Abstract
We derive a unitarized model for the peripheral production of the three-pion system in the isobar approximation. The production process takes into account long-range t -channel pion exchange. The K-matrix approach is chosen for the parameterization of the scattering amplitude. Five coupled channels are used to fit the COMPASS spin-density matrices for the J PC M ϵ = 2−+ 0+ sector. Preliminary results of the fit are presented.
Highlights
More than one hundred mesons observed in the light sector are coupled to the system of three pions
Precise studies of the scattering amplitudes and resonance phenomena will eventually lead to a better understanding of Quantum Chromodynamics (QCD)
We introduce the notation and clarify the quantities which are used to represent the results of the COMPASS partial-wave analysis (PWA)
Summary
More than one hundred mesons observed in the light sector are coupled to the system of three pions. The interactions in the ordinary JPC sectors e.g. 1++, 2++, 2−+ are very interesting as many resonances are known to appear in the scattering. The extraction of observables from lattice data requires a theoretical framework similar to the one needed for real data. Precise studies of the scattering amplitudes and resonance phenomena will eventually lead to a better understanding of Quantum Chromodynamics (QCD). The available parameterizations of meson interaction amplitudes will improve Monte-Carlo generators. The goal of our analysis is to develop the theoretical framework for the extraction of scattering amplitudes from different experimental data on meson scattering [3]. The most important constraints to the scattering amplitude. The second assumption we will make is analyticity of the amplitude in the space of invariants upon which the amplitude depends
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