{\bf ABSTRACT} We propose to use the NRAO 12m telescope to search for CO (J = 1 - 0) emission from the tidal tails of five merging or interacting galaxies. These plumes are very HI-rich, and may contain star forming regions; they may eventually evolve into independent dwarf galaxies. Determining the molecular content of these plumes is important in understanding the issue of star formation in tidal plumes, as well as in understanding their origin and subsequent development. {\bf I. Scientific Justification} At low optical surface brightness levels, a subset of peculiar galaxies show long thin streamers extending $\sim$100 kpc from the nucleus. These ``tidal tails'' are now recognized to be the endproduct of the merger (or close encounter) of two galaxies (Toomre and Toomre 1972). It was hypothesized early on (Zwicky 1956) that such structures might be able to form density concentrations that would eventually become independant dwarf galaxies. This idea has been revived recently on theoretical grounds (Gerola et al. 1983; Barnes and Hernquist 1992; Elmegreen et al. 1993), and on the basis of optical observations of tidal tails (Mirabel et al. 1991, 1992). The formation of a class of galaxies through tidal interactions has obvious implications for our understanding of galaxy evolution, such as the question of how many dwarfs have apparently avoided significant amounts of star formation over a Hubble time. Radio HI observations of tidal tails show them to be gas rich, with numerous clumps of high column density. The HI masses of these clumps are often $\sim$10$^{9}$ M$_{\odot}$, and several are known to possess faint star forming regions (Mirabel et al. 1991, 1992). The observed HI and optical properties of the clumps are similar to those found in dwarf galaxies (Hunter and Gallagher 1985; Kunth 1986). The presence of massive star formation associated with the HI clumps suggests that molecular material is also present, especially since the clump HI column densities often exceed the self-shielding limit ($\sim$10$^{21}$ cm$^{-2}$; Federman et al. 1979). While a growing set of optical and radio observations exist, no CO studies have been published. Such information would be valuable to our understanding of the evolution of tidal plumes. {\bf II. Proposed Observations} We propose to use the NRAO 12m telescope to search for molecular gas in the tidal tails of five peculiar galaxies using the $^{12}$CO(1-0) line. These galaxies are given in Table 1, along with their coordinates, the HI masses of the plumes, their velocities, and the reference for the HI data. These systems were chosen on the basis of their well developed plumes and the availability of HI data indicating conditions favorable for star formation. Their photographs in the Arp Atlas (1966) show long plumes characteristic of recent mergers or close encounters. Clumpy HI counterparts of the optical tails have been discovered in each system, with HI column densities of $\sim$4 $\times$ 10$^{20}$ cm$^{-2}$ over angular sizes comparable to the NRAO beam. We intend to observe an average of two positions per plume, at the HI maxima. Peak column densities at these positions are above 10$^{21}$ cm$^{-2}$. These observations will be made in conjunction with optical imaging and spectroscopy to be done at McDonald Observatory, as part of our efforts to determine the distribution and properties of star forming regions in the plumes. {\bf III. Signal Estimates} To reach an average H$_2$/HI ratio of 0.2 for the HI concentrations in the plumes (similar to that found in many dwarf galaxies [Combes 1986; Tacconi and Young 1987], assuming the Galactic conversion factor) requires a 3$\sigma$ level of I(CO) $\sim$ 0.27 K km/s. 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