Phenomenologically, all the models proposed to explain the alignment of the
most energetic cores of gamma - h families [1] can be distinguished by a s
pecific coplanar interaction, mean free path (m.f.p.) for this interaction,
characteristic transverse momentum, and so on. Results of the analysis of
alignment dependence on these parameters made to estimate model features ar
e given below. Families are assumed to be aligned, if the condition lambda
(4) greater than or equal to 0.8 is satisfied for their Energetically Disti
nguished Centers (EDCs), the most energetic objects in gamma-hadron familie
s (particles, clusters, haloes).