xGASS: characterizing the slope and scatter of the stellar mass - angular momentum relation for nearby galaxies
Jennifer A. Hardwick, Luca Cortese, Danail Obreschkow, Barbara, Catinella, Robin H. W. Cook

TL;DR
This study analyzes the stellar mass and angular momentum relation in nearby galaxies, revealing how galaxy type and properties influence the relation's slope and scatter, with implications for galaxy formation models.
Contribution
It provides a detailed characterization of the Fall relation across galaxy types, highlighting the impact of morphology and gas fraction on the relation's slope and scatter.
Findings
The slope of the Fall relation is ~2/3 at fixed morphology.
When combining all galaxy types, the slope is ~0.47.
H{ extsc i} gas fraction strongly correlates with scatter at low masses.
Abstract
We present a detailed study of the stellar mass vs. specific angular momentum (AM) relation (Fall relation) for a representative sample of 564 nearby galaxies in the eXtended GALEX Arecibo SDSS Survey (xGASS). We focus on the dependence of the Fall relation's slope on galaxy type and the galaxy properties regulating its scatter. Stellar specific AM is determined by combining single-dish H{\sc i} velocity widths and stellar mass profiles for all H{\sc i} detections in the xGASS sample. At fixed morphology (or bulge-to-total ratio), we find that the power law slope of the Fall relation is consistent with 2/3. However, when all galaxy types are combined, we recover a much shallower slope of 0.47. We show that this is a consequence of the change in galaxy morphology as a function of mass, highlighting that caution should be taken when using the slope of the Fall relation to constrain…
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