Abundance ratios in red-sequence galaxies over a wide mass range: The "X-planes" for magnesium, calcium, carbon and nitrogen

TL;DR

This study investigates how light element abundance ratios relative to iron vary across a wide range of galaxy masses, revealing complex multi-parameter relations that suggest multiple physical processes influence chemical enrichment.

Contribution

It introduces the concept of 'X-planes'—two-parameter relations—that better describe abundance patterns than traditional single-parameter models, uncovering new structure in galaxy chemical evolution.

Findings

Abundance ratios can be modeled with two-parameter relations involving velocity dispersion and Fe/H.

X-planes reduce scatter in abundance pattern correlations compared to traditional models.

Different elements show distinct dependence patterns, indicating multiple physical processes affect chemical enrichment.

Abstract

We analyse the abundance ratios of the light elements Mg, Ca, C and N, relative to Fe, for 147 red-sequence galaxies in the Coma cluster and the Shapley Supercluster. The sample covers a six-magnitude range in luminosity, from giant ellipticals to dwarfs at M^*+4. We exploit the wide mass range to investigate systematic trends in the abundance ratios Mg/Fe, Ca/Fe, C/Fe and N/Fe. We find that each of these ratios can be well modelled using two-parameter relations of the form [X/Fe] = a0 + a1 log sigma + a2 [Fe/H], where sigma is the velocity dispersion. Analysing these "X-planes" reveals new structure in the abundance patterns, beyond the traditional one-parameter (e.g. Mg/Fe-sigma) correlations. The X-planes for the alpha elements, Mg and Ca, indicate a positive correlation with velocity dispersion, and simultaneously an anti-correlation with Fe/H (i.e. a1>0 and a2<0). Taking both effects into account dramatically reduces the scatter, compared to the traditional X/Fe-sigma relations. For C and N, a similar correlation with velocity dispersion is recovered, but there is no additional dependence on Fe/H (i.e. a1>0 and a2~0). The explicit dependence of X/Fe on two parameters is evidence that at least two physical processes are at work in setting the abundance patterns. The Fe/H dependence of Mg/Fe and Ca/Fe, at fixed sigma, may result from different durations of star formation, from galaxy to galaxy. The absence of corresponding Fe/H dependence for C and N is consistent with these elements being generated in lower-mass stars. The increase with sigma, at fixed Fe/H, is similar for elements Mg, C and N, and slightly shallower for Ca. This pattern of trends cannot be explained solely by a systematic variation of star-formation time-scale with sigma.