  We study the class of processes where the dynamics depends essentially on the
properties of the hadron wave functions involved in the reactions. In this case
the momentum dependence of the form of wave functions imposed by Lorentz
invariance and in particular by the Lorentz contraction can be tested in the
experiment and may strongly influence the resulting cross sections. One example
of such observables is given by the hadron form factors, where it was shown
that the large Q behavior is mostly frozen, when the Lorentz contraction of the
hadron wave functions is taken into account. Another example considered
previously is the strong hadron decay with high energy emission. In this paper
we study the role of the Lorentz contraction in the high-energy hadron-hadron
scattering process at large momentum transfer. For the $pp$ and $p\bar p$
scattering at large $s$ it is shown that at small $-t << s$ the picture of two
exponential slopes in the differential cross section explained previously by
the author is stable while the backward scattering cross section is strongly
increased by the Lorentz contraction.
