For coupled-channel systems, the trapped integrated correlation function difference converges to a weighted integral over the sum of the two channel phase shifts, independent of inelasticity.
Pion scattering in the isospin I=2 channel from elongated lattices
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abstract
Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our calculations match the experimental results.
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Toward extracting scattering phase shift from integrated correlation functions III: coupled-channels
For coupled-channel systems, the trapped integrated correlation function difference converges to a weighted integral over the sum of the two channel phase shifts, independent of inelasticity.