Theoretical expectations for magnetic field measurements in molecular cloud cores

Abstract

The currently most viable methods to estimate magnetic field strengths in molecular cloud cores are Zeeman measurements and the Chandrasekhar-Fermi (CF) method. The CF-method estimates magnetic field strengths from polarimetry and relies on equipartition between the turbulent kinetic and turbulent magnetic energy in the observed region. Thus, its application to objects not dominated by hydromagnetic turbulence is questionable. We calibrate the CF-method and Zeeman measurements against numerical models of self-gravitating molecular cloud cores. We find -- in agreement with previous results -- that the CF-method is on the average accurate up to a factor of 2, while a single estimate can be off by a factor of 7. The CF-method is surprisingly robust even when applied to regions not dominated by hydromagnetic turbulence and in the face of small-number statistics. Zeeman measurements can systematically overestimate the field strength in high-density regions, if the field is predominantly oriented along the line of sight, while they tend to underestimate the field in other cases.