Central black hole mass determination for blazers

Abstract

In this paper, we use a method to determine some basic parameters for the γ-ray loud blazars. The parameters include the central black mass (M), the boosting factor (δ), the propagation angle (Φ), the distance along the axis to the site of the γ-ray production (d). A sample including 32 γ-ray loud blazars with available variability time scales has been used to discuss the above properties. In this method, the γ-ray energy, the emission size and the property of the accretion disc determine the absorption effect. If we take the intrinsic γ-ray luminosity to be λ times the Eddington luminosity, i.e. Lγin = λLEdd, then we have the following results: the mass of the black hole is in the range of (0.59 – 67.99) × 107M⊙ (λ = 1.0) or (0.90 – 104.13) × 107M⊙ (λ = 0.1); the boosting factor (δ) in the range of 0.16 – 2.09(λ = 1.0) or 0.24 – 2.86 (λ = 0.1); the angle (Φ) in the range of 9.53° – 73.85° (λ = 1.0) or 7.36° – 68.89° (λ = 0.1); and the distance (d/Rg) in the range of 22.39 – 609.36 (λ = 1.0) or 17.54 – 541.88 (λ = 0.1).