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Fig. 16

image

Constraining the Γmech, AV, n and G0 for starburst galaxies. In this figure we illustrate the procedure used to constrain those parameters for AV = 5 mag, the figures for the remaining AV are in Figs. C.7 and C.8. Each row corresponds to a certain line ratio, and each column corresponds to a certain α. The colours correspond to regions where the observed line ratio in each grid is within the observed range of Table 4. In the first row regions where HCN(1–0)/HNC(1–0) is between 1.5 and 4.0 is shaded in light blue. In the second row we include HCN(1–0)/HCO+(1–0). The regions which are within the observed line ratios for both HCN(1–0)/HCO+(1–0) and HCN(1–0)/HNC(1–0) are shaded in cyan. In the third row, we introduce HNC(1–0)/HCO+(1–0), the region satisfying all three line ratios is shaded in green. We notice that green regions exist for all values of α in the third row. Hence we can not constrain α so far. It is only when HCO+(4-3)/CO(1–0) is included, α is constrained to 0.1 (red region in the α = 0.1 column) in the last row. Although much smaller red regions are also visible for α = 0.05 and α = 0.25, the global minimum would be most likely around α = 0.1 region. In applying a similar procedure to grids corresponding to AV = 10 and 30 mag, we do not observe any red region.

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