We present a multiline study of the dense core L1544 in the Taurus molecula
r complex. Although L1544 does not harbor an embedded star, it presents sev
eral characteristics of cores that have already undergone star formation, s
uggesting that it may be rather advanced in its evolution toward becoming a
star-forming core. The spectral lines from L1544 present an interesting di
chotomy, with the thick dense gas tracers suffering very strong self absorp
tion while CO and its isotopes are not being absorbed at all. The presence
of the self absorptions allows us to study both the density structure and k
inematics of the gas in detail. A simple analysis shows that the core is al
most isothermal and that the self absorptions are due to very subthermal ex
citation of the dense gas tracers in the outer layers. The density has to d
ecrease outward rapidly, and a detailed radiative transfer calculation that
simultaneously fits three isotopes of CO and two of CS shows that the dens
ity approximately follows a r(-1.5) power law. The self absorptions, in add
ition, allow us to measure the relative velocity between the inner and oute
r layers of the core, and we find that there is a global pattern of inward
motions (background and foreground approaching each other). The relative sp
eed between the foreground and background changes with position, and we use
a simple two-layer model to deduce that while the foreground gas has a con
stant velocity, the background material presents systematic velocity change
s that we interpret as arising from two velocity components. We explore the
origin of the inward motions by comparing our observations with models of
gravitational collapse. A model in which the infall starts at the center an
d propagates outward las in the inside-out collapse of Shu) is inconsistent
with the large extension of the absorption (that suggests an advanced age)
and the lack of a star at the core center (that suggests extreme youth). A
mbipolar diffusion seems also ruled out because of the large amount of the
inward speed (up to 0.1 km s(-1)) and the fact that ionized species move wi
th speeds similar to those of the neutrals. Other infall models seem also t
o have problems fitting the data, so if L1544 is infalling, it seems to be
doing so in a manner not contemplated by the standard theories of star form
ation. Our study of L1544 illustrates how little is still known about the p
hysical conditions that precede star formation and how detailed studies of
starless cores are urgently needed.