Notes

(1) This is similar to Feynman's assumption about an exchange of ``wee'' four-momentum in non-diffractive inelastic hadronic collisions. Note in particular that Feynman's wee exchange has non-zero longitudinal component [11]

(2) If the total available rapidity interval is , then the total longitudinal momentum in the hemisphere is roughly while the energy (the total transverse momentum vanishes by definition). Then .

(3) For example, an effective interquark potential would give a differential cross-section

(4) A similar criterion governs the applicability of independent nucleon models for medium energy hadron-nucleus and nucleus-nucleus interactions. For collision energies above a few hundred , such models are found experimentally to be quite accurate [8]. Since the average momentum transferred in low-energy collisions is also , collision energies of only a few times are required for interactions to be approximately independent.

(5) As in potential scattering

(6) This is the case for the elastic scattering at high energy and fixed . It is clear that fixed does not necessarily imply fixed . Our crucial dynamical assumption is the Feynman's wee four-momentum exchange

(7) The resulting events exhibit a distinctively different structure. For high transverse momenta, they usually involve four final hadron jets, while similar low-momentum transfer events would involve six jets.

(8) The leading log approximation to perturbative QCD implies that gluon radiation from quarks with invariant masses should be independent of the process by which the quark was produced

(9) The invariant masses of jets may also be estimated from measured multiplicities and distributions (e.g., with respect to sphericity axis) by the method used above for hadronic collisions

(10) A slightly more rapid rise in hadron multiplicity is expected in compared to collisions since the average should be larger (inasmuch as the dominant constituents of the incoming hadrons are ``valence'' quarks).

(11) At large distances from their point of interaction, the incoming hadrons may plausibly be taken to contain essentially only ``valence'' quarks. At short times before the interaction, these quarks may radiate and thereby provide ``sea'' constituents in the hadrons.(The intensity of radiation and thus momentum fraction carried by the ``sea'' depends on the invariant mass which may be sustained by the interaction.)

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