Hadronic scattering amplitudes: medium-energy constraints on asymptotic behaviour

Abstract

We consider several classes of analytic parametrisations of hadronic scattering amplitudes, and compare their predictions to all available forward data (p p, pbar p, pi p, K p, gamma p, gamma gamma, Sigma p). Although these parametrisations are very close for sqrt(s) > 9 GeV, it turns out that they differ markedly at low energy, where a universal pomeron term ~log^2(s) enables one to extend the fit down to sqrt(s)=4 GeV.

33 pages. Notations revised, clarified and corrected, appendix added with the formulae used, one reference added, typos corrected

References in corpus (17)

• Total cross sections
• A New Odderon Solution in Perturbative QCD
• Bounds on the Soft Pomeron Intercept
• High-Energy Forward Scattering and the Pomeron: Simple Pole versus Unitarized Models
• Total Hadronic Cross-Section of Photon-Photon Interactions at LEP
• Extending the Frontiers - Reconciling Accelerator and Cosmic Ray p-p Cross Sections
• Total Cross Section Measurements with pi-, Sigma- and Protons on Nuclei and Nucleons around 600 GeV/c
• Total Cross Section in gamma gamma Collisions at LEP
• Exchange-degenerate Regge trajectories: a fresh look from resonance and forward scattering regions
• Regge models of the proton structure function with and without hard Pomeron: a comparative analysis
• Asymptotic behaviour of the total cross section of p-p scattering and the Akeno cosmic ray data
• Does F2 need a hard pomeron?
• A Possible Two-Component Structure of the Non-Perturbative Pomeron
• Pomeron physics: an update
• Properties of a family of n reggeized gluon states in multicolour QCD
• High Energy Hadronic Total Cross-Sections
• The Two-Component Non-Perturbative Pomeron and the G-Universality

Cited by in corpus (102)

• Hunting All the Hidden Photons
• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Regge analysis of the pi pi scattering amplitude
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Search for direct CP violating charge asymmetries in $K^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ and $K^{\pm }\to {\pi }^{\pm }{\pi }^0{\pi }^0$ decays
• Froissart Bound from Gluon Saturation
• Search for ultra-high energy photons using air showers
• The Pomeron contribution to p p and p bar p scattering in AdS/QCD
• Did TOTEM experiment discover the Odderon?
• New evidence for the saturation of the Froissart bound
• Evidence for the saturation of the Froissart bound
• Upper limit on the photon fraction in highest-energy cosmic rays from AGASA data
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Experimental Confirmation that the Proton is Asymptotically a Black Disk
• Light-Meson Spectroscopy with COMPASS
• Chiral Perturbation Theory, the $1/N_c$ expansion and Regge behaviour determine the structure of the lightest scalar meson
• The Odderon in Quantum Chromodynamics
• Proton-nucleus scattering and cross section fluctuations at RHIC and LHC
• Novel approaches in Hadron Spectroscopy
• Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV
• Heisenberg saturation of the Froissart bound from AdS-CFT
• How can the Odderon be detected at RHIC and LHC
• On the precision of the theoretical predictions for pi pi scattering
• GPDs of the nucleons and elastic scattering at high energies
• The ALFA Roman Pot Detectors of ATLAS
• Photoproduction of vector mesons in the Soft Dipole Pomeron model
• Evidence for maximality of strong interactions from LHC forward data
• Total Hadronic Cross Section and the Elastic Slope: An Almost Model-Independent Connection
• Soft Gluon kt-Resummation and the Froissart bound
• Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2
• The hard pomeron in soft data
• First Measurement of Proton-Proton Elastic Scattering at RHIC
• Critical analysis of derivative dispersion relations at high energies
• Soft Pomerons and the Forward LHC Data
• Analyticity as a Robust Constraint on the LHC Cross Section
• On the rise of proton-proton cross-sections at high energies
• A universal Regge pole model for all vector meson exclusive photoproduction by real and virtual photons
• Analytic models and forward scattering from accelerator to cosmic-ray energies
• The soft and the hard pomerons in hadron elastic scattering at small t
• Setting the scale of the p p and p bar p total cross sections using AdS/QCD
• Elastic proton-proton scattering at LHC energies in holographic QCD
• Forward Elastic Scattering and Pomeron Models
• A study on analytic parametrizations for proton-proton cross-sections and asymptotia
• Total Hadronic Cross Sections and π^\mp π^+ Scattering
• Pion-nucleon charge-exchange amplitudes above 2 GeV
• Unitarisation of the hard pomeron and black-disk limit at the LHC
• Precision Small Scattering Angle Measurements of Elastic Proton-Proton Single and Double Spin Analyzing Powers at the RHIC Hydrogen Jet Polarimeter
• Elastic $pp$ and $\bar{p}p$ scattering in the models of unitarized pomeron
• The energy dependence of the diffraction minimum in the elastic scattering and new LHC data
• Elastic and diffractive scattering in the LHC era
• Pomeron effective intercept, logarithmic derivatives of $F_2(x,Q^2)$ in DIS and Regge models
• Leading components in forward elastic hadron scattering: Derivative dispersion relations and asymptotic uniqueness
• Proton-proton scattering above 3 GeV/c
• The Pomeron In Exclusive Vector Meson Production
• First Measurement of A_N at sqrt(s)=200 GeV in Polarized Proton-Proton Elastic Scattering at RHIC
• Photon air showers at ultra-high energy and the photonuclear cross-section
• t-channel unitarity and photon cross sections
• The soft Pomeron from AdS-CFT
• Heisenberg's Universal (lns)**2 Increase of Total Cross Sections
• Pomeron and Reggeon contributions to elastic proton-proton and proton-antiproton scattering in holographic QCD
• A-dependence of phi-meson production in p+A collisions
• Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD
• Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
• The high-energy hadron spin-flip amplitude at small momentum transfer and new AN data from RHIC
• Total Hadronic Cross Section Data and the Froissart-Martin Bound
• Universal Rise of Hadronic Total Cross Sections based on Forward pi p and pbarp(pp) Scatterings
• Bounds on the rise of total cross section from LHC7 and LHC8 data
• An updated analysis on the rise of the hadronic total cross-section at the LHC energy region
• Test of Universal Rise of Hadronic Total Cross Sections based on pi p, Kp and pbar p,pp Scatterings
• Total cross sections and $\rho$ at high energy
• Anomaly in the differential cross sections at 13 TeV
• Improvements to the Froissart bound from AdS/CFT
• Measurement of the energy dependence of the total photon-proton cross section at HERA
• Regge residues from DGLAP evolution
• DGLAP evolution extends the triple pole pomeron fit
• A New Method for the Determination of the Real Part of the Hadron Elastic Scattering Amplitude at Small Angles and High Energies
• Comments on high-energy total cross sections in QCD
• Primakoff effect in eta-photoproduction off protons
• Dark Vector Mesons at LHC Forward Detector Searches
• A model of diffractive excitation in $pp$ collisions at high energies
• Soft diffraction within the QCD color dipole picture
• Dispersion relations for meson-proton and proton-proton forward elastic scattering
• Pomeron pole plus grey disk model: real parts, inelastic cross sections and LHC data
• Heavy Quark Production in Ultra High Energy Cosmic Ray Interactions
• The effects of the small t properties of hadronic scattering amplitude on the determination its real part
• Test of the Universal Rise of Hadronic Total Cross Sections at Super-high Energies
• New limits on "odderon" amplitudes from analyticity constraints
• P-P Total Cross Sections at VHE from Accelerator Data
• Rise of Kp Total Cross Section and Universality
• Direct extraction of hadronic form factors from elastic-scattering data
• Multiplicity of photohadronization and photon--hadron scaling violation
• Soft data and the hard pomeron
• Recent results on saturation and CGC
• A review of the hard pomeron in soft diffraction
• An investigation on the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data
• Elastic Meson-Nucleon and Nucleon-Nucleon Scattering: Models vs. All Available Data
• Some problems of determination of the spin structure of the scattering amplitude and experiments at NICA
• Consequences of t-channel unitarity for gamma(*)p and gamma(*) gamma(*) amplitudes
• Geometric scaling of elastic $pp$ cross section at the LHC
• High-energy behavior of hadronic total cross sections from lattice QCD
• Consequences of t-channel unitarity for the interaction of real and virtual photons at high energies
• Hard pomeron contribution to forward elastic scattering