  The $\sqrt{s_{pp}}$ behavior of the chaoticity parameter $\lambda$, derived
from Bose - Einstein Correlations (BEC) of pion-pairs produced in $pp$
collisions, is investigated. Considered are the one and three dimensions (1D,
3D) of the BEC analyzed in terms of a Gaussian and/or Exponential
distributions. A marked difference is observed between the $\lambda$ dependence
on energy in the 1D and the 3D analyzes. The experimental data are examined in
terms of the relation between the pion cluster of sources and the BEC dimension
R which in turn are deduced from the charged outgoing particle multiplicity.
While in this approach the general decrease with energy of the 1D $\lambda$ is
accounted for it fails to represent the few 3D $\lambda$ data which are seen to
remain constant with energy above $\sim$200 GeV.
