摘要: Spectroscopic reverberation mapping (RM) is a direct approach widely used to
estimate the mass of black holes (BHs) in active galactic nuclei (AGNs).
However, it is very time-consuming and difficult to apply to a large AGN
sample. The empirical relation between the broad-line region (BLR) size and
luminosity (H$\beta$ $R_{\rm BLR}\unicode{x2013}L_{\rm}$) provides a practical
alternative yet subject to large scatter and systematic bias. AGN continuum RM
(CRM) recently discovered a similar relation between the continuum emitting
region (CER) size and luminosity ($R_{\rm CER}\unicode{x2013}L$). Here we
present a new method to estimate BH masses via optical CRM assuming continuum
lags dominated by the diffuse continuum emission. This method will
significantly facilitate the estimation of RM BH mass thanks to the short
continuum lags and the easily accessible high-cadence and large-area
photometric data. Using a sample of 21 AGNs with both CER and BLR size, we find
a tight $R_{\rm BLR}\unicode{x2013}R_{\rm CER}$ relation (scatter $\sim0.28$
dex), with $R_{\rm BLR}$ on average 8.1 times of $R_{\rm CER}$ at 5100\r{A}.
This tight relation enables the BH mass estimation based on the CRM combined
with the velocity information. Applying the relation to rest objects in our CRM
sample, we demonstrate that the predicted $R_{\rm BLR,CRM}$ follow the existing
H$\beta$ $R_{\rm BLR}\unicode{x2013}L_{\rm}$ relation well and the estimated
CRM BH masses are consistent with the RM/single-epoch BH masses using H$\beta$.
Our proposed method will be a promising BH mass estimator in the era of Legacy
Survey of Space and Time.