A CS J=5 -> 4 mapping survey toward high-mass star-forming cores associated with water masers

We have mapped 63 regions forming high-mass stars in CS J = 5 --> 4 using the CSO. The CS peak position was observed in (CS)-S-34 J = 5 --> 4 toward 57 cores and in (CS)-C-13 J = 5 --> 4 toward the nine brightest cores. The sample is a subset of a sample originally selected toward water masers; the selection on maser sources should favor sources in an early stage of evolution. The cores are located in the first and second Galactic quadrants with an average distance of 5.3 +/- 3.7 kpc and were well detected with a median peak signal-to-noise ratio in the integrated intensity of 40. The integrated intensity of CS J = 5 --> 4 correlates very well with the dust continuum emission at 350 mum. For 57 sufficiently isolated cores, a well-defined angular size (FWHM) was determined. The core radius (R-CS), aspect ratio [(a/b)(obs)], virial mass (M-vir), surface density (Sigma), and the luminosity in the CS J = 5 --> 4 line (L(CS54)) are calculated. The distributions of size, virial mass, surface density, and luminosity are all peaked with a few cores skewed toward much larger values than the mean. The median values, mu(1/2), are as follows: mu(1/2) (R-CS) = 0.32 pc, mu(1/2) ((a/b)(obs)) = 1.20, mu(1/2) (M-vir) = 920 M-., mu(1/2) (Sigma) = 0.60 g cm(-2), mu(1/2) (L(CS54)) = 1.9 x 10(-2) L-., and mu(1/2) (L-bol/M-vir) = 165 (L/M)(.). We find a weak correlation between (CS)-S-34 line width and size, consistent with Deltav similar to R-0.3. The line widths are much higher than would be predicted by the usual relations between line width and size determined from regions of lower mass. These regions are very turbulent. The derived virial mass agrees within a factor of 2 - 3 with mass estimates from dust emission at 350 mum after corrections for the density structure are accounted for. The resulting cumulative mass spectrum of cores above 1000 M-. can be approximated by a power law with a slope of about - 0.9, steeper than that of clouds measured with tracers of lower density gas and close to that for the total masses of stars in OB associations. The median turbulent pressures are comparable to those in UCH II regions, and the pressures at small radii are similar to those in hypercompact H II regions (P/k similar to 10(10) K cm(-3)). The filling factors for dense gas are substantial, and the median abundance of CS is about 10(-9). The ratio of bolometric luminosity to virial mass is much higher than the value found for molecular clouds as a whole, and the correlation of luminosity with mass is tighter.