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Table 2

Comparison to observed CO, HCN(1–0), and HCO+(1–0) data.

Galaxy sample CO HCN(1–0) HCN(1–0) GS04a HCN(1–0) GC08b HCO+(1–0)

Preferred model

local spirals 0.86 ± 0.31 1.72 ± 0.49 1.13 ± 0.26
ULIRGs 0.75 ± 0.37 0.67 ± 0.22 0.36 ± 0.15 0.51 ± 0.13 0.89 ± 0.30
smm-galaxies 0.67 ± 0.20 0.37 ± 0.06 0.69 ± 0.14
high-z star-forming galaxies 0.72 ± 0.39 0.18 ± 0.03 0.27 ± 0.06

Constant abundances

local spirals 1.23 ± 0.38 0.86 ± 0.24 0.56 ± 0.12
ULIRGs 0.75 ± 0.36 0.32 ± 0.10 0.18 ± 0.09 0.25 ± 0.08 0.37 ± 0.12
smm-galaxies 0.63 ± 0.19 0.20 ± 0.05 0.37 ± 0.09
high-z star-forming galaxies 0.73 ± 0.36 0.21 ± 0.07 0.30 ± 0.07

Q = 1

ULIRGs 0.55 ± 0.33 0.61 ± 0.17 0.33 ± 0.14 0.46 ± 0.11 0.91 ± 0.29
smm-galaxies 0.63 ± 0.25 0.23 ± 0.03 0.44 ± 0.08
high-z star-forming galaxies 0.74 ± 0.43 0.19 ± 0.04 0.27 ± 0.06

δ = 15

local spirals 1.09 ± 0.47 2.20 ± 1.04 1.43 ± 0.60
ULIRGs 0.67 ± 0.40 0.78 ± 0.20 0.40 ± 0.13 0.57 ± 0.09 1.13 ± 0.36
smm-galaxies 0.86 ± 0.33 0.37 ± 0.04 0.69 ± 0.08
high-z star-forming galaxies 0.74 ± 0.43 0.19 ± 0.04 0.27 ± 0.06

No cloud substructure

local spirals 1.16 ± 0.38 1.69 ± 0.49 1.10 ± 0.27
ULIRGs 0.94 ± 0.46 0.73 ± 0.25 0.38 ± 0.14 0.55 ± 0.13 1.01 ± 0.36
smm-galaxies 0.91 ± 0.30 0.39 ± 0.06 0.73 ± 0.15
high-z star-forming galaxies 0.93 ± 0.55 0.13 ± 0.04 0.19 ± 0.08

No CR heating

local spirals 0.85 ± 0.31 1.70 ± 0.48 1.12 ± 0.26
ULIRGs 0.75 ± 0.37 0.44 ± 0.20 0.22 ± 0.07 0.32 ± 0.08 0.80 ± 0.32
smm-galaxies 0.67 ± 0.20 0.36 ± 0.06 0.68 ± 0.14
high-z star-forming galaxies 0.47 ± 0.27 0.12 ± 0.02 0.17 ± 0.03

No HCN IR-pumping

local spirals 0.85 ± 0.31 1.70 ± 0.48 1.12 ± 0.26
ULIRGs 0.75 ± 0.37 0.61 ± 0.20 0.34 ± 0.16 0.47 ± 0.15 0.89 ± 0.30
smm-galaxies 0.67 ± 0.20 0.33 ± 0.03 0.63 ± 0.09
high-z star-forming galaxies 0.72 ± 0.39 0.16 ± 0.04 0.22 ± 0.05

Notes. Ratio between the model and observed line luminosities. Ratio between the model and observed line luminosities. Local spirals: CO(2–1); ULIRGs: CO(1–0); smm-galaxies: CO(3–2); high-z star-forming galaxies: CO(3–2).

(a)

With respect to the Gao & Solomon (2004) relation.

(b)

With respect to the Graciá-Carpio et al. (2008) relation.

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