Abstract
The oscillation of photons and axion-like particles (ALPs) in the astrophysical magnetic fields could modify the measured very high energy (VHE; ℰ ≳ 100 GeV) γ-ray spectra of the blazar sources. In this paper, we use the VHE γ-ray observations of the blazar Markarian 421 (Mrk 421) measured by MAGIC and Fermi-LAT in 2017 with four phases to constrain the ALP. We give the spectral energy distributions (SEDs) of these phases under the null and ALP hypotheses. We also test the effects of the γ-ray blazar intrinsic spectra models on the ALP constraints. No significant relationship is confirmed between the ALP constraints and the model selections. The 95% C.L. combined constraints set by the single-model and multi-model scenarios on the ALP parameter space are roughly at the photon-ALP coupling gaγ ≳ 3 × 10-11 GeV-1 for the ALP mass 1 × 10-8 eV ≲ m a ≲ 2 × 10-7 eV.
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