The electrical resistivity of both polycrystalline and single crystal
CeCu2 has been studied under pressure up to 8.3 GPa for temperatures d
own to 24 mK. With increasing pressure, the Kondo effect develops whil
e the magnetic ordering temperature rises, in agreement with the diagr
am of Doniach. Near a critical pressure P-c similar to 6 GPa, which se
ems to coincide with a structural change, the magnetic ordering vanish
es and the electrical resistivity rho(T) recovers a Fermi liquid behav
iour with rho proportional to AT(2). The coefficient A indicates that
the electronic effective masses are much heavier than at zero pressure
. In a narrow pressure window around P-c, i.e. near the magnetic insta
bility of CeCu2, the electrical resistivity measurements show an onset
of superconductivity at 0.15-0.18 K. The very high initial slope, B'(
c2) similar to -5 T/K of the upper critical field strongly suggests he
avy fermion superconductivity.