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Table 3.

Statistical parameters of the KS diagram across the merger sequence for clumps and beam-sized regions.

Merger Clumps Beam-sized regions
stages ρs log 10 Σ H 2 M ⊙ pc − 2 Mathematical equation: $ _{10}\frac{\Sigma_\mathrm{{H2}}}{M_{\odot}\,\rm{pc}^{-2}} $ log 10 Σ SFR M ⊙ yr − 1 kpc − 2 Mathematical equation: $ _{10}\frac{\Sigma_\mathrm{{SFR}}}{M_{\odot}\rm{yr}^{-1}\,\rm{kpc}^{-2}} $ Slope ρs log 10 Σ H 2 M ⊙ pc − 2 Mathematical equation: $ _{10}\frac{\Sigma_\mathrm{{H2}}}{M_{\odot}\,\rm{pc}^{-2}} $ log 10 Σ SFR M ⊙ yr − 1 kpc − 2 Mathematical equation: $ _{10}\frac{\Sigma_\mathrm{{SFR}}}{M_{\odot}\,\rm{yr}^{-1}\,\rm{kpc}^{-2}} $ Slope
Isolated 0.79 2.89 ± 0.38 0.25 ± 0.43 1.01 ± 0.05 0.70 3.33 ± 0.37 0.64 ± 0.47 0.92 ± 0.03
Pairs 0.73 2.64 ± 0.34 −0.03 ± 0.32 0.78 ± 0.06 0.73 2.85 ± 0.27 0.22 ± 0.35 1.05 ± 0.04
Early-stage 0.46 2.73 ± 0.24 0.11 ± 0.49 1.78 ± 0.08 0.64 3.20 ± 0.31 0.51 ± 0.52 1.09 ± 0.03
Mid-stage 0.64 2.93 ± 0.34 0.22 ± 0.59 1.79 ± 0.17 0.69 3.23 ± 0.33 0.33 ± 0.55 1.08 ± 0.04
Late-stage 0.84 3.62 ± 0.41 1.05 ± 0.76 1.48 ± 0.09 0.85 3.57 ± 0.45 0.94 ± 0.65 1.05 ± 0.02

Notes. For each merger stage (isolated galaxies, galaxy pairs, early-stage mergers, mid-stage mergers, and late-stage mergers), the table lists the Spearman’s rank correlation coefficient ρsp (two-sided p-values), the mean and error bars (from the mean absolute deviation) of log10ΣH2 [M⊙ pc−2] and log10ΣSFR [M⊙ yr−1 kpc−2], and the best-fit power-law indices. The slope of the KS law, when using clump identification, becomes super-linear in early and more advanced stage mergers, indicating larger star formation efficiencies at higher gas surface densities.

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