Kiloparsec-Scale Variations in the Star Formation Efficiency of Dense Gas: The Antennae Galaxies (NGC 4038/39)

We study the relationship between dense gas and star formation in the Antennae galaxies by comparing Atacama large millimeter/submillimeter array (ALMA) observations of dense-gas tracers (HCN, HCO+, and HNC J = 1-0) with the total infrared luminosity (L-TIR) calculated using data from the Herschel Space Observatory and the Spitzer Space Telescope. We compare the luminosities of our star formation rate (SFR) and gas tracers using aperture photometry and employing two methods for defining apertures. We taper the ALMA data set to match the resolution of our L-TIR maps and present new detections of dense-gas emission from complexes in the overlap and western aim regions. Using Owens Valley Radio Observatory CO J = 1-0 data, we compare with the total molecular gas content, M(H-2)(tot), and calculate star formation efficiencies and dense-gas mass fractions for these different regions. We derive HCN, HCO+, and HNC upper limits for apertures where emission was not significantly detected, because we expect that emission from dense gas should be present in most star-forming regions. The Antennae extends the linear L-TIR -L-HCN relationship found in previous studies. The L-TIR -L-HCN ratio varies by up to a factor of similar to 10 across different regions of the Antennae, implying variations in the star formation efficiency of dense gas, with the nuclei, NGC 4038 and NGC 4039, showing the lowest SFEdense (0.44 and 0.70 x 10(-8) yr(-1)). The nuclei also exhibit the highest dense-gas fractions (similar to 9.1% and similar to 7.9%).