Size of the accretion disk in the graviationally lensed quasar SDSS J1004+4112 from the statistics of microlensing magnifications
We present eight monitoring seasons of the four brightest images of the gravitational lens SDSS J1004+4112 observed between 2003 December and 2010 October. Using measured time delays for the images A, B, and C and the model predicted time delay for image D we have removed the intrinsic quasar variability, finding microlensing events of about 0.5 and 0.7 mag of amplitude in the images C and D. From the statistics of microlensing amplitudes in images A, C, and D, we have inferred the half-light radius (at λ{sub rest}=2407 A-ring ) for the accretion disk using two different methods, R{sub 1/2}=8.7{sub −5.5}{sup +18.5}√(M/0.3M{sub ⊙}) (histogram product) and R{sub 1/2}=4.2{sub −2.2}{sup +3.2}√(M/0.3M{sub ⊙}) lt-days (χ{sup 2}). The results are in agreement within uncertainties with the size predicted from the black hole mass in SDSS J1004+4112 using thin disk theory.