data may be qualitatively different\[18\] have made it even more important to connect $J/\psi$ production and scattering more firmly with QCD.

Clearly soft
============

Total cross sections
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Donnachie and Landshoff\[1\] have shown that all high energy total cross sections for hadron-hadron collisions can be written in the form

$$\sigma_{tot}=\sigma_0(s/s_0)^\epsilon + {\rm subleading\  terms}\eqno(2.1)$$

where $\sigma_0$ depends on the particular hadrons initiating the collision and the subleading terms go to zero roughly like $(s/s_0)^{-1/2}.$ $s_0$ is an arbitrary scale factor while $\epsilon$ appears to be universal and of size

$$\epsilon \approx 0.1.\eqno(2.2)$$

$1 + \epsilon = \alpha_p$ is the intercept of the soft pomeron in Regge-language. HERA data shows that (2.1) is also true for real photon-proton collisions. Of course a growth in energy as fast as that indicated in (2.1) cannot persist at arbitrarily high energies because of limitations required by the Froissart bound which does not permit total hadronic cross sections to rise faster than $\ell n^2 s/s_0$ at asymptotic energies. The fact that the behavior indicated in (2.1) persists up to the highest Fermilab energy region might seem to indicate that unitarity constraints, which are responsible for the Froissart bound, are not yet effective in the presently 