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Scattering in the pion-nucleon negative parity channel in lattice QCD

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arxiv 1212.5055 v2 pith:YV2EOWXA submitted 2012-12-20 hep-lat hep-phnucl-th

Scattering in the pion-nucleon negative parity channel in lattice QCD

classification hep-lat hep-phnucl-th
keywords latticenegativeparitymassoperatorspion-nucleonquarkquarks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the coupled pion-nucleon system (negative parity, isospin 1/2) based on a lattice QCD simulation for nf=2 mass degenerate light quarks. Both, standard 3-quarks baryon operators as well as meson-baryon (4+1)-quark operators are included. This is an exploratory study for just one lattice size and lattice spacing and at a pion mass of 266 MeV. Using the distillation method and variational analysis we determine energy levels of the lowest eigenstates. Comparison with the results of simple 3-quark correlation studies exhibits drastic differences and a new level appears. A clearer picture of the negative parity nucleon spectrum emerges. For the parameters of the simulation we may assume elastic s-wave scattering and can derive values of the phase shift.

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