Abstract
We present the first lattice QCD study of coupled isoscalar - and -wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the light quark mass corresponding to . In the sector we find analogues of the experimental and states, where the appears as a stable bound-state below threshold, and, similar to what is seen in experiment, the manifests itself as a dip in the cross section in the vicinity of the threshold. For we find two states resembling the and , observed as narrow peaks, with the lighter state dominantly decaying to and the heavier state to . The presence of all these states is determined rigorously by finding the pole singularity content of scattering amplitudes, and their couplings to decay channels are established using the residues of the poles.
17 More- Received 28 August 2017
DOI:https://doi.org/10.1103/PhysRevD.97.054513
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Published by the American Physical Society