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Excited State Effects in Nucleon Matrix Element Calculations

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arxiv 1112.2931 v1 pith:ITI5ZPIQ submitted 2011-12-13 hep-lat

Excited State Effects in Nucleon Matrix Element Calculations

classification hep-lat
keywords nucleonmatrixelementscalculationsexcitedmethodresultsaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform a high-statistics precision calculation of nucleon matrix elements using an open sink method allowing us to explore a wide range of sink-source time separations. In this way the influence of excited states of nucleon matrix elements can be studied. As particular examples we present results for the nucleon axial charge $g_A$ and for the first moment of the isovector unpolarized parton distribution $<x>_{u-d}$. In addition, we report on preliminary results using the generalized eigenvalue method for nucleon matrix elements. All calculations are performed using $N_f=2+1+1$ maximally twisted mass Wilson fermions.

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