Submillimeter H2O and H2O+emission in lensed ultra- and hyper-luminous infrared galaxies at z ~ 2–4

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Table 7

Parameters derived from far-infrared pumping model of H₂O.

Source	τ ₁₀₀	T _warm	N_H₂O/ΔV	N _H₂O
		(K)	(cm^-2 km^-1 s)	(cm^-2)


G09v1.97	1.8	45–55	(0.3–0.6) × 10¹⁵	(0.3–1.1) × 10¹⁷
G12v2.43	–	45–95	≳0.7 × 10¹⁵	≳0.7 × 10¹⁷
NCv1.143	7.2	45–55	(2.0–20) × 10¹⁵	(2.0–60) × 10¹⁷
NAv1.177	–	45–75	≳1.0 × 10¹⁵	≳1.0 × 10¹⁷
NBv1.78	2.5	45–75	≳0.6 × 10¹⁵	≳0.6 × 10¹⁷

Notes. τ₁₀₀ is derived from Eq. (2) with errors of a few units (see text), while T_warm and N_H₂O /ΔV are inferred from the H₂O excitation model. N_H₂O is calculated by taking a typical ΔV value range of 100–300 km s^-1 as suggested by G14.

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