  Pre-stellar cores represent the initial conditions in the process of star and
planet formation, therefore it is important to study their physical and
chemical structure. Because of their volatility, nitrogen-bearing molecules are
key to study the dense and cold gas present in pre-stellar cores. The NH_3
rotational transition detected with Herschel-HIFI provides a unique combination
of sensitivity and spectral resolution to further investigate physical and
chemical processes in pre-stellar cores. Here we present the velocity-resolved
Herschel-HIFI observations of the ortho-NH_3(1_0-0_0) line at 572 GHz and study
the abundance profile of ammonia across the pre-stellar core L1544 to test
current theories of its physical and chemical structure.
  Recently calculated collisional coefficients have been included in our
non-LTE radiative transfer code to reproduce Herschel observations. A gas-grain
chemical model, including spin-state chemistry and applied to the (static)
physical structure of L1544 is also used to infer the abundance profile of
ortho-NH_3 . The hyperfine structure of ortho-NH_3(1_0-0_0) is resolved for the
first time in space. All the hyperfine components are strongly self-absorbed.
The profile can be reproduced if the core is contracting in quasi-equilibrium,
consistent with previous work, and if the NH_3 abundance is slightly rising
toward the core centre, as deduced from previous interferometric observations
of para-NH_3(1,1). The chemical model overestimates the NH_3 abundance at radii
between ~ 4000 and 15000 AU by about two orders of magnitude and underestimates
the abundance toward the core centre by more than one order of magnitude. Our
observations show that chemical models applied to static clouds have problems
in reproducing NH_3 observations.

Astrophysics of Galaxies;Solar and Stellar Astrophysics