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

Abstract

Abstract The Real Extended Bialas-Bzdak (ReBB) model is shown here to describe, in the $$0.37 \le -t \le 1.2$$ 0.37 ≤ - t ≤ 1.2 GeV $$^2$$ 2 region, the proton-proton elastic differential cross section data published by the TOTEM Collaboration at LHC at $$\sqrt{s} = 8 $$ 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 $$\sigma $$ σ is obtained by comparing the ReBB model prediction for the $$p{\bar{p}}$$ p p ¯ 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 $$0.37 \le -t \le 1.2$$ 0.37 ≤ - t ≤ 1.2 GeV $$^2$$ 2 four-momentum-transfer range at $$\sqrt{s} = $$ 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 $$0.37 \le -t \le 1.2$$ 0.37 ≤ - t ≤ 1.2 GeV $$^2$$ 2 and $$1.96 \le \sqrt{s} \le 8$$ 1.96 ≤ 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 $$0.37 \le -t \le 0.97$$ 0.37 ≤ - t ≤ 0.97 GeV $$^2$$ 2 region.