Reactions with pions and vector mesons in the sector of odd intrinsic parity

Carla Terschlüsen,Fabian Eichstädt,Stefan Leupold,Bruno Strandberg

doi:10.1140/epja/i2013-13116-6

Carla Terschlüsen, Fabian Eichstädt + Show 2 more

Open Access

https://doi.org/10.1140/epja/i2013-13116-6

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Abstract

The Wess-Zumino-Witten structure is supplemented by a simple vector-meson Lagrangian where the vector mesons are described by antisymmetric tensor fields. With the \rho-\omega-\pi{} coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the decay of an \omega-meson into three pions, the single- and double-virtual pion transition form factor and the three-pion production in electron-positron collisions.

Highlights

The leading-order contribution to reactions with pions in the sector of odd intrinsic parity is defined by the Wess-Zumino-Witten structure
With the rho-omega-pion coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the pion transition form factor and the three-pion production in electron-positron collisions
One of the challenges in hadron physics is the description of the low-energy regime

Summary

Introduction

Due to the running coupling constant in QCD, perturbation theory can only be used for high energies but not for low energies Instead, this energy regime can be described using effective theories with hadrons instead of quarks and gluons as relevant degrees of freedom. For momenta p ≈ mV LWZW would still be of order p4 but Lovedcd of order p2 according to the counting scheme of [4] where both pseudoscalar and vector mesons are treated as light. Both Lagrangians are formally never of the same order. In the following it will be shown that one needs both Lagrangians to be able to describe the available experimental data

Determination of open parameters

Applications

Findings

Summary