The Ionization Fraction of Barnard 68: Implications for Star and Planet Formation

We present a detailed study of the ionization fraction of the Barnard 68 pre-stellar core, using millimeter HCO and DCO lines observations. These observations are compared to the predictions of a radiative transfer model coupled to a chemical network that includes depletion on grains and gas phase deuterium fractionation. Together with previous observations and modelling of CO and isotopologues, our HCO and DCO observations and modelling allow to place constraints on the metal abundance and the cosmic ionization rate. The HCO emission is well reproduced for metals abundances lower than 3 × 10 and a standard cosmic ray ionization rate. However, the observations are also consistent with a complete depletion of metals, i.e. with cosmic rays as the only source of ionization at visual extinctions greater than a few Av. The DCO + emission is found to be dependent of the ortho to para H2 ratio, and indicates a ratio of ∼ 10. The derived ionization fraction is about 5 × 10 with respect to H nuclei, which is about an order of magnitude lower than the one observed in the L1544 core. The corresponding ambipolar diffusion timescale is found to be an order of magnitude larger than the free fall timescale at the center of the core. The inferred metal abundance suggests that magnetically inactive regions (dead zones) are present in protostellar disks. Subject headings: astrochemistry – stars: formation — ISM: abundances — ISM: molecules — ISM: individual (Barnard 68)