Table 3
H2O transitions selected for this study.
| Molecule | Transition | λ0 (μm) | Eu (cm-1) | n | n inc |
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| o-H2O | JKa,Kc = 22,1−21,2 | 180.5 | 134.9 | 11 | 11 | –5.9 | 0.3 | –0.9 | 0.4 | 0.12 | –2.1 | 0.7 | –0.25 | 0.12 | 0.08 |
| JKa,Kc = 21,2−10,1 | 179.5 | 79.5 | 18 | 14 | –5.51 | 0.07 | –0.8 | 0.2 | 0.012 | –2.2 | 0.6 | –0.38 | 0.11 | 0.06 | |
| JKa,Kc = 30,3−21,2 | 174.6 | 136.8 | 12 | 9 | –5.70 | 0.13 | –0.8 | 0.3 | 0.03 | –2.8 | 0.8 | –0.45 | 0.16 | 0.13 | |
| JKa,Kc = 22,1−11,0 | 108.1 | 134.9 | 17 | 13 | –5.42 | 0.06 | –0.7 | 0.2 | 0.004 | –2.1 | 0.7 | –0.38 | 0.12 | 0.08 | |
| JKa,Kc = 70,7−61,6 | 72.0 | 586.2 | 13 | 12 | –5.59 | 0.09 | –0.7 | 0.2 | 0.017 | –2.5 | 0.7 | –0.41 | 0.14 | 0.10 | |
| JKa,Kc = 33,0−22,1 | 66.4 | 285.4 | 15 | 12 | –5.32 | 0.06 | –0.8 | 0.3 | –0.005 | –1.3 | 0.6 | –0.26 | 0.11 | 0.06 | |
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| p-H2O | JKa,Kc = 41,3−32,2 | 144.5 | 275.5 | 8 | 8 | –5.9 | 0.3 | –0.5 | 0.3 | 0.09 | –2.8 | 1.2 | –0.3 | 0.2 | 0.3 |
| JKa,Kc = 31,3−20,2 | 138.5 | 142.3 | 17 | 13 | –5.68 | 0.11 | –0.9 | 0.2 | 0.02 | –2.5 | 0.6 | –0.39 | 0.12 | 0.07 | |
| JKa,Kc = 32,2−21,1 | 90.0 | 206.3 | 15 | 14 | –5.60 | 0.11 | –0.5 | 0.2 | 0.02 | –2.3 | 0.8 | –0.34 | 0.15 | 0.12 | |
| JKa,Kc = 71,7−60,6 | 71.5 | 586.4 | 8 | 7 | –5.7 | 0.2 | –0.7 | 0.4 | 0.08 | –2.3 | 1.0 | –0.33 | 0.19 | 0.19 | |
Notes. Given are the central wavelength (λ0), upper-level energy, (Eu) and number of targets with a detection (n) of the emission line. Also given for each transition are the empirical fitting results of the linear correlation 
between the H2O/CO line-strength ratio and the mass-loss rate. ninc = n−nSRb gives the number of detections included in the fit, and the mean coefficients, and the fitting uncertainties on both coefficients, and the covariance between the two. The middle five columns assume the logarithm of the line-strength ratio as the independent variable (X) and the logarithm of the mass-loss rate as the variable (Y), while the last five columns give the results for the inverse relation. The trends are valid for the subsample of Miras and SRa sources only; see Sect. 3.2.
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