# 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 »

- Authors:

- Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)
- (Germany)
- 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. Sat .
"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 = {Sat Mar 15 00:00:00 EDT 2014},

month = {Sat Mar 15 00:00:00 EDT 2014}

}