Cosmic Star Formation Rate at z~ 3 Metallicity Effect

Mathematics – Logic

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Scientific paper

Infrared (IR) emission from galactic dust is frequently used as an indicator of star formation rate (SFR). Recently, Inoue et al. (2000) derived a formula of the conversion from the IR luminosity to the SFR based on a physical model of H II regions. They expressed the formula as SFR/(Modot yr-1)= 1.1× 10-10(1- η )/(0.4-0.22f+0.6ɛ ) (LIR/Lodot ), where f is the fraction of ionizing photons absorbed by hydrogen, ɛ is the efficiency of dust absorption for non-ionizing photons, η is the cirrus fraction of observed dust luminosity, and LIR is the observed luminosity of dust emission. Since f depends on the dust-to-gas ratio and the dust-to-gas ratio is related to metallicity, we present the dependence of the formula on the metallicity. Our metallicity-dependent conversion formula is applied to the cosmic star formation history. Based on a recent model of the cosmic star formation history and metal enrichment history, we find that the photons from OB stars are not efficiently reprocessed in the IR before z~ 3 because of low dust-to-gas ratio. This indicates that the star formation rate estimated from sub-millimetre luminosity by using an empirical formula is significantly underestimated (by at least factor 3).

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