A model for soft high-energy scattering: Tensor pomeron and vector odderon

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 a...

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Bibliographic Details
Published in:Annals of physics 2014-03, Vol.342, p.31-77
Main Authors: Ewerz, Carlo, Maniatis, Markos, Nachtmann, Otto
Format: Article
Language:English
Subjects:
AMPLITUDES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COUPLING
High-energy scattering
Mathematical analysis
Mathematical models
PARITY
Pomerons
PROPAGATOR
REGGE CALCULUS
Regge model
SCATTERING
SPIN
Tensors
TOTAL CROSS SECTIONS
VECTOR MESONS
VECTORS
Vectors (mathematics)
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Summary: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 pp̄ 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. •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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2013.12.001