Abstract
Lattice QCD approach to study the hadronic resonances and exotic hadrons is described at an introductory level. The main challenge is that these states decay strongly via one or more decay channels, and they often lie near thersholds. Specific results for conventional and exotic hadrons are shown to illustrate the current status.
Highlights
Lattice QCD provides very accurate and reliable results for hadrons that lie well below strong-decay threshold and do not decay strongly
Lattice QCD approach to study the hadronic resonances and exotic hadrons is described at an introductory level
The main challenge is that these states decay strongly via one or more decay channels, and they often lie near thersholds
Summary
Lattice QCD provides very accurate and reliable results for hadrons that lie well below strong-decay threshold and do not decay strongly. The lattice community provided rigorous results for the resonances that can decay strongly via one-decay channel R → H1H2. Interesting shallow bound states that lie just below H1H2 threshold were investigated. Both require the simulation of H1H2 scattering and extraction of the underlying scattering matrix. A resonance that can strongly decay to several channels presents an even more challenging problem, which implies for the majority of the exotic hadrons. I illustrate the lattice approach to this problem in the introductory manner. Few selected results are shown to illustrate various types of cases, while this is not a review of available results
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