Abstract
Electrons are accelerated at the shock wave diffuse and advect outward, and subsequently drift away into the emitting region of the jet that is located in the downstream flow from the plane shock. The current work considers the acceleration of the electrons in the shock front. Assuming a proper boundary condition at the interface between the shock and the downstream zones, a novel particle distribution in the downstream flow is proposed in this work to reproduce the broadband spectral energy distribution of BL Lac objects. We find that (1) we can obtain the particle distribution downstream of the shock wave in four cases; (2) electrons with higher energy (\(\gamma >\gamma _{0}\)) dominate the emission spectrum; (3) the distinctly important physical parameters assumed in our model can reasonably reproduce the multi-wavelength spectrum of the high-synchrotron-peaked BL Lac object Markarian 421 (Mrk 421).
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Acknowledgements
We thank the anonymous referee for very constructive and helpful comments and suggestions, which greatly helped us to improve our paper. This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 11763005 and 11873043), and the Science and Technology Foundation of Guizhou Province (QKHJC[2019]1290).
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Xie, X.X., Zhu, K.R., Kang, S.J. et al. Establishing a particle distribution for multi-wavelength emission from BL Lac objects. Astrophys Space Sci 365, 151 (2020). https://doi.org/10.1007/s10509-020-03864-9
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DOI: https://doi.org/10.1007/s10509-020-03864-9