\documentstyle[pptwocol]{preprint} \input pub.st} \begin{document} \title{A SEARCH FOR THE CO--H\boldmath{$_2$} DIMER IN THE GALAXY} \author{R.~J.\ Allen, L.\ Loinard\/\thanks{Observatoire de Grenoble, Laboratoire d'Astrophysique, Universit\'e Joseph Fourier, B.P.~53X, F-38041 Grenoble Cedex, France}\\ \\ Space Telescope Science Institute\\ \\ 3700 San Martin Drive\\ \\ Baltimore, MD 21218\\ \and A.~R.~W.\ McKellar\\ \\ Steacie Institute for Molecular Sciences\\ \\ National Research Council of Canada\\ \\ Ottawa, Ontario K1A 0R6, Canada\\ \and J.\ Lequeux\\ \\ DEMIRM, Observatoire de Paris\\ \\ 61 Avenue de l'Observatoire\\ \\ F-75014 Paris, France} \pub{Ap.~J} \recacc{24 January 1997}{18 February 1997} \maketitle \abstract{We have used the 30~m IRAM millimeter radio telescope to search for two low-lying rotational transitions of the CO--H$_2$ dimer in the emission spectra of 3~Galactic sources and in the absorption spectrum of a low-latitude extragalactic continuum source. The transitions are the 111-$\leftrightarrow$ 000+ line at 109.21~GHz, and the 110+ $\leftrightarrow$ 101- line at 90.84~GHz. The search targets were the TMC~1 and L~134 dark clouds, the L~1157 bipolar outflow, and the compact radio continuum source 2013+370. The sectral search covered the frequency ranges from 90.58--91.10~GHz and from 108.95--109.46~GHz. Several known emission lines were found including HC$_3$N(12-11), HC$_3$N(10-9), OCS, SO, and HNC, but no other features were seen in the spectra. The rms noise was typically 5~mK per 1~MHz channel ($\approx3$~km~s$^1$). We conclude that the fractional abundance of the CO--H$_2$ dimer with respect to the CO monomer is typically $\leq1\times10^{-4}$ if the excitation temperature is at least a few degrees above the cosmic background. This is the most stringent upper limit yet placed on the presence of a dimer in the ISM.}