Hollowness in $pp$ and $p\bar{p}$ scattering in a Regge model

Abstract

The proton-proton and proton-antiproton inelasticity profiles in the impact parameter display very interesting and sensitive features which cannot be deduced solely from the current large body of high-energy scattering data. In particular, phenomenological studies exhibit a link between the ratio of the real to imaginary parts of the elastic scattering amplitude at a finite momentum transfer, and the corresponding change of character of the inelastic processes from central to peripheral collisions. We describe how a theoretical model, accommodating the existing data, based on the Regge hypothesis including both the Pomeron and odderon as double poles, and $\omega$ and $f$ mesons as single poles in the complex-$J$ plane, generates a hollow in the inelasticity at low impact parameters. The hollowness effect, which generally may be sensitive to model details, does unequivocally take place both for $pp$ and $p\bar{p}$ collisions within the applied Regge framework, indicating inapplicability of inelasticity-folding geometric approaches.

arXiv commentError propagation analysis added, updated references, 11 pages, 12 figures

References in corpus (35)

• Measurement of the proton-air cross-section at $\sqrt{s}=57$ TeV with the Pierre Auger Observatory
• Measurement of Elastic pp Scattering at $\sqrt{s}$ = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the $\rho$-Parameter and the Total Cross-Section
• Hadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays
• Elastic scattering of hadrons
• Did TOTEM experiment discover the Odderon?
• First measurement of elastic, inelastic and total cross-section at $\sqrt{s}=13$ TeV by TOTEM and overview of cross-section data at LHC energies
• Hot spots and the hollowness of proton-proton interactions at high energies
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Black disk, maximal Odderon and unitarity
• The interaction region of high energy protons
• Impact analysis of TOTEM data at the LHC: black disk limit exceeded
• Elastic proton-proton scattering at 13 TeV
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Evidence for maximality of strong interactions from LHC forward data
• The Pomeron and Odderon in elastic, inelastic and total cross sections at the LHC
• Proton-proton hollowness at the LHC from inverse scattering
• Once More on Coulomb-Nuclear Interference
• The new scattering mode emerging at the LHC?
• New analytic unitarization schemes
• Elastic $pp$ and $\bar{p}p$ scattering in the models of unitarized pomeron
• Unexpected properties of interactions of high energy protons
• Experimental signatures of hadron asymptotics at the LHC
• Model-independent data reductions of elastic proton-proton scattering
• Hollowness in pp scattering
• Torus or black disk?
• The new elastic scattering measurements of TOTEM --- are there hints for asymptotics?
• Proton Profile Function at 52.8 GeV
• Is There a Hollow Inside the Proton?
• High Energy Hadron Spin Flip Amplitude
• Beyond the black disk limit: from shadow to antishadow scattering mode
• Dispersion relations for meson-proton and proton-proton forward elastic scattering
• Impact-parameter analysis of the new TOTEM pp data at 13 TeV: black disk limit excess
• A toy model of elastic scattering of high energy protons
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV

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• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• The Phillips - Barger model for the elastic cross section and the Odderon
• CGC/saturation approach: secondary Reggeons and $\rho =Re/Im$ dependence on energy
• Proton structure and hollowness from Lévy imaging of $pp$ elastic scattering
• Searching for the Odderon in Ultraperipheral Proton--Ion Collisions at the LHC
• QCD Odderon: non linear evolution in the leading twist
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• Proton-proton forward scattering at the LHC
• Recent Results from the CERN LHC Experiment TOTEM -- Implications for Odderon Exchange
• New physics from TOTEM's recent measurements of elastic and total cross sections
• Reflective scattering at the LHC and two--scale structure of a proton
• A new parton model for the soft interactions at high energies: the Odderon
• A model of diffractive excitation in $pp$ collisions at high energies
• Central elastic scattering
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Resonant mode of elastic scattering of protons at ultra-high energies
• The ReBB model and its $H(x)$ scaling version at 8 TeV: Odderon exchange is a certainty
• Hollowness effect and entropy in high energy elastic scattering
• Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence
• pp elastic scattering at ISR and LHC energies
• Convergence properties of Lévy expansions: implications for Odderon and proton structure
• 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
• Transition from the shadow to reflective scattering
• Geometric scaling of elastic $pp$ cross section at the LHC
• The QCD odderon in elastic (anti)proton scattering
• Searching for the Odderon in the diffractive $f_2(1270)$ photoproduction at $pA$ collisions
• Soft Pomeron in light of the LHC correlated data