  We present a comprehensive analysis of the low temperature experimental H-T
phase diagram of CeCoIn5. The main universal features of the diagram can be
explained within the Fermi-liquid theory provided that quasiparticles form so
called fermion-condensate state. We show that in this case the fluctuations
accompanying an ordinary quantum critical point are strongly suppressed and
cannot destroy the quasiparticles. Analyzing the phase diagram and giving
predictions, we demonstrate that the electronic system of CeCoIn5 provides a
unique opportunity to study the relationship between quasiparticles properties
and non-Fermi liquid behavior.
