Strongly intensive fluctuations between the multiplicity and the total transverse momentum in $pp$ interactions in the multipomeron exchange approach

We calculate the strongly intensive variables $\Sigma$ and $\Delta$ that suppress trivial volume fluctuations and are constructed for the charged particle multiplicity $n$ and the total transverse momentum $P_\mathrm{t}$ in a modified multipomeron exchange approach for proton–proton interactions in the range of collision energies attainable with the SPS and LHC accelerators. In this approach, the interaction between the color quark–gluon strings formed from cut pomerons are effectively taken into account; in this case, the role of these interactions increases as the collision energy increases. The inequalities $\Sigma(P_\mathrm{t},n)>1$ and $\Delta(P_\mathrm{t},n)<1$, which agree with the experimental data, are the main result of the calculations for energies attainable at the SPS. We show that as the energy increases, $\Sigma(P_\mathrm{t},n)$ behaves nonmonotonically and $\Delta(P_\mathrm{t},n)$ increases.