We present optical depth and temperature maps of the Perseus molecular cloud, obtained combining dust emission data from the Herschel and Planck satellites and 2MASS/NIR dust extinction maps. The maps have a resolution of 36~arcsec in the Herschel regions, and of 5~arcmin elsewhere. The dynamic range of the optical depth map ranges from 1x10^-2^mag up to 20mag in the equivalent K band extinction. We also evaluate the ratio between the SI2.2{mu} extinction coefficient and the SI850{mu} opacity. The value we obtain is close to the one found in the Orion B molecular cloud. We show that the cumulative and the differential area function of the data (which is proportional to the probability distribution function of the cloud column density) follow power laws with index respectively ~=-2, and ~=-3. We use WISE data to improve current YSO catalogs based mostly on Spitzer data and we build an up-to-date selection of Class I/0 objects. Using this selection, we evaluate the local Schmidt law, {Sigma}YSO{prop.to}{Sigma}_gas^{beta}^, showing that {beta}=2.4+/-0.6. Finally, we show that the area-extinction relation is important for determining the star formation rate in the cloud, which is in agreement with other recent works.

Cone search capability for table J/A+A/587/A106/tablec1 (Catalog of the protostars used to determine the Schmidt law)

Cone search capability for table J/A+A/587/A106/list (List of fits files)