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Hadronic Electrons? (1975) |
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A nonvector DEHC would lead to a cross section dependent on beam polarization:
thus causing a time dependence in 
, since the
transverse beam polarization in storage rings increases with time (Ellis 1974;
Goldman and Vinciarelli 1974). Although the possible variation of with time cannot be tested at present energies, it seems likely that the cross section
is time-independent, and hence the DEHC must be a vector interaction. Both in the 
-
and 
coupling forms, states with photon quantum numbers will be produced, so that there will
be interference with the one-photon channel. This will lead to a cross section of the form (Soni 1974a, 1974b)
where the first term is the QED one-photon prediction, the third term is the DEHC contribution, and the second term
arises from interference between the two interactions. The quantities 
and 
will not be quite independent of
since the DEHC will be significantly influenced by propagator effects.
When hadrons begin to boil from electrons, both the DEHC and interference terms become large and positive, assisting in
the sharp rise corresponding to boiling, but at higher energies the DEHC term will dominate.
However, for high energy 
interactions (Fig. 4),
changes sign and hence the interference term in equation (6) also
changes sign (Bigi and Bjorken 1974). Thus, in the energy region 
, the interference and DEHC contributions will tend to cancel and hence we will not see
scaling violation. interactions are found to scale for 
(Richter 1974, Gilman 1975), indicating that 
represents the
cancellation region. A number of other effects could also suppress
scale-breaking. Firstly, since 
, we expect only a slow rise in the DEHC
strength with energy, due to propagator effects. Secondly, Chanowitz and Drell ( 1973) predict a fall from the scaling bound as the electron probes the gluonic structure
of the nucleon, and this could cancel any rise due to the DEHC at these energies. However, at higher energies, we do
expect to see scale-breaking effects as the DEHC term begins to dominate the cross section. We note that, since the DEHC
proposed here involves strong interaction couplings, charge independence is expected, so that 
, in agreement with experiment (Richter 1974).
elastic
scattering.
