Abstract

Abstract Dusty star-forming galaxies at high redshift (1 < z < 3) represent the most intense star-forming regions in the universe. Key aspects to these processes are the gas heating and cooling mechanisms, and although it is well known that these galaxies are gas-rich, little is known about the gas excitation conditions. Only a few detailed radiative transfer studies have been carried out owing to a lack of multiple line detections per galaxy. Here we examine these processes in a sample of 24 strongly lensed star-forming galaxies identified by the Planck satellite (LPs) at z ∼ 1.1–3.5. We analyze 162 CO rotational transitions (ranging from J up = 1 to 12) and 37 atomic carbon fine-structure lines ([C i]) in order to characterize the physical conditions of the gas in the sample of LPs. We simultaneously fit the CO and [C i] lines and the dust continuum emission, using two different non-LTE, radiative transfer models. The first model represents a two-component gas density, while the second assumes a turbulence-driven lognormal gas density distribution. These LPs are among the most gas-rich, IR-luminous galaxies ever observed (μ L L IR ( 8 − 1000 μ m ) ∼ 10 13 − 14.6 L ⊙; 〈 μ L M ISM 〉 = (2.7 ± 1.2) × 1012 M ⊙, with μ L ∼ 10–30 the average lens magnification factor). Our results suggest that the turbulent interstellar medium present in the LPs can be well characterized by a high turbulent velocity dispersion ( 〈 ΔV turb 〉 ∼ 100 km s−1) and ratios of gas kinetic temperature to dust temperature 〈 T kin/T d 〉 ∼ 2.5, sustained on scales larger than a few kiloparsecs. We speculate that the average surface density of the molecular gas mass and IR luminosity, Σ M ISM ∼ 103–4 M ⊙ pc−2 and Σ L IR ∼ 1011–12 L ⊙ kpc−2, arise from both stellar mechanical feedback and a steady momentum injection from the accretion of intergalactic gas.

Highlights

  • Star-forming galaxies at redshifts z ∼ 1 − 3 probe the cosmic epoch when most of the stellar mass assembly in the Universe took place (Madau & Dickinson 2014, and references therein)

  • The mean value of [CI]/H2 we find for the all-sky sub/mm Planck satellite (the LPs) is comparable to previous estimates by local/high-z studies, typically this has been achieved via the inferred H2 mass from single Carbon Monoxide (CO) transitions (Weiß et al 2005a; Walter et al 2011; Valentino et al 2020a)

  • Within the denser molecular gas phase we model in this work, we expect that collisional excitations between molecules is believed to play a stronger role as a gas heating term, as opposed to FUV heating from photodissociation regions (PDR) which lie between the HII regions and the cold molecular gas (Tielens & Hollenbach 1985)

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Summary

Introduction

Star-forming galaxies at redshifts z ∼ 1 − 3 probe the cosmic epoch when most of the stellar mass assembly in the Universe took place (Madau & Dickinson 2014, and references therein). Less than 5% of the galaxy population has a star formation rate (SFR) that is significantly higher than the empirical main-sequence for star-forming galaxies, i.e. the tight correlation (∼0.3 dex) between the SFR and stellar mass, M (Brinchmann et al 2004; Noeske et al 2007; Elbaz et al 2007, 2011; Rodighiero et al 2011; Goto et al 2011; Sargent et al 2012; Whitaker et al 2012, 2014; Salmon et al 2015) These often-called starburst galaxies, with an infrared (IR) luminosity LIR ∼ 0.1 − 5 × 1012 L (e.g. Sanders & Mirabel 1996; Downes & Solomon 1998), become increasingly more common at high-z. Rest-frame far-infrared (FIR) measurements of spectral lines and thermal dust continuum emission have been used to investigate the cooling and heating processes of the interstellar medium (ISM) in star-forming galaxies, the physical conditions at high-z is still, in general, poorly investigated (Popesso et al 2012; Bothwell et al 2013; Carilli & Walter 2013; Genzel et al 2013; Yang et al 2017; Tacconi et al 2018, 2020; Lenkic et al 2020; Aravena et al 2020; Birkin et al 2020; Boogaard et al 2020)

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