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X-Ray Spectral Model from Clumpy Torus and Its Application to Circinus Galaxy

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 Added by Atsushi Tanimoto
 Publication date 2019
  fields Physics
and research's language is English




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We construct an X-ray spectral model from the clumpy torus in an active galactic nucleus (AGN), designated as XCLUMPY, utilizing the Monte Carlo simulation for Astrophysics and Cosmology framework (MONACO: Odaka et al. 2011, 2016). The adopted geometry of the torus is the same as that in Nenkova et al. (2008), who assume a power law distribution of clumps in the radial direction and a normal distribution in the elevation direction. We investigate the dependence of the X-ray continuum and Fe K$alpha$ fluorescence line profile on the torus parameters. Our model is compared with other torus models: MYTorus model (Murphy & Yaqoob 2009), Ikeda model (Ikeda et al. 2009), and CTorus model (Liu & Li 2014). As an example, we also present the results applied to the broadband X-ray spectra of the Circinus galaxy observed with XMM-Newton, Suzaku, and NuSTAR. Our model can well reproduce the data, yielding a hydrogen column density along the equatorial plane $N_{mathrm{H}}^{mathrm{Equ}} = 9.08_{-0.08}^{+0.14} times 10^{24}$ cm$^{-2}$, a torus angular width $sigma = 14.7_{-0.39}^{+0.44}$ degree, and a 2--10 keV luminosity $log L_{2-10}/mathrm{erg s^{-1}} = 42.8$. These results are discussed in comparison with the observations in other wavelengths.



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195 - Jiren Liu , Yuan Liu , Xiaobo Li 2016
The reflection spectrum of the torus around AGN is characterized by X-ray fluorescent lines, which are most prominent for type II AGN. A clumpy torus allows photons reflected from the back-side of the torus to leak through the front free-of-obscuration regions. Therefore, the observed X-ray fluorescent lines are sensitive to the clumpiness of the torus. We analyse a sample of type II AGN observed with Chandra HETGS, and measure the fluxes for the Si Ka and Fe Ka lines. The measured Fe Ka/Si Ka ratios, spanning a range between $5-60$, are far smaller than the ratios predicted from simulations of smooth tori, indicating that the tori of the studied sources have clumpy distributions rather than smooth ones. Compared with simulation results of clumpy tori with a half-opening angle of 60$^{circ}$, the Circinus galaxy has a Fe Ka/Si Ka ratio of $sim60$, which is close to the simulation results for $N=5$, where $N$ is the average number of clumps along the line of sight. The Fe Ka/Si Ka ratios of the other sources are all below the simulation results for $N=2$. Overall, it shows that the non-Fe fluorescent lines in the soft X-ray band are a potentially powerful probe of the clumpiness of the torus around AGN.
The gravitational properties of a torus are investigated. It is shown that a torus can be formed from test particles orbiting in the gravitational field of a central mass. In this case, a toroidal distribution is achieved because of the significant spread of inclinations and eccentricities of the orbits. To investigate the self-gravity of the torus we consider the $N$-body problem for a torus located in the gravitational field of a central mass. It is shown that in the equilibrium state the cross-section of the torus is oval with a Gaussian density distribution. The dependence of the obscuring efficiency on torus inclination is found.
The location of the obscuring torus in an active galactic nucleus (AGN) is still an unresolved issue. The line widths of X-ray fluorescence lines originated from the torus, particularly Fe K$alpha$, carry key information on the radii of line emitting regions. Utilizing XCLUMPY (Tanimoto et al. 2019), an X-ray clumpy torus model, we develop a realistic model of emission line profiles from an AGN torus where we take into account line broadening due to the Keplerian motion around the black hole. Then, we apply the updated model to the best available broadband spectra (3-100 keV) of the Circinus galaxy observed with Suzaku, XMM-Newton, Nuclear Spectroscopic Telescope Array (NuSTAR), and Chandra, including 0.62 Ms Chandra/HETG data. We confirm that the torus is Compton-thick (hydrogen column-density along the equatorial plane is $N_mathrm{H}^mathrm{Equ}=2.16^{+0.24}_{-0.16}times 10^{25} mathrm{cm}^{-2}$), geometrically thin (torus angular width $sigma=10.3^{+0.7}_{-0.3} mathrm{degrees}$), viewed edge-on (inclination $i=78.3^{+0.4}_{-0.9} mathrm{degrees}$), and has super-solar abundance ($1.52^{+0.04}_{-0.06}$ times solar). Simultaneously analyzing the Chandra/HETG first, second, and third order spectra with consideration of the spatial extent of the Fe K$alpha$ line emitting region, we constrain the inner radius of the torus to be $1.9^{+3.1}_{-0.8}times 10^5$ times the gravitational radius, or $1.6^{+1.5}_{-0.9}times 10^{-2} mathrm{pc}$ for a black hole mass of $(1.7pm 0.3)times 10^6 M_{odot}$. This is about 3 times smaller than that estimated from the dust sublimation radius, suggesting that the inner side of the dusty region of the torus is composed of dust-free gas.
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