Model forpp→pXInclusive Reaction at Small Momentum Transfers

The study of the resonant contribution to the finite-mass sum rules for the forward Pomeran-proton scattering amplitude obtained from the $\mathrm{pp}\to \mathrm{pX}$ spectra for $0.1<\mathrm{}\left|t\right|<0.5\mathrm{}$ ${\mathrm{}\left(\mathrm{GeV}\right)\mathrm{}}^2$ suggests that: (a) Local duality works nicely for a missing mass larger than 1450 MeV; the nucleon and the 1410 MeV enhancement cooperate in order to saturate the first-moment sum rule. (b) There is evidence for a wrong-signature fixed pole at $J=1\mathrm{}$ whose residue is exponential in the mass of the Pomeron. (c) The $PPR(P\equiv \mathrm{Pomeron}; R\equiv \mathrm{Regge})$ triple-Regge term obtained from the finite-mass sum rules turns out to be much too small to account for the diffractive part of the proton spectrum at the ISR (CERN Intersecting Storage Rings) energies. Reciprocally, if one fits this part of the spectrum with a $\mathrm{PPR}$ term, the contribution of such a term at accelerator energies is much larger than the experimental data. These results tend to indicate that most of the diffraction observed at ISR is due to a $\mathrm{PPP}$ term.