Low-J CO Line Ratios from Single-dish CO Mapping Surveys and PHANGS-ALMA

<jats:title>Abstract</jats:title> <jats:p>We measure the low-<jats:italic>J</jats:italic> CO line ratios <jats:italic>R</jats:italic> <jats:sub>21</jats:sub> ≡ CO (2–1)/CO (1–0), <jats:italic>R</jats:italic> <jats:sub>32</jats:sub> ≡ CO (3–2)/CO (2–1), and <jats:italic>R</jats:italic> <jats:sub>31</jats:sub> ≡CO (3–2)/CO (1–0) using whole-disk CO maps of nearby galaxies. We draw CO (2–1) from PHANGS-ALMA, HERACLES, and follow-up IRAM surveys; CO (1–0) from COMING and the Nobeyama CO Atlas of Nearby Spiral Galaxies; and CO (3–2) from the James Clerk Maxwell Telescope Nearby Galaxy Legacy Survey and Atacama Pathfinder Experiment Large APEX Sub-Millimetre Array mapping. All together, this yields 76, 47, and 29 maps of <jats:italic>R</jats:italic> <jats:sub>21</jats:sub>, <jats:italic>R</jats:italic> <jats:sub>32</jats:sub>, and <jats:italic>R</jats:italic> <jats:sub>31</jats:sub> at 20″ ∼ 1.3 kpc resolution, covering 43, 34, and 20 galaxies. Disk galaxies with high stellar mass, <jats:inline-formula> <jats:tex-math> <?CDATA $\mathrm{log}({M}_{\star }/{M}_{\odot })=10.25\mbox{--}11$?> </jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>log</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:msub> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>⋆</mml:mo> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo stretchy="true">/</mml:mo> </mml:mrow> <mml:msub> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>⊙</mml:mo> </mml:mrow> </mml:msub> <mml:mo stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:mn>10.25</mml:mn> <mml:mo>–</mml:mo> <mml:mn>11</mml:mn> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjac3490ieqn1.gif" xlink:type="simple" /> </jats:inline-formula>, and star formation rate (SFR) = 1–5 <jats:italic>M</jats:italic> <jats:sub>⊙</jats:sub> yr<jats:sup>−1</jats:sup>, dominate the sample. We find galaxy-integrated mean values and a 16%–84% range of <jats:italic>R</jats:italic> <jats:sub>21</jats:sub> = 0.65 (0.50–0.83), <jats:italic>R</jats:italic> <jats:sub>32</jats:sub> = 0.50 (0.23–0.59), and <jats:italic>R</jats:italic> <jats:sub>31</jats:sub> = 0.31 (0.20–0.42). We identify weak trends relating galaxy-integrated line ratios to properties expected to correlate with excitation, including SFR/<jats:italic>M</jats:italic> <jats:sub>⋆</jats:sub> and SFR/<jats:italic>L</jats:italic> <jats:sub>CO</jats:sub>. Within galaxies, we measure central enhancements with respect to the galaxy-averaged value of ∼<jats:inline-formula> <jats:tex-math> <?CDATA ${0.18}_{-0.14}^{+0.09}$?> </jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mn>0.18</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.14</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.09</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjac3490ieqn2.gif" xlink:type="simple" /> </jats:inline-formula> dex for <jats:italic>R</jats:italic> <jats:sub>21</jats:sub>, <jats:inline-formula> <jats:tex-math> <?CDATA ${0.27}_{-0.15}^{+0.13}$?> </jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mn>0.27</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.15</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.13</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjac3490ieqn3.gif" xlink:type="simple" /> </jats:inline-formula> dex for <jats:italic>R</jats:italic> <jats:sub>31</jats:sub>, and <jats:inline-formula> <jats:tex-math> <?CDATA ${0.08}_{-0.09}^{+0.11}$?> </jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mn>0.08</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.09</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.11</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjac3490ieqn4.gif" xlink:type="simple" /> </jats:inline-formula> dex for <jats:italic>R</jats:italic> <jats:sub>32</jats:sub>. All three line ratios anticorrelate with galactocentric radius and positively correlate with the local SFR surface density and specific SFR, and we provide approximate fits to these relations. The observed ratios can be reasonably reproduced by models with low temperature, moderate opacity, and moderate densities, in good agreement with expectations for the cold interstellar medium. Because the line ratios are expected to anticorrelate with the CO (1–0)-to-H<jats:sub>2</jats:sub> conversion factor, <jats:inline-formula> <jats:tex-math> <?CDATA ${\alpha }_{\mathrm{CO}}^{1-0}$?> </jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>α</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>CO</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>−</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="apjac3490ieqn5.gif" xlink:type="simple" /> </jats:inline-formula>, these results have general implications for the interpretation of CO emission from galaxies.</jats:p>