Abstract
We describe a new and model-independent Lévy imaging method of quality fits to the published datasets and reconstruct the amplitude of high-energy pp and pbar{p} elastic scattering processes. This method allows us to determine the excitation function of the shadow profile P(b), the elastic slope B(t) and the nuclear phase phi (t) functions of pp and pbar{p} collisions directly from the data. Surprisingly, notable qualitative differences in B(t) for pp and for pbar{p} collisions point towards an Odderon effect. As a by-product, we clearly identify the proton substructure with two different sizes at the ISR and LHC energies, that has striking similarity to a dressed quark (at the ISR) and a dressed diquark (at the LHC). We present model-independent results for the corresponding sizes and cross-sections for such a substructure for the existing data at different energies.
Highlights
The new TOTEM preliminary results [1,2] generated a burst of high-level and vigorous theoretical debate about the correct interpretation of these data, see Refs. [5]– [18]
But indirect signals of Odderon effects are present in the differential cross-section of elastic pp and p pscattering, as indicated by the difference of the fourmomentum transfer dependence of the elastic slope B(t) for pp and for p pcollisions
An obvious and numerically very stable observation is that the low-|t| approximate value, Bcone( pp|Large Hadron Collider (LHC)) ≈ 20 GeV−2 is nearly a factor of two larger than the corresponding values at ISR, and it is clear that these values are significantly t-dependent
Summary
The new TOTEM preliminary results [1,2] generated a burst of high-level and vigorous theoretical debate about the correct interpretation of these data, see Refs. [5]– [18]. The new TOTEM preliminary results [1,2] generated a burst of high-level and vigorous theoretical debate about the correct interpretation of these data, see Refs. We investigate earlier, published data and a recently released, new TOTEM preliminary data set [19], to look for the Odderon effects in elastic pp collisions, and for the interpretation of the data, using a new and modelindependent imaging technique, the Lévy series. Our analysis is based on the TOTEM preliminary data as presented by F. But indirect signals of Odderon effects are present in the differential cross-section of elastic pp and p pscattering, as indicated by the difference of the fourmomentum transfer dependence of the elastic slope B(t) for pp and for p pcollisions. A less evident but clear difference is identified between the nuclear phase φ(t) of pp and p pcollisions in the TeV energy range
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