We investigate the effect of non-trivial spatial correlations between proton
constituents, considered in this work to be gluonic hot spots, on the initial
conditions of proton-proton collisions from ISR to LHC energies, i.e. $\sqrt
s\!=\!52.6,7000,13000$ GeV. The inclusion of these correlations is motivated by
their fundamental role in the description of a recently observed new feature of
$pp$ scattering at $\sqrt s\!=\!7$ TeV, the hollowness effect. Our analysis
relies on a Monte-Carlo Glauber approach including fluctuations in the hot spot
positions and their entropy deposition in the transverse plane. We explore both
the energy dependence and the effect of spatial correlations on the number of
wounded hot spots, their spatial distribution and the eccentricities,
$\varepsilon_n$, of the initial state geometry of the collision. In minimum
bias collisions we find that the inclusion of short range repulsive
correlations between the hot spots reduces the value of the eccentricity
($\varepsilon_2$) and the triangularity ($\varepsilon_3$). In turn, upon
considering only the events with the highest entropy deposition i.e. the
ultra-central ones, the probability of having larger $\varepsilon_{2,3}$
increases significantly in the correlated scenario. Finally, the eccentricities
show a quite mild energy dependence.Comment: Manuscript restructured and extended to include a centrality study
and probability distributions instead of averages . Accepted for publication
in Phys. Rev.