Аннотация
We make use of a semi-analytical model of galaxy formation to investigate the
origin of the observed correlation between a/Fe abundance ratios and stellar
mass in elliptical galaxies.We implement a new galaxy-wide stellar initial mass
function (Top Heavy Integrated Galaxy Initial Mass Function, TH-IGIMF) in the
semi-analytic model SAG and evaluate its impact on the chemical evolution of
galaxies. The SFR-dependence of the slope of the TH-IGIMF is found to be key to
reproducing the correct a/Fe-stellar mass relation. Massive galaxies reach
higher a/Fe abundance ratios because they are characterized by more top heavy
IMFs as a result of their higher SFR. As a consequence of our analysis, the
value of the minimum embedded star cluster mass, which is a free parameter
involved in the TH-IGIMF theory, is found to be as low as 5 solar masses. A
mild downsizing trend is present for galaxies generated assuming either a
universal IMF or a variable TH-IGIMF.We find that, regardless of galaxy mass,
older galaxies (with formation redshifts > 2) are formed in shorter time-scales
(< 2Gyr), thus achieving larger a/Fe values. Hence, the time-scale of galaxy
formation alone cannot explain the slope of the a/Fe-galaxy mass relation,
but is responsible for the big dispersion of a/Fe abundance ratios at fixed
stellar mass.
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