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More complex scenarios

Since the application of simple X-ray reflection arguments led us to deduce an unacceptably large black hole mass, we must examine alternative avenues. Indeed, the spectral fitting of Lee et al. (1999b) forces us to consider complications beyond the simple reflection picture -- In their spectral fitting, they found that the Compton reflection continuum fails to show the expected correlation with the iron line equivalent width (in fact, they are anti-correlated; Lee et al. 1999b). Very similar behaviour is also seen in NGC 5548 (Chiang et al. 1999)

Ionization of the disk surface is one of the few physical phenomenon that can (partially) decouple the strength of the Compton reflection continuum from the strength of the iron line. Matt, Fabian & Ross (1993) demonstrated that the iron emission line is more sensitive to ionization effects than the general form of the Compton reflection continuum. In other words, patches of the disk with certain (surface) ionization parameters can produce a Compton reflection continuum without producing appreciable iron fluorescence.

We use this fact to construct the following simple model. Let the X-ray flux illuminating the surface layers of the accretion disk be

equation343

A variety of X-ray source geometries give tex2html_wrap_inline1253 at large radii, and tex2html_wrap_inline1255 as one approaches the innermost parts of the disk. Now, the ionization parameter of at the surface of the disk is given by

equation347

where n(r) is the density of the surface layers of the disk. We suppose that tex2html_wrap_inline1259 . Hence, we have

equation352

Standard disk models (Shakura & Sunyeav 1973) give tex2html_wrap_inline1261 at large radii, and tex2html_wrap_inline1263 near the inner part of the disk. Now, suppose that there exists a critical ionization parameter tex2html_wrap_inline1265 above which there is no iron line produced. For reasonable values of tex2html_wrap_inline1267 and tex2html_wrap_inline939 , this gives a critical radius tex2html_wrap_inline1271 within which no iron line is produced. The total iron line flux expected from the object is then given by

equation358

which is readily manipulated to give

equation363

For our canonical values of tex2html_wrap_inline1267 and tex2html_wrap_inline939 , this gives tex2html_wrap_inline1277 . Thus, this simple model produces an iron line flux which is anti-correlated with the flux of the illuminating source. Provided a strong Compton reflection continuum can still originate from the ionized portions of the disk, this type of picture may explain the spectral behavior that we observe.

One simple prediction of this model is that the velocity width of the line profile gets smaller as the continuum flux increases (due to an outward migration in the inner radius of the line emitting region). Of course, the toy model presented above only captures the crudest aspects of the problem. Fully self-consistent ionized reflection models must be calculated (taking into account the vertical structure of the disk; e.g. see Nayakshin, Kazanas & Kallman 1999) and compared with the data in order to test whether the picture sketched here is reasonable or not.

Even if global, flux-correlated changes in the ionization of the disk surface are responsible for the observed spectral changes, we would still expect reverberation signatures on short timescales. We have set upper limits of tex2html_wrap_inline1279 s on the timescale of any reverberation delay. If the black hole mass is tex2html_wrap_inline1281 , the light crossing time of the iron line producing region is tex2html_wrap_inline1283 s, and hence we need to infer a disk-hugging corona (with tex2html_wrap_inline1285 ) in order to be compatible with the reverberation limits. If, instead, the black hole is tex2html_wrap_inline1287 , the light crossing time of the entire line producing region is only tex2html_wrap_inline1289 and so the X-ray source geometry is unconstrained by our reverberation limits. The corresponding Eddington ratios are tex2html_wrap_inline1291 and tex2html_wrap_inline1293 for black hole masses of tex2html_wrap_inline1295 and tex2html_wrap_inline1297 respectively.


next up previous
Next: Conclusions Up: Discussion Previous: Simple reflection models

Chris Reynolds
Tue Jan 11 17:27:37 MST 2000