中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1526-1533.doi: 10.1088/1674-1056/17/4/062

• • 上一篇    

Central black hole mass determination for blazars

樊军辉1, 黄勇1, 袁聿海2   

  1. (1)Center for Astrophysics, Guangzhou University, Guangzhou 510400, China; (2)Center for Experiment, Guangzhou University, Guangzhou 510400, China;Center for Astrophysics, Guangzhou University, Guangzhou 510400, China
  • 收稿日期:2007-03-13 修回日期:2007-10-23 出版日期:2008-04-20 发布日期:2008-04-20
  • 基金资助:
    Project supported by the National Science Foundation for Distinguished Young Scholars of China (Grant No 10125313) and the National Natural Science Foundation of China (Grant Nos 10573005 and 10633010).

Central black hole mass determination for blazars

Yuan Yu-Hai(袁聿海)a)b), Fan Jun-Hui(樊军辉)b), and Huang Yong(黄勇)b)   

  1. a Center for Experiment, Guangzhou University, Guangzhou 510400, China; b Center for Astrophysics, Guangzhou University, Guangzhou 510400, China
  • Received:2007-03-13 Revised:2007-10-23 Online:2008-04-20 Published:2008-04-20
  • Supported by:
    Project supported by the National Science Foundation for Distinguished Young Scholars of China (Grant No 10125313) and the National Natural Science Foundation of China (Grant Nos 10573005 and 10633010).

摘要: In this paper, we use a method to determine some basic parameters for the $\gamma$-ray loud blazars. The parameters include the central black mass ($M$), the boosting factor ($\delta$), the propagation angle (${\it {\it\Phi}}$), the distance along the axis to the site of the $\gamma$-ray production ($d$). A sample including 32 $\gamma$-ray loud blazars with available variability time scales has been used to discuss the above properties. In this method, the $\gamma$-ray energy, the emission size and the property of the accretion disc determine the absorption effect. If we take the intrinsic $\gamma$-ray luminosity to be $\lambda$ times the Eddington luminosity, i.e. $L_{\gamma}^{\rm in}=\lambda{L_{\rm Edd}}$, then we have the following results: the mass of the black hole is in the range of $(0.59-67.99)\times10^{7}M_{\odot} \ (\lambda=1.0)$ or $(0.90-104.13)\times10^{7}M_{\odot} \ (\lambda=0.1)$; the boosting factor ($\delta$) in the range of $0.16-2.09(\lambda=1.0)$ or $0.24-2.86\ (\lambda=0.1)$; the angle (${\it\Phi}$) in the range of $9.53^{\circ}-73.85^{\circ}\ (\lambda=1.0)$ or $7.36^{\circ}-68.89^{\circ}\ (\lambda=0.1)$; and the distance ($d/R_{\rm g}$) in the range of $22.39-609.36\ (\lambda=1.0)$ or $17.54-541.88\ (\lambda=0.1)$.

关键词: galaxies, active-galaxies, BL Lacertae objects, general-galaxies

Abstract: In this paper, we use a method to determine some basic parameters for the $\gamma$-ray loud blazars. The parameters include the central black mass ($M$), the boosting factor ($\delta$), the propagation angle (${\it {\it\Phi}}$), the distance along the axis to the site of the $\gamma$-ray production ($d$). A sample including 32 $\gamma$-ray loud blazars with available variability time scales has been used to discuss the above properties. In this method, the $\gamma$-ray energy, the emission size and the property of the accretion disc determine the absorption effect. If we take the intrinsic $\gamma$-ray luminosity to be $\lambda$ times the Eddington luminosity, i.e. $L_{\gamma}^{\rm in}=\lambda{L_{\rm Edd}}$, then we have the following results: the mass of the black hole is in the range of $(0.59-67.99)\times10^{7}M_{\odot} \ (\lambda=1.0)$ or $(0.90-104.13)\times10^{7}M_{\odot} \ (\lambda=0.1)$; the boosting factor ($\delta$) in the range of $0.16-2.09(\lambda=1.0)$ or $0.24-2.86\ (\lambda=0.1)$; the angle (${\it\Phi}$) in the range of $9.53^{\circ}-73.85^{\circ}\ (\lambda=1.0)$ or $7.36^{\circ}-68.89^{\circ}\ (\lambda=0.1)$; and the distance ($d/R_{\rm g}$) in the range of $22.39-609.36\ (\lambda=1.0)$ or $17.54-541.88\ (\lambda=0.1)$.

Key words: galaxies, active-galaxies, BL Lacertae objects, general-galaxies

中图分类号:  (Quasars)

  • 98.54.Aj
98.54.Cm (Active and peculiar galaxies and related systems (including BL Lacertae objects, blazars, Seyfert galaxies, Markarian galaxies, and active galactic nuclei)) 98.62.Ck (Masses and mass distribution) 98.62.Js (Galactic nuclei (including black holes), circumnuclear matter, and bulges) 98.70.Qy (X-ray sources; X-ray bursts)