A sensitive survey for 13CO, CN, H2CO and SO in the disks of T Tauri and
  Herbig Ae stars
  We use the IRAM 30-m telescope to perform a sensitive search for CN N=2-1 in
42 T Tauri or Herbig Ae systems located mostly in the Taurus-Auriga region.
$^{13}$CO J=2-1 is observed simultaneously to indicate the level of confusion
with the surrounding molecular cloud. The bandpass also contains two
transitions of ortho-H$_2$CO, one of SO and the C$^{17}$O J=2-1 line which
provide complementary information on the nature of the emission.
  While $^{13}$CO is in general dominated by residual emission from the cloud,
CN exhibits a high disk detection rate $> 50$% in our sample. We even report CN
detection in stars for which interferometric searches failed to detect
$^{12}$CO, presumably because of obscuration by a foreground, optically thick,
cloud. Comparison between CN and o-H$_2$CO or SO line profiles and intensities
divide the sample in two main categories. Sources with SO emission are bright
and have strong H$_2$CO emission, leading in general to [H$_2$CO/CN]$ > 0.5$.
Furthermore, their line profiles, combined with a priori information on the
objects, suggest that the emission is coming from outflows or envelopes rather
than from a circumstellar disk. On the other hand, most sources have
[H$_2$CO/CN]$ < 0.3$, no SO emission, and some of them exhibit clear
double-peaked profiles characteristics of rotating disks. In this second
category, CN is likely tracing the proto-planetary disks. From the line flux
and opacity derived from the hyperfine ratios, we constrain the outer radii of
the disks, which range from 300 to 600 AU. The overall gas disk detection rate
(including all molecular tracers) is $\sim 68%$, and decreases for fainter
continuum sources.
  This study shows that gas disks, like dust disks, are ubiquitous around young
PMS stars in regions of isolated star formation, and that a large fraction of
them have $R > 300$ AU.
