Table 6: Results of the escape probability analysis using the four observed line ratios 12CO 3-2/2-1, 12CO 2-1/1-0, 12CO/13CO 1-0, and 2-1. N(CO) is the total CO column density per 80'' beam. M is the total mass integrated over the beam and assuming an abundance ratio of [CO]/[H2] =  $8.5\times 10^{-5}$ (Frerking et al. 1982). $n_{\rm av}$ is the average density assuming that emission stems from a sphere with beam diameter.

$\Delta\alpha/\Delta\delta$
$\chi_{\rm min}^2$ $n_{\rm loc}$ $T_{\rm kin}$ N(CO)$/\Delta v$ N(CO) M $n_{\rm av}$
['', '']   [cm-3] [K] [1016 cm-2/km s-1] [1016 cm-2] [106 $M_{\odot}$] [cm-3]

M 83:
             
(0, 0) 1.7 3000. 15.0 3.2 15.79 65.16 0.42
(-80, -72) 3.5 3000. 12.5 3.2 7.58 31.29 0.20
(89, 38) 2.1 3000. 12.5 3.2 6.69 27.60 0.18
M 51:              
(0, 0) 3.6 30000. 12.5 3.2 17.41 484.67 0.18
(72, 84) 4.0 3000. 15.0 3.2 2.07 57.76 0.02
(-84, -84) 7.4 10000. 12.5 3.2 5.46 151.89 0.06


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