The fragmentation of S-32 (3.7 A GeV) and Si-28 (14.6 A GeV) is investigate
d as a function of the degree of disintegration of different components of
photoemulsion nuclei. The experimental measurements show nearly energy-inde
pendent behaviour throughout the studied charge, size and multiplicity dist
ributions of fragments produced from the two projectile beams. The various
stages of the interactions, from the initial impact through to the final fo
rmation of clusters, are theoretically treated as follows. (i) The first st
age of the interaction is modelled by the Glauber approach, using Reggeon p
arametrization for the nucleon-nucleon scattering amplitude. (ii) The addit
ional inelastic interaction of secondary particles, produced in the primary
stage, with other nucleons of the nucleus is analysed in the framework of
a Reggeon-theory inspired model. (iii) The phenomenological percolation-eva
poration model is used to describe the spectator part of the nucleus.