A Model for Soft High-Energy Scattering: Tensor Pomeron and Vector Odderon

Abstract

A model for soft high-energy scattering is developed. The model is formulated in terms of effective propagators and vertices for the exchange objects: the pomeron, the odderon, and the reggeons. The vertices are required to respect standard rules of QFT. The propagators are constructed taking into account the crossing properties of amplitudes in QFT and the power-law ansaetze from the Regge model. We propose to describe the pomeron as an effective spin 2 exchange. This tensor pomeron gives, at high energies, the same results for the p-p and p-pbar elastic amplitudes as the standard Donnachie-Landshoff pomeron. But with our tensor pomeron it is much more natural to write down effective vertices of all kinds which respect the rules of QFT. This is particularly clear for the coupling of the pomeron to particles carrying spin, for instance vector mesons. We describe the odderon as an effective vector exchange. We emphasise that with a tensor pomeron and a vector odderon the corresponding charge-conjugation relations are automatically fulfilled. We compare the model to some experimental data, in particular to data for the total cross sections, in order to determine the model parameters. The model should provide a starting point for a general framework for describing soft high-energy reactions. It should give to experimentalists an easily manageable tool for calculating amplitudes for such reactions and for obtaining predictions which can be compared in detail with data.

58 pages

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Cited by in corpus (54)

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• Gluon matter distribution in the proton and pion from extended holographic light-front QCD
• Towards a complete study of central exclusive production of $K^{+}{K}^{-}$ pairs in proton-proton collisions within the tensor Pomeron approach
• Probing the Sivers function with an unpolarized target: GTMD distributions and the Odderons
• The Tensor Pomeron and Low-x Deep Inelastic Scattering
• Pomeron/glueball and odderon/oddball trajectories
• The ${\rho }^0$ and Drell-Söding contributions to central exclusive production of ${\pi }^{+}{\pi }^{-}$ pairs in proton-proton collisions at high energies
• Central exclusive diffractive production of $K^{+}{K}^{-}{K}^{+}{K}^{-}$ via the intermediate $\varphi \varphi$ state in proton-proton collisions
• ${\eta }_c$ production in photon - induced interactions at the AFTER@LHC experiment as a probe of the Odderon
• Exclusive diffractive production of ${\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ via the intermediate $\sigma \sigma$ and $\rho \rho$ states in proton-proton collisions within tensor pomeron approach
• Double vector meson production in photon - hadron interactions at hadronic colliders
• Revision of absorption corrections for the $pp\to pp{\pi }^{+}{\pi }^{-}$ process
• Extracting the Odderon from $pp$ and $\bar{p}p$ scattering data
• Pomeron Interactions from the Einstein-Hilbert Action
• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• From the $\gamma \gamma \to p\bar{p}$ reaction to the production of $p\bar{p}$ pairs in ultraperipheral ultrarelativistic heavy-ion collisions at the LHC
• Central exclusive diffractive production of $p\bar{p}$ pairs in proton-proton collisions at high energies
• Resonance production in Pomeron-Pomeron collisions at the LHC
• Central production of ${\rho }^0$ in $pp$ collisions with single proton diffractive dissociation at the LHC
• Searching for the odderon in $pp\to pp{K}^{+}{K}^{-}$ and $pp\to pp{\mu }^{+}{\mu }^{-}$ reactions in the $\varphi (1020)$ resonance region at the LHC
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Extracting the pomeron-pomeron-$f_2(1270)$ coupling in the $pp\to pp{\pi }^{+}{\pi }^{-}$ reaction through angular distributions of the pions
• High-energy $\pi \pi$ scattering without and with photon radiation
• Hadronic total cross sections at high energy and the QCD spectrum
• Polarized gluon distribution in the proton from holographic light-front QCD
• The role of meson exchanges in light-by-light scattering
• Dark photon production via elastic proton bremsstrahlung with non-zero momentum transfer
• Soft-photon radiation in high-energy proton-proton collisions within the tensor-Pomeron approach: Bremsstrahlung
• Central exclusive diffractive production of a single photon in high-energy proton-proton collisions within the tensor-Pomeron approach
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• Configurational entropy and spectroscopy of pomeron resonances in dynamical AdS/QCD
• Production of $f_0(980)$ meson at the LHC: Color evaporation versus color-singlet gluon-gluon fusion
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Study of the exclusive reaction $pp\to pp{K}^{\ast 0}{\bar{K}}^{\ast 0}$: $f_2(1950)$ resonance versus diffractive continuum
• Diffractive production of mesons
• Different versions of soft-photon theorems exemplified at leading and next-to-leading terms for pion-pion and pion-proton scattering
• Tensor pomeron, vector odderon and diffractive production of meson and baryon pairs in proton-proton collisions
• Exclusive central diffractive production of scalar, pseudoscalar and vector mesons
• Production of $f_2(1270)$ meson in $pp$ collisions at the LHC via gluon-gluon fusion in the $k_t$-factorization approach
• Deeply virtual Compton scattering in the tensor-pomeron approach
• Central exclusive diffractive $p$ $\bar{p}$ production in the Regge-eikonal model in the "scalar'' proton approximation
• Central exclusive diffractive production of two-pions from continuum and decays of resonances in the Regge-eikonal model
• Exclusive diffractive bremsstrahlung of one and two photons at forward rapidities: Possibilities for experimental studies in $pp$ collisions at the LHC
• Soft-photon theorem for pion-proton elastic scattering revisited
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• Effects of odderon spin on helicity amplitudes in $pp$ elastic scattering
• Searching for the Odderon in the diffractive $f_2(1270)$ photoproduction at $pA$ collisions
• Exploring Nucleon Structure and the Proton Mass Problem through Holographic QCD
• Study of Central Exclusive Production of ${\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}$ and $p\bar{p}$ Pairs in Proton-Proton Collisions at $\sqrt{s}=510$ GeV with the STAR Detector at RHIC
• Central exclusive production of $K^{+}{K}^{-}$ pairs in proton-proton collisions