  In this paper we continue our program to build a model for high energy soft
interactions, that is based on the CGC/saturation approach.The main result of
this paper is that we have discovered a mechanism that leads to large long
range rapidity correlations, and results in large values of the correlation
function $R\Lb y_1,y_2\Rb \,\geq \,1$, which is independent of $y_1$ and $
y_2$. Such behaviour of the correlation function, provides strong support for
the idea, that at high energies the system of partons that is produced, is not
only dense, but also has strong attractive forces acting between the partons.
