Abstract
We analyse the spectral line energy distributions of (CO)-C-13 and (CO)-O-18 for the J = 1 -> 0 up to J = 7 -> 6 transitions in the gravitationally lensed ultraluminous infrared galaxy SMM J2135-0102 at z = 2.3. This is the first detection of (CO)-C-13 and (CO)-O-18 in a high-redshift star-forming galaxy. These data comprise observations of six transitions taken with Plateau de Bure Interferometer and we combine these with similar to 33 GHz Jansky Very Large Array data and our previous spatially resolved (CO)-C-12 and continuum emission information to better constrain the properties of the interstellar medium (ISM) within this system. We study both the velocity-integrated and kinematically decomposed properties of the galaxy and coupled with a large velocity gradient (LVG) model we find that the star-forming regions in the system vary in their cold gas properties, in particular in their chemical abundance ratios. We find strong (CO)-O-18 emission both in the velocity-integrated emission and in the two kinematic components at the periphery of the system, where the (CO)-O-18 line flux is equivalent to or higher than the (CO)-C-13. We derive an average velocity-integrated flux ratio of (CO)-C-13/(CO)-O-18 similar to 1 which suggests an abundance ratio of [(CO)-C-13]/[(CO)-O-18] which is at least seven times lower than that in the Milky Way. This is suggestive of enhanced (CO)-O-18 abundance, perhaps indicating star formation preferentially biased to high-mass stars. We estimate the relative contribution to the ISM heating from cosmic rays and UV of (30-3300) x 10(-25) erg s(-1) and 45 x 10(-25) erg s(-1) per H-2 molecule respectively and find them to be comparable to the total cooling rate of (0.8-20) x 10(-25) erg s(-1) from the CO. However, our LVG models indicate high (> 100 K) temperatures and densities (> 10(3)) cm(-3) in the ISM which may suggest that cosmic rays play a more important role than UV heating in this system. If cosmic rays dominate the heating of the ISM, the increased temperature in the star-forming regions may favour the formation of massive stars and so explain the enhanced (CO)-O-18 abundance. This is a potentially important result for a system which may evolve into a local elliptical galaxy.