S. Kaspi et al., Reverberation measurements for 17 quasars and the size-mass-luminosity relations in active galactic nuclei, ASTROPHYS J, 533(2), 2000, pp. 631-649
Correlated variations in the line and continuum emission from active galact
ic nuclei (AGNs) can be used to determine the size and geometry of the broa
d emission-line regions (BLRs). We have spectrophotometrically monitored a
well-defined sample of 28 Palomar-Green quasars in order to obtain measurem
ents of their BLRs and to investigate the relationships between quasar lumi
nosity, central black hole mass, and BLR size in AGNs. Spectrophotometry wa
s obtained every 1-4 months for 7.5 yr, yielding 20-70 observing epochs per
object. Both the continuum and emission-line fluxes of all of the quasars
were observed to change during the duration of the observing program. Seven
teen of the 28 objects were observed with adequate sampling (greater than o
r similar to 20 independent observing epochs) to search for correlated vari
ations between the Balmer emission lines and the continuum flux. For each o
f these 17 objects, a significant correlation was observed, with the Balmer
-line variations lagging those of the continuum by similar to 100 days (res
t frame). Our work increases the available luminosity range for studying th
e size-mass-luminosity relations in AGNs by 2 orders of magnitude and doubl
es the number of objects suitable for such studies. Combining our results w
ith comparable published data available for Seyfert 1 galaxies, we find the
BLR size scales with the rest-frame 5100 Angstrom luminosity as L0.70+/-0.
03. This determination of the scaling of the size of the BLR as a function
of luminosity is significantly different from those previously published an
d suggests that the effective ionization parameter in AGNs may be a decreas
ing function of luminosity. We are also able to constrain, subject to our a
ssumption that gravity dominates the motions of the BLR gas, the scaling re
lationship between the mass of the central black holes and the luminosity i
n AGNs. We find that the central mass scales with 5100 Angstrom luminosity
as M proportional to L0.5+/-0.1. This is inconsistent with all AGNs having
optical luminosity that is a constant fraction of the Eddington luminosity.