Abstract
We use the first systematic samples of CO millimeter line emission in z~1-3
'main-sequence' star forming galaxies (SFGs) for studying the metallicity
dependence of the conversion factor \alpha_CO, from CO millimeter line
luminosity to molecular gas mass. The molecular gas depletion rate, which is
proportional to the ratio of star formation rate to CO line luminosity, is ~1
Gyr^-1 for near-solar metallicity galaxies with stellar masses above M_S~10^11
M_sun. Its value does not vary much between z~0 and 2. Below M_S the depletion
rates appear to increase with decreasing metallicity. We show that this trend
is probably not caused by starburst events or by changes in the physical
parameters of the molecular clouds but instead requires a metallicity dependent
conversion factor. The trend is also expected theoretically from the effect of
UV-photodissociation of CO at low metallicity. From the available z~0 and z~1-3
samples we constrain the slope of the log(\alpha_CO) -log (metallicity)
relation to range between -1.3 and -1.9. Because of the lower metallicities
near and beyond the peak of the galaxy formation activity at z~1-2 compared to
z~0, our findings suggest that molecular gas masses estimated from CO
luminosities have to be substantially corrected upward for galaxies below M_S.
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