The entropy per nucleon (S/A) has been extracted for the Au [(150-800)
A MeV] + Au reaction by using the phase I setup of the 4pi facility at
GSI, Darmstadt. The entropy has been obtained from the comparison of
various observables characterizing the dM/dZ fragment multiplicity dis
tributions, extending up to Z is similar to 15, with those calculated
with the quantum statistical model. It is the first time that S/A valu
es are determined by considering the full ensemble of charged products
detected in the reaction. Consistent values of S/A are found from dif
ferent methods. These entropy values are shown to be fairly independen
t of the volume of the ''participant'' region considered. They are som
ewhat lower than those extracted in earlier works but are in good agre
ement with hydrodynamic calculations and suggest a low viscosity for t
he hot and dense nuclear matter.