The Intrinsic $\gamma$-ray Emissions of $Fermi$ Blazars

Abstract

Beaming effect is important for the observational properties of blazars. In this work, we collect 91 $Fermi$ blazars with available radio Doppler factors. $\gamma$-ray Doppler factors are estimated and compared with radio Doppler factors for some sources. The intrinsic (de-beamed) $\gamma$-ray flux density ($f_{\gamma }^{\mathrm{in}}$), intrinsic $\gamma$-ray luminosity ($L_{\gamma }^{\mathrm{in}}$), and intrinsic synchrotron peak frequency (${\nu }_{\mathrm{p}}^{\mathrm{in}}$) are calculated. Then we study the correlations between $f_{\gamma }^{\mathrm{in}}$ and redshift and find that they follow the theoretical relation: $\log f=-2.0\log z+\mathrm{const}$. When the subclasses are considered, we find that stationary jets are perhaps dominant in low synchrotron peaked blazars. 63 $Fermi$ blazars with both available short variability time scales ($\Delta T$) and Doppler factors are also collected. We find that the intrinsic relationship between $L_{\gamma }^{\mathrm{in}}$ and $\Delta T^{\mathrm{in}}$ obeys the Elliot \& Shapiro and the Abramowicz \& Nobili relations. Strong positive correlation between $f_{\gamma }^{\mathrm{in}}$ and ${\nu }_{\mathrm{p}}^{\mathrm{in}}$ is found, suggesting that synchrotron emissions are highly correlated with $\gamma$-ray emissions.

Accepted by Research in Astronomy and Astrophysics (RAA)