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Axial charges of excited nucleons from CI-fermions

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arxiv 1202.2834 v1 pith:FGHKQDWR submitted 2012-02-13 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords axialchargechiralstatechargesexcitedlatticemodel
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We report lattice QCD results on the axial charges of ground and excited nucleon states of both parities. This is the first study of these quantities with approximately chiral (CI) fermions. Two energy levels in the range of the negative parity resonances N*(1535) and N*(1650) are observed and we determine the axial charge for both. We obtain a small axial charge for one of them, which is consistent with the chiral symmetry restoration in this state as well as with the small axial charge of the N*(1535) predicted within the quark model. This result agrees with the findings of Takahashi et al. obtained with Wilson quarks which violate chiral symmetry for finite lattice spacing. At the same time for the other observed negative parity state we obtain a large axial charge, that is close to the axial charge of the nucleon. This is in disagreement both with the quark model prediction as well as with the chiral restoration but allows for an interpretation as an s-wave {\pi} N state.

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