Abstract
We study the electron energy spectra of two powerful solar flares SOL2003-10-28T 1106:16 (GOES class X17.2) and SOL2002-07-23T 0018:16 (X4.8) analyzing the HXR and gamma-ray spectra obtained by RHESSI. Electron-electron (e–e) bremsstrahlung makes a significant contribution to the X-ray flux at energies above 500 keV. In X-ray flux calculations different electron pitch-angle distributions were considered: isotropic, quasi-transverse and quasi-longitudinal. It was shown that breaks in hard X-ray spectra occur on energies ε ≈ 100 keV with photon spectral-index difference Δγ ≥ 1 in the case of quasi-longitudinal anisotropy and hard power-law electron energy spectra. We deduce the parameters of non-thermal electrons energy spectra from RHESSI data for the extreme solar flares SOL2003-10-28 and SOL2002-07-23. After including e–e bremsstrahlung, the non-thermal electrons energy spectra obtained in the thick-target model can be fitted using power-law with spectral index δ ≈ 5. For the SOL2002-07-23 flare, there is a pronounced asymmetry towards the southern footpoint, starting from energies above 100 keV. The spatial separation of HXR sources at energies above 100 keV may be related to a feature of relativistic electron transport in flaring loops.
Similar content being viewed by others
REFERENCES
Aschwanden, M.J., Physics of the Solar Corona, Berlin: Springer, 2004.
Charikov, Y.E., Melnikov, V.F., and Kudryavtsev, I.V., Intensity and polarization of the hard X-ray radiation of solar flares at the top and footpoints of a magnetic loop, Geomagn. Aeron. (Engl. Transl.), 2012, vol. 52, no. 8, pp. 1021–1031.
Emslie, A.G., Kontar, E.P., Krucker, S., and Lin, R.P., RHESSI hard X-ray imaging spectroscopy of the large gamma-ray flare of 2002 July 23 2003, Astrophys. J., 2003, vol. 595, id L107.
Gluckstern, R.L. and Hull, M.H., Jr., Polarization dependence of the integrated bremsstrahlung cross section, Phys. Rev., 1953, vol. 90, no. 6, pp. 1030–1035.
Haug, E., Bremsstrahlung and pair production in the field of free electrons, Z. Naturforsch., A: Phys. Sci., 1975a, vol. 30, no. 9, pp. 1099–1113.
Haug, E., Contribution of electron–electron bremsstrahlung to solar hard X-radiation during flares, Sol. Phys., 1975b, vol. 45, pp. 453–458.
Haug, E., On the use of nonrelativistic bremsstrahlung cross sections in astrophysics, Astron. Astrophys., 1997, vol. 326, pp. 417–418.
Haug, E., Photon spectra of electron–electron bremsstrahlung, Sol. Phys., 1998, vol. 178, pp. 341–351.
Holman, G.D., Sui, L., Schwartz, R.A., and Emslie, A.G., Electron bremsstrahlung hard X-ray spectra, electron distributions, and energetics in the 2002 July 23 solar flare, Astrophys. J., 2003, vol. 595, id L97.
Holman, G.D., Aschwanden, M.J., Aurass, H., et al., Implications of X-ray observations for electron acceleration and propagation in solar flares, Space Sci. Rev., 2011, vol. 159, id 107.
Hurford, G.J., Schmahl, E.J., Schwartz, R.A., et al., The RHESSI imaging concept, Sol. Phys., 2002, vol. 210, pp. 61–86.
Hurford, G.J., Schwartz, R.A., Kucker, S., et al., First gamma images of a solar flare, Astrophys. J., 2003, vol. 595, no. 2, pp. L77–L80.
Kontar, E.P., Emslie, A.G., Massone, A.M., et al., Electron–electron bremsstrahlung emission and the inference of electron flux spectra in solar flares, Astrophys. J., 2007, vol. 670, no. 1, pp. 857–861.
Leach, J. and Petrosian, V., Impulsive phase of solar flares. 1: Characteristics of high energy electrons, Astrophys. J., 1981, vol. 251, pp. 781–791.
Lin, R.P., Dennis, B.R., and Hurford, G.J., The Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI), Sol. Phys., 2002, vol. 210, pp. 3–32.
Massone, A.M., Emslie, A.G., Kontar, E.P., et al., Anisotropic bremsstrahlung emission and the form of regularized electron flux spectra in solar flares, Astrophys. J., 2004, vol. 613, no. 2, pp. 1233–1240.
Reznikova, V.E., Melnikov, V.F., Shibasaki, K., et al., 2002 August 24 limb flare loop: Dynamics of microwave brightness distribution, Astrophys. J., 2009, vol. 697, no. 1, pp. 735–746.
Zharkova, V.V., Kuznetsov, A.A., and Siversky, T.V., Diagnostics of energetic electrons with anisotropic distributions in solar flares, Astron. Astrophys., 2010, vol. 512, id A8.
Zheleznyakov, V.V., Elektromagnitnye volny v kosmicheskoi plazme (Electromagnetic Waves in Space Plasma), Moscow: Nauka, 1977.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
There is no conflict of interest between the authors of this work.
Rights and permissions
About this article
Cite this article
Oparin, I.D., Charikov, Y.E., Ovchinnikova, E.P. et al. Electron Energy Spectra and e–e Bremsstrahlung from Anisotropic Electron Distributions in Extreme Solar Flares. Geomagn. Aeron. 60, 889–895 (2020). https://doi.org/10.1134/S0016793220070191
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793220070191