processes in External Electromagnetic Fields, Vol. 197: Springer Tracts in Modern Physics (Springer, 2003).
Funding
This study was carried out with financial support from the Russian Foundation for Basic Research as part of scientific project no. 20-32-90068.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Yarkov, A.A., Rumyantsev, D.A. Solution of the Kinetic Equation Taking into Account Resonance in the Compton Process in a Magnetized Medium. Phys. Part. Nuclei Lett. 20, 404–406 (2023). https://doi.org/10.1134/S154747712303072X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S154747712303072X