  A new variant of the effective pomeron exchange model is proposed for the
description of the correlation, observed in $pp$ and $p\bar{p}$ collisions at
center-of-mass energy from SPS to LHC, between mean transverse momentum and
charged particles multiplicity. The model is based on the Regge-Gribov
approach. Smooth logarithmic growth with the collision energy was established
for the parameter k, the mean rapidity density of charged particles produced by
a single string. It was obtained in the model by the fitting of the available
experimental data on charged particles rapidity density in $pp$ and $p\bar{p}$
collisions. The main effect of the model, a gradual onset of string
collectivity with the growth of collision energy, is accounted by a free
parameter {\beta} that is responsible in an effective way for the string fusion
phenomenon. Another free parameter, t, is used to define string tension. We
extract parameters {\beta} and t from the available experimental results on
<pt>-multiplicity correlation at nucleon collision energy $\sqrt{s}$ from 17
GeV to 7 TeV. Smooth dependence of both {\beta} and t on energy allows to make
predictions for the correlation behavior at the collision energy of 14 TeV. The
indications to the string interaction effects in high multiplicity events in
$pp$ collisions at the LHC energies are also discussed.
