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Pion scattering in the isospin I=2 channel from elongated lattices

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arxiv 1905.10202 v1 pith:7CUR7KNW submitted 2019-05-24 hep-lat hep-phnucl-th

Pion scattering in the isospin I=2 channel from elongated lattices

classification hep-lat hep-phnucl-th
keywords scatteringchannelelongatedextractedisospinlatticelatticesmasses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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