Variations of the physical parameters of the blazar Mrk 421 based on the analysis of the spectral energy distributions.

We report on the variations of the physical parameters of the jet observed in the blazar Mrk 421, and discuss the origin of X-ray flares in the jet, based on the analysis of the several spectral energy distributions (SEDs). The SEDs are modeled using the one-zone synchrotron self-Compton (SSC) model and its parameters determined using a Markov chain Monte Carlo method. The lack of data at TeV energies means many of the parameters cannot be uniquely determined and are correlated. These are studied in detail. We found that the optimal solution can be uniquely determined only when we apply a constraint to one of four parameters: the magnetic field (B), Doppler factor, size of the emitting region, and normalization factor of the electron energy distribution. We used 31 sets of SED from 2009 to 2014 with optical-UV data observed with UVOT/Swift and the Kanata telescope, X-ray data with XRT/Swift, and gamma-ray data with the Fermi Large Area Telescope (LAT). The result of our SED analysis suggests that, in the X-ray faint state, the emission occurs in a relatively small area (~ 10^16 cm) with relatively strong magnetic field (B~10^-1 G). The X-ray bright state shows a tendency opposite to that of the faint state, that is, a large emitting area (~10^18 cm), probably in the downstream of the jet and weak magnetic field (B~10^-3 G). The high X-ray flux was due to an increase in the maximum energy of electrons. On the other hand, the presence of two kinds of emitting areas implies that the one-zone model is unsuitable to reproduce, at least a part of the observed SEDs.