a) Total mass versus mean FWHM size for the 29 starless sources found with Gaussclumps in the sum map of Cha III at scale 5. The angular resolution (21.2″) is marked by the dotted line. The solid line (M ∝ FWHM²) is the 5σ peak sensitivity limit for Gaussian sources. The dashed line shows the 6.3σ peak sensitivity limit which corresponds to a completeness limit of 90% for Gaussian sources. b) Total mass versus mean deconvolved FWHM size. Sizes smaller than 25.4″ were set to 25.4″ before deconvolution (see note b of Table 3). The solid line shows the relation that characterizes critical Bonnor-Ebert spheres (see Sect. 4.3.6). The dash-dotted line shows the location of this relation when divided by 2, and the dashed lines when divided by 4 and 6. The source with a mass larger than the critical Bonnor-Ebert mass M_BE,Pext estimated from the ambient cloud pressure is shown with a filled circle. c) Mass concentration versus mean FWHM size. The dashed line is the expectation for a circular Gaussian flux density distribution.