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Table A.2

Definition of each notation used in the paper.

Quantity Notation Meaning

Surface area Area where the H13CO+ or H13CN emission has been detected.
Area above AV = 8 according to the Herschel column density map in each observed cloud

Cloud radius Equivalent radius of the area where H13CO+ or H13CN emission has been detected in each cloud.
Equivalent radius of the area above AV = 8 in each observed cloud (according to the Herschel column density map).

Velocity width dVFWHM FWHM velocity width at each pixel
FWHM velocity width estimated from the spectrum averaged over the area where H13CO+ or H13CN emission has been detected.
Scaled FWHM velocity width using

Mass Virial mass of the portion of each cloud where H13CO+ or H13CN emission has been detected.
Virial mass of the region above AV = 8 in each observed cloud.
Dense gas mass estimated from the Herschel column density map of the area where H13CO+ or H13CN emission has been detected.
Dense gas mass estimated from the Herschel column density map for the area above AV = 8 in each observed cloud.
M dense,mol Dense gas mass estimated from molecular luminosity conversion factor (Lmol).

Virial ratio Virial mass ratio of the portion of the cloud where the H13CO+ or H13CN emission has been detected .
Virial mass ratio of the region above AV = 8 in each observed cloud .

Star-formation rate SFR YSO Star formation rate estimated from the number count of YSOs.
SFR prestellar Star formation rate estimated from the number count of prestellar cores.

HCN conversion factor α HCN Conversion factor from HCN(1–0) luminosity to dense gas mass.
α Herschel − HCN Empirical αHCN factor derived for the target nearby clouds using Herschel mass estimates as references (/LHCN).
αHCN conversion factor obtained from the relation .
αHCN conversion factor obtained from the relation .
α GS04 − HCN αHCN conversion factor assumed in Gao & Solomon (2004a).
α Wu05 − HCN αHCN conversion factor obtained in Wu et al. (2005).
α GB12 − HCN αHCN conversion factor obtained in García-Burillo et al. (2012).
α Usero − HCN αHCN conversion factor obtained in Usero et al. (2015).

HCO+ conversion factor α Herschel − HCO+ αHCO+ conversion factor obtained toward each observed sub region in the present study (/LHCO+).
αHCO+ conversion factor obtained by the relation .

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