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Scientific Report 2007-2009<br />
Astronomy & Astrophysics<br />
A1. Structure and Evolution of Galaxies<br />
This research is focused on the formation and evolution<br />
of spheroidal and largely-populated star systems,<br />
such as globular clusters and first-type elliptical galaxies,<br />
which cannot usually be ”resolved” into individual<br />
objects. For elliptical galaxies the issues concern the progressive<br />
metal enrichment (owing to stellar nucleosynthesis<br />
and supernovae explosions) and the spatial distribution<br />
of the stellar populations, that were being formed in<br />
time (with corresponding increasing metallicities). The<br />
topic is relevant to the population synthesis, which consists<br />
in computing the integrated brightness, spectrum<br />
and colours, and allows the comparison of models with<br />
observational data. Observations are obtained through<br />
rectangular slits or concentric circular apertures. They<br />
can produce projected (on the disk image of a galaxy)<br />
radial profiles of photometric and spectral indices.<br />
Information on the dynamical evolution of the stars in<br />
the various populations is not available in the literature<br />
at the levels needed to achieve an adequate comparison<br />
with observations, because of limits in the theoretical<br />
approach and difficulties in the numerical treatment. In<br />
order to reach a satisfactory spectro-photometric synthesis<br />
and compare the computed surface radial gradients<br />
with the observed profiles it is essential to account for the<br />
different galactic locations of the stars formed at different<br />
ages and with different metallicities and, hence, with<br />
differences in colours and spectra, Indeed, these data are<br />
produced by the cumulative contributions of all the stars<br />
of the galaxy located along the line of sight intersecting<br />
the disk at any specified projected radial distance.<br />
Angeletti and Giannone (2003, 2008, 2010a, 2010b)<br />
bypassed the lack of information on the stellar dynamics<br />
by modelling the spatial radial distribution of the<br />
galactic mass, as deduced from the observed surface<br />
brightness, and the stellar metallicity, as derived from<br />
the central progressive concentration of the star forming<br />
gas. The strategy consisted in relating the stellar metal<br />
abundances to the stellar binding energies and angular<br />
momenta, in the scheme of a dissipative contraction of<br />
the proto-galactic gas accompanied by the simultaneous<br />
formation of stars with the metal abundances equal to<br />
that of the ambient gas at the time of the star formation.<br />
The approach combined a set of different schemes,<br />
in particular the ”Concentration model” (CM) and the<br />
”Best Accretion Model” (BAM) by Lynden-Bell (1975),<br />
and the ”Simple model” (SM) by Pagel and Patchett<br />
(1975). Models with a large set of choices for the free<br />
parameters (the exponent of the R 1/n law for the radial<br />
surface brightness, the concentration index c, the<br />
metal yield p , and the amount of the accreted mass<br />
M) have been computed. The results have been then<br />
compared with the observations of four spectroscopic indices<br />
(Mg 1 , Mg 2 , < F e >, Hβ) by Davies et al. (1993)<br />
and two photometric indices (B − R C ) and (U − R C ) by<br />
Peletier et al. (1990) for a sample of eleven galaxies.<br />
Figure 1: The distributions of the stellar metal abundances<br />
for the elliptical galaxy NGC 4278 from the CM+BAM (with<br />
n = 4, c = 0.70, p = 1.0Z sun, M = 3) along the lines of sight<br />
through the projected radii Re B , 0.5Re B , and 0.1Re B , from left<br />
to right (solid curves). The dashed curve gives the distribution<br />
within the circular aperture with projected radius 0.5Re B ,<br />
and the lowest solid curve the distribution integrated on the<br />
whole galaxy. The numbers of the stars are normalized to<br />
1. In the inset, the model radial profile of Mg 2 is compared<br />
to the observations (dots; those on the right of the cross are<br />
unaffected by the seeing). The radius R is in unit of the<br />
effective radius Re<br />
B = 32 ′′ .9 in the Johnson B band.<br />
The inset in Figure 1 shows how the observational<br />
data for index Mg 2 for the elliptical galaxy NGC 4278<br />
are fitted by the model. In the figure the spatial (in the<br />
galaxy) radial distribution of the metal abundances Z<br />
is plotted for three surface radial distances, a circular<br />
aperture concentric to the galaxy image, and the<br />
whole galaxy. The best agreement of the models with<br />
the observational data of the studied galaxy sample<br />
indicates that the degrees of dissipation vary from<br />
moderate to large, the mean stellar metallicities range<br />
from the solar value to significantly oversolar values,<br />
the masses of the accreted matter can be relevant, the<br />
dispersions of velocities are isotropic in the majority<br />
of the selected galaxies, and their ages are not in<br />
disagreement with the age of 13 billion years. This is<br />
the age of the oldest globular clusters in our galaxy (estimated<br />
to be the lowest limit to the age of the Universe).<br />
References<br />
1. L. Angeletti, et al., A.I.P. Conf.Proc. 1059, 103 (2008).<br />
Authors<br />
L. Angeletti, P. Giannone<br />
<strong>Sapienza</strong> Università di Roma 148 Dipartimento di Fisica