Abstract
We present several possible hadronic states found in coupled-channel models within the on-shell approximation. The interaction potential is constructed as a sum of the tree-level Feynman diagrams calculated with the effective Lagrangians. Based on the recent empirical data, we illustrate the possible existence of several baryonic and mesonic states with definite quantum numbers in the model. We give their properties for the purpose of further study and discuss the potential of finding them in future experiments.
Highlights
Nowadays, the Quantum Chromodynamics (QCD) has not yet been numerically resolved at the range of low energies, if not mentioning the lattice QCD for the moment
The rapid advancement of the coupled-channel model and the wide application of the partial wave analysis (PWA) tools have promoted the recent progress of hadronic spectra
The coupledchannel model with effective or chiral Lagrangians could be used to predict several hadronic states based on the current empirical information
Summary
The Quantum Chromodynamics (QCD) has not yet been numerically resolved at the range of low energies, if not mentioning the lattice QCD for the moment. In order to reveal the nature of hadronic states, a lot of sophisticated phenomenological models are developed to separate the resonance from the overlapped background and coupled-channel effect. In this energy range of the non-perturbative Quantum Chromodynamics, the coupled-channel effect makes the analysis complicated and partial wave analysis (PWA) seems to be an useful tool of analyzing the baryonic and mesonic states. The scattering equation can be solved for each partial wave separately This PWA are proved to be a powerful tool to compare different models and experimental approaches with each other. In the following text we would like to show that several baryonic and mesonic states could be found in this scheme based on the experimental data
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