Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study

Abstract

The unitarily extended Bialas-Bzdak model of elastic proton-proton scattering is applied, without modifications, to describe the differential cross-section of elastic proton-antiproton collisions in the TeV energy range, and to extrapolate these differential cross-sections to LHC energies. In this model-dependent study we find that the differential cross-sections of elastic proton-proton collision data at 2.76 and 7 TeV energies differ significantly from the differential cross-section of elastic proton-antiproton collisions extrapolated to these energies. The elastic proton-proton differential cross-sections, extrapolated to 1.96 TeV energy with the help of this extended Bialas-Bzdak model do not differ significantly from that of elastic proton-antiproton collisions, within the theoretical errors of the extrapolation. Taken together these results provide a model-dependent, but statistically significant evidence for a crossing-odd component of the elastic scattering amplitude at the at least 7.08 sigma level. From the reconstructed Odderon and Pomeron amplitudes, we determine the $\sqrt{s}$ dependence of the corresponding total and differential cross-sections.

arXiv commentFinal version, typos fixed, accepted for a publication in EPJ C, including 3 tables, 32 figures, 61 pages. Model dependent Odderon significance stands at 7.08 sigma. Appendix C and D added to discuss the s-dependent Pomeron and Odderon amplitudes and cross-sections and to cross-check possible non-linear evolution of the model parameters at ISR energies

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Cited by in corpus (8)

• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• Lévy $\alpha$-stable model for the non-exponential low-$|t|$ proton-proton differential cross section
• The ReBB model and its $H(x)$ scaling version at 8 TeV: Odderon exchange is a certainty
• Evolution equation for elastic scattering of hadrons
• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV
• Simple Lévy-$\alpha$ stable model analysis of elastic $pp$ and $p\bar{p}$ low-$|t|$ data from SPS to LHC energies
• Effects of odderon spin on helicity amplitudes in $pp$ elastic scattering