Basic properties of Gamma-ray loud blazars

Abstract

In this paper, a method is proposed to determine the basic properties of $γ$-ray loud blazars, among them the central black hole mass, M, the Doppler factor, $δ$, the propagation angle of the $γ$-rays with respect to the symmetric axis of a two-temperature accretion disk, $Φ$, and the distance (i.e. the height above the accretion disk), d at which the $γ$-rays are created, for seven $γ$-ray loud blazars with available GeV variability timescales and in which the absorption effect of a $γ$-ray and the beaming effect have been taken into account. Our results indicate that, if we take the intrinsic $γ$-ray luminosity to be $λ$ times the Eddington luminosity, $L_γ^{in} = λL_{Edd.}$, the masses of the blazars are in the range of $(4 \sim 131)\times 10^{7}M_{\odot}$, the Doppler factors ($δ$) lie in the range of 0.57 to 5.33 the angle ($Φ$) is in the range of $13^{\circ}$ to 43$^{\circ}$ and the distance (d) is in the range of 26R_{g} to 411R_{g}. Our model results are independent of $γ$-ray emission mechanisms but they do depend on the X-ray emission mechanism of the accretion disk.