The Physical Drivers and Observational Tracers of CO-to-H₂ Conversion Factor Variations in Nearby Barred Galaxy Centers

The CO-to-H-2 conversion factor (alpha CO) is central to measuring the amount and properties of molecular gas. It is known to vary with environmental conditions, and previous studies have revealed lower alpha CO in the centers of some barred galaxies on kiloparsec scales. To unveil the physical drivers of such variations, we obtained Atacama Large Millimeter/submillimeter Array bands (3), (6), and (7) observations toward the inner similar to 2 kpc of NGC 3627 and NGC 4321 tracing (CO)-C-12, (CO)-C-13, and (CO)-O-18 lines on similar to 100 pc scales. Our multiline modeling and Bayesian likelihood analysis of these data sets reveal variations of molecular gas density, temperature, optical depth, and velocity dispersion, which are among the key drivers of aCO. The central 300 pc nuclei in both galaxies show strong enhancement of temperature Tk greater than or similar to 100 K and density n(H2) > 10(3) cm(-3). Assuming a CO-to-H-2 abundance of 3 x 10(-4), we derive 4-15 times lower alpha(CO) than the Galactic value across our maps, which agrees well with previous kiloparsec-scale measurements. Combining the results with our previous work on NGC 3351, we find a strong correlation of alpha(CO) with low-J (CO)-C-12 optical depths (tau(CO)), as well as an anticorrelation with Tk. The tCO correlation explains most of the aCO variation in the three galaxy centers, whereas changes in T-k influence alpha(CO) to second order. Overall, the observed line width and (CO)-C-12/(CO)-C-13 2-1 line ratio correlate with tCO variation in these centers, and thus they are useful observational indicators for alpha(CO) variation. We also test current simulation-based alpha(CO) prescriptions and find a systematic overprediction, which likely originates from the mismatch of gas conditions between our data and the simulations.