The soft production problem in hadronic collisions as described in the eiko
nal color mutation branching model is improved in the way that the initial
parton distribution is treated. Furry branching of the partons is considere
d as a means of describing the nonperturbative process of parton reproducti
on in the soft interaction. The values of all the moments, [n] and C-q, for
q = 2, ..., 5, as well as their energy dependences, can be correctly deter
mined by the use of only two parameters. [S0556-2821(99)02421-2].