We describe high energy nuclear collisions by a superposition of isotr
opically decaying thermal sources (''fireballs'') of freeze-out temper
ature T = 0.15 GeV. The longitudinal fireball superposition is taken a
s boost-invariant, in a rapidity range determined by the average energ
y loss of nucleons in p-p collisions. The transverse fireball motion i
s assumed to be due to random walk initial state collisions; it is det
ermined by p-A data and then extrapolated to central A-B interactions.
We thus obtain parameter-free predictions for the rapidity and transv
erse momentum spectra of hadrons produced in high energy nucleus-nucle
us collisions. The results account fully for the observed broadening o
f transverse momentum distributions, so that single-particle spectra r
equire neither collective flow nor temperature increase.