A 260 pc resolution ALMA map of HCN(1–0) in the galaxy NGC 4321

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Volume 691 (November 2024)

A&A, 691 (2024) A121

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Table 4.

HCN/CO(2 − 1) and SFR/HCN correlations.

x-axis	y-axis	Regime	Slope (stacks)	Slope (los)	Corr. (p)	Scatter
r_gal	HCN/CO(2 − 1)	≤2.0 kpc	−0.38	−0.26 (0.02)	−0.86 (0.0)	0.14
		> 2.0 kpc	0.00	0.00 (0.01)	−0.03 (0.306)	0.23
	SFR_Hα/HCN	≤2.8 kpc	0.34	0.22 (0.06)	0.32 (0.0)	0.41
		> 2.8 kpc	0.08	0.08 (0.01)	0.41 (0.0)	0.38

⟨P_DE⟩	HCN/CO(2 − 1)	$\leq 4.0 \times 10^{5} k_{B} K {cm}^{- 3}$ ${\leq} 4.0 \times 10^{5}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$	0.18	0.23 (0.02)	0.47 (0.0)	0.24
		$> 4.0 \times 10^{5} k_{B} K {cm}^{- 3}$ ${ > } 4.0 \times 10^{5}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$	0.42	0.40 (0.03)	0.64 (0.0)	0.16
	SFR_Hα/HCN	$\leq 1.6 \times 10^{6} k_{B} K {cm}^{- 3}$ ${\leq} 1.6 \times 10^{6}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$	−0.32	−0.53 (0.04)	−0.47 (0.0)	0.54
		$> 1.6 \times 10^{6} k_{B} K {cm}^{- 3}$ ${ > }1.6 \times 10^{6}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$	−0.89	−0.70 (0.22)	−0.39 (0.003)	0.39

Notes. Linear regression parameters for the respective relations and x-axis regimes presented in Fig. 6. The forth column is showing the slopes obtained from the multivariate adaptive regression spline (MARS) method, producing a continuous piece-wise linear regression. Columns five to seven show the linear regression parameters obtained from the individual sight-line measurements, taking into account all data in the respective regime, using the linear regression tool LinMix. ‘Corr.’ is the Pearson correlation coefficient of sight-line data and ‘p’ is the associated p-value. The scatter denotes the 3σ standard deviation of the detected sight-line data about the fit line. The cloud-scale pressure thresholds correspond to 260 pc-scale beam-matched values of $P_{DE} \approx 1.5 \times 10^{5} k_{B} K {cm}^{- 3}$ ${P_{\text{ DE}}}\approx 1.5 \times 10^{5}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$ and $P_{DE} = 6.3 \times 10^{5} k_{B} K {cm}^{- 3}$ ${P_{\text{ DE}}}= 6.3 \times 10^{5}\,k_{\mathrm{B}}\,\mathrm{K}\,\mathrm{cm}^{-3}$ , respectively.

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