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arXiv:1111.1600·v2·High Energy Physics — Lattice

The strange and light quark contributions to the nucleon mass from Lattice QCD

Gunnar S. Bali🇩🇪 · Sara Collins🇩🇪 · Meinulf Gockeler🇩🇪 · Roger Horsley🇬🇧 · Yoshifumi Nakamura🇯🇵 · Andrea Nobile🇩🇪 · Dirk Pleiter🇩🇪 · P. E. L. Rakow🇬🇧 · Andreas Schafer🇩🇪 · Gerrit Schierholz🇩🇪 · Andre Sternbeck🇩🇪 · James M. Zanotti (QCDSF Collaboration)🇦🇺

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Abstract

We determine the strangeness and light quark fractions of the nucleon mass by computing the quark line connected and disconnected contributions to the matrix elements m_q <N|qbar q|N> in lattice QCD, using the non-perturbatively improved Sheikholeslami-Wohlert Wilson Fermionic action. We simulate n_F=2 mass degenerate sea quarks with a pion mass of about 285 MeV and a lattice spacing a approx 0.073 fm. The renormalization of the matrix elements involves mixing between contributions from different quark flavours. The pion-nucleon sigma-term is extrapolated to physical quark masses exploiting the sea quark mass dependence of the nucleon mass. We obtain the renormalized values \sigma_{\pi N} = 38(12) MeV at the physical point and f_{T_s}=\sigma_s/m_N= 0.012(14)^{+10}_{-3} for the strangeness contribution at our larger than physical sea quark mass.

Comments: 11 pages, 7 figures, v2: 1 reference added, some corrections

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