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Table 3

Model HCN 3–2 luminosities – self-gravitating cloud.

n X R ΔV N(HCN) L

[cm-3 ] [pc] [km s-1] [cm-2] [K km s-1 pc2]

1. 3 × 103 10-6 0.25 0.4 5 × 1015 0.95
2. 104 10-6 0.17 0.5 1016 1.2
3. 105 10-8 0.08 0.7 5 × 1014 0.25

Notes. We are considering simple self-gravitating clouds where Mvir = (RV)2/G (virial mass Mvir, radius R and line width ΔV). We assume Mvir = 10 M and temperature Tk = 50 K for every cloud. For model 1. N(H2) = 2.5 × 1021 cm-2, for 2. N(H2) = 1022 cm-2, and for 3. N(H2) = 5 × 1022 cm-2. X is the HCN abundance relative to H2, N(HCN) the HCN column density and L is the HCN 32 luminosity: πR2I(HCN) πR2TB(HCN)1.06ΔV. The model clouds fulfil: HCN 32/10 = 0.3 to 0.4 and CO/HCN 10 = 1 to 3. The three HCN 10 hyperfine structures are summed in the intensity of the HCN 10 line since the inferred line width per model cloud is smaller than the velocity separation between the hyperfine structures. (We do not account for the radiative transfer effects in the ensemble of clouds which would lower the resulting HCN 1–0 intensity in relation to HCN 3–2 and CO 1–0). CO/HCN 1–0 ratios of unity are allowed to account for the possibility that not all of the CO flux is emerging from these HCN-emitting clouds.

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