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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

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