A model for soft highenergy scattering: Tensor pomeron and vector odderon
Abstract
A model for soft highenergy 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 powerlaw 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 chargeconjugation 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 »
 Authors:
 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D69120 Heidelberg (Germany)
 (Germany)
 Departamento de Ciencias Básicas, Universidad del BíoBío, 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, Email: C.Ewerz@thphys.uniheidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D64291 Darmstadt, Maniatis, Markos, Email: mmaniatis@ubiobio.cl, and Nachtmann, Otto, Email: O.Nachtmann@thphys.uniheidelberg.de. A model for soft highenergy scattering: Tensor pomeron and vector odderon. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2013.12.001.
Ewerz, Carlo, Email: C.Ewerz@thphys.uniheidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D64291 Darmstadt, Maniatis, Markos, Email: mmaniatis@ubiobio.cl, & Nachtmann, Otto, Email: O.Nachtmann@thphys.uniheidelberg.de. A model for soft highenergy scattering: Tensor pomeron and vector odderon. United States. doi:10.1016/J.AOP.2013.12.001.
Ewerz, Carlo, Email: C.Ewerz@thphys.uniheidelberg.de, ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D64291 Darmstadt, Maniatis, Markos, Email: mmaniatis@ubiobio.cl, and Nachtmann, Otto, Email: O.Nachtmann@thphys.uniheidelberg.de. 2014.
"A model for soft highenergy scattering: Tensor pomeron and vector odderon". United States.
doi:10.1016/J.AOP.2013.12.001.
@article{osti_22224297,
title = {A model for soft highenergy scattering: Tensor pomeron and vector odderon},
author = {Ewerz, Carlo, Email: C.Ewerz@thphys.uniheidelberg.de and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, D64291 Darmstadt and Maniatis, Markos, Email: mmaniatis@ubiobio.cl and Nachtmann, Otto, Email: O.Nachtmann@thphys.uniheidelberg.de},
abstractNote = {A model for soft highenergy 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 powerlaw 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 chargeconjugation 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 highenergy 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 highenergy 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 helicityconserving 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 spinflip 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 »

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