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We present the results of CO(J=3-2) on-the-fly mappings of two nearbynon-barred spiral galaxies NGC 628 and NGC 7793 with the Atacama SubmillimeterTelescope Experiment at an effective angular resolution of 25". We successfullyobtained global distributions of CO(J=3-2) emission over the entire disks at asub-kpc resolution for both galaxies. We examined the spatially-resolved(sub-kpc) relationship between CO(J=3-2) luminosities (L'CO(3-2)) and infrared(IR) luminosities (LIR) for NGC 628, NGC 7793, and M 83, and compared it withglobal luminosities of JCMT Nearby Galaxy Legacy Survey sample. We found astriking linear L'CO(3-2)-LIR correlation over the 4 orders of magnitude, andthe correlation is consistent even with that for ultraluminous infraredgalaxies and submillimeter selected galaxies. In addition, we examined thespatially-resolved relationship between CO(J=3-2) intensities (ICO(3-2)) andextinction-corrected star formation rates (SFRs) for NGC 628, NGC 7793, and M83, and compared it with that for GMCs in M 33 and 14 nearby galaxy centers. Wefound a linear ICO(3-2)-SFR correlation with 1 dex scatter. We conclude thatthe CO(J=3-2) star formation law (i.e., linear L'CO(3-2)-LIR and ICO(3-2)-SFRcorrelations) is universally applicable to various types and spatial scales ofgalaxies, from spatially-resolved nearby galaxy disks to distant IR-luminousgalaxies, within 1 dex scatter.

CO(J=3-2) On-the-fly Mapping of the Nearby Spiral Galaxies NGC 628 and NGC 7793: Spatially-resolved CO(J=3-2) Star-formation Law