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Title: 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 ansätze 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 pp and pp{sup -bar} 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 generalmore » 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. -- Highlights: •A general model for soft high-energy hadron scattering is developed. •The pomeron is described as effective tensor exchange. •Explicit expressions for effective reggeon–particle vertices are given. •Reggeon–particle and particle–particle vertices are related. •All vertices respect the standard C parity and crossing rules of QFT.« less

Authors:
 [1];  [2];  [3];  [1]
  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)
  2. (Germany)
  3. Departamento de Ciencias Básicas, Universidad del Bío-Bío, Avda. Andrés Bello s/n, Casilla 447, Chillán 3780000 (Chile)
Publication Date:
OSTI Identifier:
22224297
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 342; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; COUPLING; PARITY; PROPAGATOR; REGGE CALCULUS; SCATTERING; SPIN; TOTAL CROSS SECTIONS; VECTOR MESONS; VECTORS

Citation Formats

Ewerz, Carlo, E-mail: C.Ewerz@thphys.uni-heidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D-64291 Darmstadt, Maniatis, Markos, E-mail: mmaniatis@ubiobio.cl, and Nachtmann, Otto, E-mail: O.Nachtmann@thphys.uni-heidelberg.de. A model for soft high-energy scattering: Tensor pomeron and vector odderon. United States: N. p., 2014. Web. doi:10.1016/J.AOP.2013.12.001.
Ewerz, Carlo, E-mail: C.Ewerz@thphys.uni-heidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D-64291 Darmstadt, Maniatis, Markos, E-mail: mmaniatis@ubiobio.cl, & Nachtmann, Otto, E-mail: O.Nachtmann@thphys.uni-heidelberg.de. A model for soft high-energy scattering: Tensor pomeron and vector odderon. United States. doi:10.1016/J.AOP.2013.12.001.
Ewerz, Carlo, E-mail: C.Ewerz@thphys.uni-heidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D-64291 Darmstadt, Maniatis, Markos, E-mail: mmaniatis@ubiobio.cl, and Nachtmann, Otto, E-mail: O.Nachtmann@thphys.uni-heidelberg.de. 2014. "A model for soft high-energy scattering: Tensor pomeron and vector odderon". United States. doi:10.1016/J.AOP.2013.12.001.
@article{osti_22224297,
title = {A model for soft high-energy scattering: Tensor pomeron and vector odderon},
author = {Ewerz, Carlo, E-mail: C.Ewerz@thphys.uni-heidelberg.de and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D-64291 Darmstadt and Maniatis, Markos, E-mail: mmaniatis@ubiobio.cl and Nachtmann, Otto, E-mail: O.Nachtmann@thphys.uni-heidelberg.de},
abstractNote = {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 ansätze 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 pp and pp{sup -bar} 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. -- Highlights: •A general model for soft high-energy hadron scattering is developed. •The pomeron is described as effective tensor exchange. •Explicit expressions for effective reggeon–particle vertices are given. •Reggeon–particle and particle–particle vertices are related. •All vertices respect the standard C parity and crossing rules of QFT.},
doi = {10.1016/J.AOP.2013.12.001},
journal = {Annals of Physics (New York)},
number = ,
volume = 342,
place = {United States},
year = 2014,
month = 3
}
  • The helicity-conserving and nonconserving {ital NN}-scattering amplitudes in Pomeron and odderon exchanges are calculated in the Born approximation of QCD for the nucleon modeled as a quark and a scalar {ital ud} diquark. The Pomeron amplitude is insensitive to the diquark size for small {vert bar}{ital t}{vert bar}. The odderon amplitude without spin-flip falls off with decreasing diquark radius. The contribution of odderon exchange to the ratio Re {ital T}/Im {ital T} for forward {ital pp} scattering is {similar to}0.02 for the symmetric nucleon and {similar to}0.005{endash}0.01 for the nucleon with a compact diquark of radius {similar to}0.2{endash}0.3 F. Inmore » the case of a compact diquark the contribution of Pomeron{endash}odderon interference to the polarization in {ital pp} scattering is {similar to}0.5{endash}1% at {vert bar}{ital t}{vert bar}{similar to}0.3 (GeV/{ital c}){sup 2}.« less
  • We estimate the production of two meson pairs in high energy photon-photon collisions produced in ultraperipheral collisions at LHC. We show that the study of charge asymmetries may reveal the existence of the perturbative Odderon and discuss the concrete event rates expected at the LHC. Sizable rates and asymmetries are expected in the case of proton-proton collisions and medium values of {gamma}{gamma} energies {radical}(s{sub {gamma}}{sub {gamma}}){approx_equal}20 GeV. Proton-proton collisions will benefit from a high rate due to a large effective {gamma}{gamma} luminosity and ion-ion collisions with a somewhat lower rate from the possibility to trigger on ultraperipheral collisions and amore » reduced background from strong interactions.« less
  • The sensitivity of the spin dependence of high energy pp scattering, particularly the asymmetry A{sub NN}, to the odderon is demonstrated. Several possible ways of determining the spin dependence of the odderon coupling from small-t data are presented. (c) 2000 The American Physical Society.
  • The two-gluon model of the Pomeron is used to estimate the P-odd asymmetry A/sub L/(pN) associated with the parity-violating interaction of the quarks belonging to the incident proton. Calculations are performed for the nucleon wave functions of the MIT bag model. It is shown that an admixture of negative-parity states in the proton wave function leads to A/sub L/(pN)approx.(0.29--0.35) x 10/sup -7/. It is argued that the P-odd corrections to the color currents cannot significantly alter this value of A/sub L/(pN).