Cross sections for the (p, xn) reactions for proton energies from 9 to
27 MeV on targets from titanium to thulium are consistently explained
by statistical direct reactions accompanied by gradual absorption of
protons into successive compound states of increasing complexity which
evolve towards the compound nucleus. It is shown that, in the absence
of strong collective excitations, pre-equilibrium compound reactions
prevail over direct processes. Physical parameters of the multistep di
rect reaction model are obtained, which when applied in analyses of (n
, xn) data may reveal the extent of collective enhancement of the scat
tering cross section.