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Is the GeV-TeV emission of PKS 0447-439 from the proton synchrotron radiation?

  • Quan-Gui Gao
  • Fang-Wu Lu
  • Ju Ma
  • Ji-Yang Ren
  • Huai-Zhen Li
Original Article
  • 47 Downloads

Abstract

We study the multi-wavelength emission features of PKS 0447-439 in the frame of the one-zone homogeneous lepto-hadronic model. In this model, we assumed that the steady power-laws with exponential cut-offs distributions of protons and electrons are injected into the source. The non-linear time-dependent kinematic equations, describing the evolution of protons, electrons and photons, are defined; these equations self-consistently involve synchrotron radiation of protons, photon-photon interaction, synchrotron radiation of electron/positron pairs, inverse Compton scattering and synchrotron self-absorption. The model is applied to reproduce the multi-wavelength spectrum of PKS 0447-439. Our results indicate that the spectral energy distribution (SED) of PKS 0447-439 can be reproduced well by the model. In particular, the GeV-TeV emission is produced by the synchrotron radiation of relativistic protons. The physically plausible solutions require the magnetic strength \(10~\text{G}\lesssim B \lesssim 100~\text{G}\). We found that the observed spectrum of PKS 0447-439 can be reproduced well by the model whether \(z = 0.16\) or \(z = 0.2\), and the acceptable upper limit of redshift is \(z=0.343\).

Keywords

Radiation mechanisms: non-thermal BL Lacertae objects: individual: PKS 0447-439 Gamma rays: galaxies 

Notes

Acknowledgements

We thank the anonymous referee for some very constructive suggestions. This work is partially supported by the Program for Innovative Research Team (in Science and Technology) in University of Yunnan Province (IRTSTYN), the Open Projects of Key Laboratory for the Structure and Evolution of Celestial Objects of Chinese Academy of Sciences (OP201505), Yunnan Local Colleges Applied Basic Research Projects (2017FH001-017), and Science Research Foundation of Yunnan Education Department of China (2017ZZX177, 2018JS422).

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Quan-Gui Gao
    • 1
    • 2
    • 3
  • Fang-Wu Lu
    • 1
    • 2
    • 3
  • Ju Ma
    • 1
  • Ji-Yang Ren
    • 1
  • Huai-Zhen Li
    • 1
    • 2
    • 3
  1. 1.Physics DepartmentYuxi Normal UniversityYuxiChina
  2. 2.Key Laboratory for the Structure and Evolution of Celestial ObjectsChinese Academy of SciencesKunmingChina
  3. 3.Key Laboratory of Astroparticle Physics of Yunnan ProvinceKunmingChina

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