A new scenario of galaxy evolution under a universal IMF

In this paper, basic observational properties of elliptical galaxies such as the integrated spectra, the chemical abundances and the enhancement of $\alpha$-elements inferred from broad-band colors and line strength indices $Mg_2$ and $< Fe >$ (and their gradients), the color-magnitude relation, the UV fluxes, and the mass-luminosity ratios, are examined in the light of current theoretical interpretations, and attention is called on several points of internal contradiction. Indeed existing models for the formation and evolution of elliptical galaxies are not able to simultaneously account for all of the above observational features. We suggest that the new initial mass function (IMF) by Padoan et al. (1997), which depends on the temperature, density, and velocity dispersion of the medium in which stars are formed, may constitute a break-through in the difficulties in question. Models of elliptical galaxies incorporating the new IMF (varying with time and position inside a galaxy) are presented and discussed at some extent. As a result of the changing IMF, the enhancement of $\alpha$-elements and tilt of the Fundamental Plane are easily explained leaving unaltered the interpretation of the remaining properties under examination. Finally, some implications concerning the relative proportions of visible stars, collapsed remnants (baryonic dark matter), and gas left over by the star forming process are examined.