We use a large set of high S/N, high resolution spectra of 19 stars wi
th -2.8 <[Fe/H]< 0 to study the abundances of neutron-rich elements in
metal-poor stars. Basic data (atmospheric parameters, iron abundances
, abundance indices, atomic and line parameters) are carefully examine
d both for the Sun and for the program stars, and extensive use is mad
e of comparisons with synthetic spectra. New analyses of solar abundan
ces of Sr, La, and Ce are presented; deduced abundances agree well wit
h meteoritic results. Our stellar abundances are briefly compared with
nucleosynthesis predictions. The main results are: 1. Those elements
whose solar abundances are mainly attributed to the s-process (e.g. Ba
and La) are overdeficient in extremely metal-poor stars ([Fe/H]< -2)
with respect to those elements whose solar abundances are mainly attri
buted to the r-process (e.g. Eu). We did not find any clear evidence f
or a plateau in abundance ratios like [Ba/Eu] at these low values of [
Fe/H]. 2. Eu itself begins to decline (with respect either to Fe or Mg
) in the most metal-poor stars, with perhaps a sharp drop in stars wit
h [Fe/H]< -2.5. If the r-process mainly occurs in SN explosions of mas
sive stars, then the abundances of its products in the ejecta are a fu
nction of initial stellar mass and/or metallicity. 3. The abundance pa
ttern of neutron-capture elements in metal-poor stars show clear diffe
rences with respect to scaled solar-system r-process nucleosynthesis p
redictions; e.g. there is a relative excess of Ba (attributed mainly t
o the s-process). This pattern may be explained if the contribution of
the s-process to the solar abundances of heavy elements is overestima
ted, or the production of heavy elements through the r - process was d
ifferent when [Fe/H] was much lower than the present value, or there w
as an early onset of the contribution by the main component of the s-p
rocess in the Galactic chemical evolution.