The ReBB model and its H (x) scaling version at 8 TeV: Odderon exchange is a certainty

The Real Extended Bialas-Bzdak (ReBB) model is shown here to describe, in the 0.37 <= -t <= 1.2 GeV2 region, the proton-proton elastic differential cross section data published by the TOTEM Collaboration at LHC at root s = 8 TeV center of mass energy. In this kinematic range, corresponding to the diffractive minimum-maximum region, a model-dependent Odderon signal higher than 18 sigma is obtained by comparing the ReBB model prediction for the p (p) over bar elastic differential cross section to this TOTEM measured pp elastic differential cross section data at 8 TeV. However, when combining this signal with the Odderon signals from the ReBB model in the 0.37 <= -t <= 1.2 GeV2 four-momentum-transfer range at root s = 1.96, 2.76 and 7 TeV, it turns out that the combined significance is dominated not by the new 8 TeV but by that of earlier 7 TeV TOTEM data, that carry an even larger Odderon effect. Thus, in any practical terms, within the framework of the ReBB model, the Odderon signal in the limited 0.37 <= -t <= 1.2 GeV2 and 1.96 <= root s <= 8 TeV kinematic region is not a probability, but a certainty. We show also that the H(x) scaling version of the ReBB model works reasonably well at 8 TeV in the 0.37 <= -t <= 0.97 GeV2 region.

Automated summary

The Real Extended Bialas-Bzdak (ReBB) model is used to describe the proton-proton elastic differential cross section data published by the TOTEM Collaboration at LHC. The model predicts a significant Odderon signal in the kinematic range of 0.37 <= -t <= 1.2 GeV2 at root s = 8 TeV. However, when considering the Odderon signals from earlier TOTEM data at different energies, the combined significance is dominated by the 7 TeV data.