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Table 6

Best-fit RADEX parameters for NGC 1140.

ΔV χ2 τ Tkin Log(nH2) Log(N12CO) 12CO/13CO
(km s-1) 12CO(1–0) 12CO(2–1) 12CO(3–2) 12CO(4–3) 13CO(1–0) 13CO(2–1) (K) (cm-3) (cm-2)
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12)
Fit to intensities with exponential beam correction
10 0.94 0.02 0.06 0.06 0.04 0.002 0.006 17.3 7.4 15.6 8
− 0.94−1.93 0.02−0.04 0.05−0.10 0.06−0.10 0.04−0.06 0.002−0.004 0.005−0.010 16.1−18.7 4.9−8.0 15.6−15.8 8−10
20 0.93 0.02 0.05 0.05 0.03 0.002 0.005 16.7 7.5 15.8 8
− 0.93−1.93 0.01−0.05 0.03−0.13 0.03−0.13 0.02−0.08 0.001−0.005 0.003−0.012 16.1−19.4 4.9−8.0 15.6−16.2 8−10
Fit to intensities with Gaussian beam correctiona
10 0.95 0.02 0.06 0.06 0.04 0.002 0.005 18.0 7.1 15.6 10
− 0.95−1.95 0.01−0.06 0.05−0.15 0.06−0.16 0.04−0.10 0.001−0.005 0.004−0.014 16.1−26.3 4.3−8.0 15.6−16.0 8−10
20 0.85 0.01 0.03 0.03 0.02 0.001 0.003 17.3 5.9 15.6 10
− 0.85−1.85 0.01−0.05 0.03−0.13 0.03−0.13 0.02−0.08 0.001−0.005 0.002−0.012 16.1−24.4 4.5−8.0 15.6−16.2 8−10
Fit to “Set 1” line ratiosb with exponential beam correction
10 0.39 0.09 0.23 0.24 0.14 0.009 0.022 17.3 7.9 16.2 10
− 0.39−1.39 0.00−0.24 0.00−0.72 0.00−1.01 0.00−0.75 0.000−0.022 0.000−0.068 15.5−44.5 4.0−8.0 14.0−16.8 8−10
20 0.38 0.07 0.18 0.19 0.11 0.007 0.017 17.3 7.5 16.4 10
− 0.38−1.37 0.00−0.23 0.00−0.63 0.00−0.85 0.00−0.58 0.000−0.021 0.000−0.060 15.5−41.3 4.0−8.0 14.0−17.0 8−14
Fit to “Set 1” line ratiosb with Gaussian beam correctionc
10 0.44 0.09 0.23 0.24 0.14 0.009 0.022 17.3 7.1 16.2 10
− 0.44−1.44 0.00−0.33 0.00−0.85 0.00−1.03 0.00−0.75 0.000−0.030 0.000−0.080 15.5−44.5 4.0−8.0 14.0−16.8 8−10
20 0.43 0.12 0.29 0.30 0.18 0.011 0.028 17.3 6.9 16.6 10
− 0.43−1.43 0.00−0.29 0.00−0.74 0.00−0.85 0.00−0.59 0.000−0.027 0.000−0.070 15.5−44.5 4.0−8.0 14.0−17.0 8−14
Fit to “other” sets of line ratiosb with exponential beam correction
10 0.85 0.06 0.15 0.15 0.09 0.005 0.014 17.3 7.8 16.0 10
− 0.85−1.84 0.00−0.27 0.00−0.91 0.00−1.40 0.00−1.20 0.000−0.016 0.000−0.056 16.1−44.5 4.0−8.0 14.0−17.0 8−20
20 0.83 0.05 0.12 0.12 0.07 0.004 0.011 17.3 8.0 16.2 10
− 0.83−1.83 0.00−0.24 0.00−0.64 0.00−0.78 0.00−0.56 0.000−0.014 0.000−0.038 16.1−27.3 4.3−8.0 14.0−17.0 8−20
ΔV χ 2 τ T kin Log(nH2) Log(N12CO) 12CO/C
(km s-1) 12CO(1–0) 12CO(2–1) 12CO(3–2) 12CO(4–3) [Ci](1–0) (K) (cm-3) (cm-2)
Fit to intensities with exponential beam correction
10 0.55 0.02 0.06 0.06 0.04 0.05 17.3 7.1 15.6 0.03
− 0.55−1.54 0.02−0.04 0.06−0.10 0.06−0.10 0.03−0.06 0.047−0.077 16.1−18.7 5.1−8.0 15.6−15.8 0.03−0.03
20 0.66 0.02 0.05 0.05 0.03 0.04 17.3 6.2 15.8 0.03
− 0.66−1.65 0.01−0.05 0.03−0.13 0.03−0.13 0.02−0.08 0.023−0.097 16.1−18.7 4.9−8.0 15.6−16.2 0.03−0.03
Fit to intensities with Gaussian beam correctiond
10 0.75 0.04 0.10 0.10 0.06 0.08 16.7 7.4 15.8 0.03
− 0.75−1.75 0.00−0.04 0.07−0.10 0.09−0.11 0.06−0.07 0.015−0.077 16.1−41.3 4.0−8.0 15.8−15.8 0.03−0.10
20 0.66 0.02 0.05 0.05 0.03 0.04 16.7 7.5 15.8 0.03
− 0.66−1.66 0.02−0.02 0.04−0.05 0.05−0.05 0.03−0.03 0.037−0.039 16.1−18.7 4.9−8.0 15.8−15.8 0.03−0.03
Fit to [Ci]/12CO ratios with exponential beam correction
10 0.03 0.19 0.67 0.93 0.70 0.30 26.3 4.5 16.8 0.06
− 0.03−1.03 0.00−0.94 0.00−2.86 0.00−4.32 0.00−4.25 0.000−1.927 16.1−44.5 4.0−8.0 14.0−17.6 0.03−0.16
20 0.03 0.10 0.68 1.14 0.94 0.20 38.3 4.1 17.2 0.10
− 0.03−1.03 0.00−0.97 0.00−2.89 0.00−3.88 0.00−3.64 0.000−1.546 16.1−44.5 4.0−8.0 14.0−17.8 0.03−0.16
Fit to [Ci]/12CO ratios with Gaussian beam correctione
10 0.01 0.34 1.09 1.43 1.08 0.48 24.4 4.6 17.0 0.05
− 0.01−1.01 0.00−1.19 0.00−3.88 0.00−6.06 0.00−6.40 0.000−1.927 15.5−44.5 4.0−8.0 14.0−17.8 0.03−0.25
20 0.01 0.24 1.10 1.70 1.46 0.34 32.9 4.2 17.4 0.10
− 0.01−1.01 0.00−1.22 0.00−3.93 0.00−6.09 0.00−6.58 0.000−1.537 15.5−44.5 4.0−8.0 14.0−18.2 0.03−0.25

Notes. The parameter ranges given in the second line for all sets of fits correspond to the full range found over the range in χ2 from to i.e., marginalizing over the full range of posteriors.

(a)

The intensity model gives a best-fit Gaussian FWHM θs = 31′′ (ΔV = 10 km s-1), and θs = 29′′ (ΔV = 20 km s-1).

(b)

“Set 1” was taken with the ratios relative to the adjacent lower-J line: [12CO(2–1)/12CO(1–0), 12CO(3–2)/12CO(2–1), 12CO(4–3)/12CO(3–2), 13CO(1–0)/12CO(1–0), 13CO(2–1)/13CO(1–0)]. The “other” sets of line ratios with various J transitions in the numerators/denominators give virtually identical results so we report here only a representative example with [12CO(2–1)/12CO(1–0), 12CO(3–2)/12CO(1–0), 12CO(4–3)/12CO(1–0), 13CO(2–1)/13CO(1–0), 12CO(2–1)/13CO(2–1)].

(c)

The Set 1 line ratio models give a best-fit Gaussian FWHM θs = 27′′ (ΔV = 10 km s-1), and θs = 26′′ (ΔV = 20 km s-1).

(d)

The [Ci](1–0) line ratio models give a best-fit Gaussian FWHM θs = 26′′ (ΔV = 10 km s-1), and θs = 27′′ (ΔV = 20 km s-1).

(e)

The [Ci](1–0) line ratio models give a best-fit Gaussian FWHM θs = 23′′ (ΔV = 10 km s-1), and θs = 24′′ (ΔV = 20 km s-1).

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