Hadron Resonances from QCD

I describe how hadron-hadron scattering amplitudes are related to the eigenstates of QCD in a finite cubic volume. The discrete spectrum of such eigenstates can be determined from correlation functions computed using lattice QCD, and the corresponding scattering amplitudes extracted. I review result...

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Bibliographic Details
Main Author: Dudek, Jozef J.
Format: Conference Proceeding
Language:English
Subjects:
Amplitudes
Eigenvectors
Elastic scattering
Finite volume method
Form factors
Quantum chromodynamics
Resonance scattering
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Summary:I describe how hadron-hadron scattering amplitudes are related to the eigenstates of QCD in a finite cubic volume. The discrete spectrum of such eigenstates can be determined from correlation functions computed using lattice QCD, and the corresponding scattering amplitudes extracted. I review results from the Hadron Spectrum Collaboration who have used these finite volume methods to study ππ elastic scattering, including the ρ resonance, as well as coupled-channel πK, ηK scattering. The very recent extension to the case where an external current acts is also presented, considering the reaction πγ* → ππ, from which the unstable ρ → πγ transition form factor is extracted. Ongoing calculations are advertised and the outlook for finite volume approaches is presented.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201611301001