Abstract
The double-pomeron coupling strength in the dual resonance model is found in both the inclusive and exclusive regions by comparison with experiments. Double-pomeron coupling occurs in inclusive experiments in the Mueller diagram for the central plateau region. Its strength can also be bounded from its non-observation in the two-particle to four-particle exclusive experiments. The dual resonance model is used to perform the analytic continuation of a six-point amplitude between these regions. The results show that the coupling strength for two forward pomerons in the exclusive region must be less than 1 300 of that in the inclusive region. This is experimental evidence for substantial forward double-pomeron decoupling in exclusive processes.
Highlights
In order to learn more about the nature of the pomeron singularity, we have examined theoretical models for double-pomeron exchange in two of its experimental occurrences [1 ]
We find that the coupling strength in the exclusive region must be about 31~ of that in the inclusive region
From the discrepancy of a factor of 300 between the coupling strengths needed to satisfy inclusive and exclusive experiments, it is clear that the dual resonance model tree diagrams do not perform a good continuation between these regions
Summary
In order to learn more about the nature of the pomeron singularity, we have examined theoretical models for double-pomeron exchange in two of its experimental occurrences [1 ]. The pionization cross section has been related by Mueller [3] to an absorptive part of a forward 3 -~ 3 scattering amplitude involving double-pomeron exchange as indicated in fig. In this paper we will study the dual resonance model tree diagrams for the six point amplitude with the inclusion of pomeron trajectories. The six-point dual model may be used to evaluate the 2 ~ 4 cross section in the double Regge region. The dual diagrams for the six-point function which are present in the double Regge limit with pomeron exchange are shown in figs. The inconsistency of the coupling strengths we find arises because the full dual resonance amplitude for double-pometon exchange does not satisfy the decoupling behavior in the forward exclusive process as required by unitarity [6].
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