The Galactic Census of High- and Medium-mass Protostars. IV. Molecular Clump Radiative Transfer, Mass Distributions, Kinematics, and Dynamical Evolution.

We present $^{12}$CO, $^{13}$CO, and C$^{18}$O data as the next major release for the CHaMP project, an unbiased sample of Galactic molecular cloudsin $l$ = 280$^{\circ}$-300$^{\circ}$. From a radiative transfer analysis, we self-consistently compute 3D cubes of optical depth, excitation temperature, and column density for $\sim$300 massive clumps, and update the $I_{\rm CO}$-dependent CO$\rightarrow$H$_2$ conversion law of Barnes et al (2015). For $N$ $\propto$ $I^p$, we find $p$ = 1.92$\pm$0.05 for the velocity-resolved conversion law aggregated over all clumps. A practical, integrated conversion law is $N_{\rm CO}$ = (4.0$\pm$0.3)$\times$10$^{19}$m$^{-2}$ $I_{\rm CO}^{1.27\pm0.02}$, confirming an overall 2$\times$ higher total molecular mass for Milky Way clouds, compared to the standard $X$ factor. We use these laws to compare the kinematics of clump interiors with their foreground $^{12}$CO envelopes, and find evidence that most clumps are not dynamically uniform: irregular portions seem to be either slowly accreting onto the interiors, or dispersing from them. We compute the spatially-resolved mass accretion/dispersal rate across all clumps, and map the local flow timescale. While these flows are not clearly correlated with clump structures, the inferred accretion rate is a statistically strong function of the local mass surface density $\Sigma$, suggesting near-exponential growth or loss of mass over effective timescales $\sim$30-50 Myr. At high enough $\Sigma$, accretion dominates, suggesting gravity plays an important role in both processes. If confirmed by numerical simulations, this sedimentation picture would support arguments for long clump lifetimes mediated by pressure confinement, with a terminal crescendo of star formation, suggesting a resolution to the 40-yr-old puzzle of the dynamical state of molecular cloudsand their low star formation efficiency.