The formation time, masses, and location of planets are strongly impacted by
the physical mechanisms that disperse protoplanetary disks and the timescale
over which protoplanetary material is cleared out. Accretion of matter onto the
central star, protostellar winds/jets, magnetic disk winds, and
photoevaporative winds operate concurrently. Hence, disentangling their
relative contribution to disk dispersal requires identifying diagnostics that
trace different star-disk environments. Here, we analyze the low velocity
component (LVC) of the Oxygen optical forbidden lines, which is found to be
blueshifted by a few km/s with respect to the stellar velocity. We find that
the [OI] LVC profiles are different from those of [NeII] at 12.81\mu m and CO
at 4.7\mu m lines pointing to different origins for these gas lines. We report
a correlation between the luminosity of the [OI] LVC and the accretion
luminosity Lacc. We do not find any correlation with the X-ray luminosity,
while we find that the higher is the stellar FUV luminosity, the higher is the
luminosity of the [OI] LVC. In addition, we show that the [OI]6300\AA/5577\AA
ratio is low (ranging between 1 and 8). These findings favor an origin of the
[OI] LVC in a region where OH is photodissociated by stellar FUV photons and
argue against thermal emission from an X-ray-heated layer. Detailed modeling of
two spectra with the highest S/N and resolution shows that there are two
components within the LVC: a broad, centrally peaked component that can be
attributed to gas arising in a warm disk surface in Keplerian rotation (with
FWHM between ~40 and ~60 km/s), and a narrow component (with FWHM ~10 km/s and
small blueshifts of ~2 km/s) that may arise in a cool (<1,000 K) molecular
wind.

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