It is demonstrated that in a two-stage scenario with elementary Poissonian
emitters of particles (colour strings) arbitrarily distributed in their num
ber and average multiplicities, the forward-backward correlations are compl
etely determined by the final distribution of forward particles. The observ
ed linear form of the correlations then necessarily requires this distribut
ion to have a negative binomial form. For emitters with a negative binomial
distribution in the produced particles distributed so as to give the final
distribution also of the negative binomial form, the forward-backward corr
elations have an essentially non-linear form which disagrees with the exper
imental data. (C) 2000 Elsevier Science B.V. All rights reserved.