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We characterize in detail the two ~0.3 pc long filamentary structures foundwithin the subsonic region of Barnard 5. We use combined GBT and VLAobservations of the molecular lines NH$_3$(1,1) and (2,2) at a resolution of1800 au, as well as JCMT continuum observations at 850 and 450 $\mu$m at aresolution of 4400 au and 3000 au, respectively. We find that both filamentsare highly super-critical with a mean mass per unit length, $M/L$, of ~80M$_\odot$ pc$^{-1}$, after background subtraction, with local increasesreaching values of ~150 M$_\odot$ pc$^{-1}$. This would require a magneticfield strength of ~500 $\mu$G to be stable against radial collapse.  We extract equidistant cuts perpendicular to the spine of the filament andfit a modified Plummer profile as well as a Gaussian to each of the cuts. Thefilament widths (deconvolved FWHM) range between 6500-7000 au (~0.03 pc) alongthe filaments. This equals ~2.0 times the radius of the flat inner region. Wefind an anti-correlation between the central density and this flatteningradius, suggestive of contraction. Further, we also find a strong correlationbetween the power-law exponent at large radii and the flattening radius. Wenote that the measurements of these three parameters fall in a plane and derivetheir empirical relation. Our high-resolution observations provide directconstraints of the distribution of the dense gas within super-criticalfilaments showing pre- and protostellar activity.

Dissecting the super-critical filaments embedded in the 0.5 pc subsonic region of Barnard 5