L'CO/LFIR Relations with CO Rotational Ladders of Galaxies Across the Herschel SPIRE Archive
J. Kamenetzky, N. Rangwala, J. Glenn, P. R. Maloney, A. Conley

TL;DR
This study analyzes the relationships between far-infrared luminosity and CO line emissions across multiple rotational transitions in galaxies, introducing a new method for spectral analysis and highlighting the complexity of molecular gas excitation.
Contribution
It provides a comprehensive catalog of CO and [CI], [NII] lines from Herschel SPIRE data, and develops a novel PDF estimation method accounting for spectral correlations.
Findings
Linear correlation between LFIR and L'CO for mid- to high-J lines.
Mid- to high-J CO luminosity ratios increase with LFIR, indicating higher gas excitation.
Single PDR models cannot fully explain observed SLED shapes, suggesting complex excitation mechanisms.
Abstract
We present a catalog of all CO (J=4-3 through J=13-12)), [CI], [NII] lines available from extragalactic spectra from the Herschel SPIRE Fourier Transform Spectrometer (FTS) archive combined with observations of the low-J CO lines from the literature and from the Arizona Radio Observatory. This work examines the relationships between LFIR, L'CO, and LCO/LCO(1-0). We also present a new method for estimating probability distribution functions (PDFs) from marginal signal-to-noise ratio Herschel} FTS spectra, which takes into account the instrumental "ringing" and the resulting highly correlated nature of the spectra. The slopes of log(LFIR) vs. log(L'CO) are linear for all mid- to high-J CO lines and slightly sublinear if restricted to (U)LIRGs. The mid- to high-J CO luminosity relative to CO J=1-0 increases with increasing LFIR, indicating higher excitement of the molecular gas, though…
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