Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point

S. Durr, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, L. Lellouch, T. Lippert, T. Metivet, A. Portelli, K. K. Szabo, C. Torrero, B. C. Toth, L. Varnhorst

Research output: Contribution to journalArticlepeer-review

Abstract

We present a QCD calculation of the u , d , and s scalar quark contents of nucleons based on 47 lattice ensembles with Nf=2 +1 dynamical sea quarks, 5 lattice spacings down to 0.054 fm, lattice sizes up to 6 fm, and pion masses down to 120 MeV. Using the Feynman-Hellmann theorem, we obtain fud N=0.0405 (40 )(35 ) and fsN=0.113 (45 )(40 ), which translates into σπ N=38 (3 )(3 ) MeV , σs N=105 (41 )(37 ) MeV , and yN=0.20 (8 )(8 ) for the sigma terms and the related ratio, where the first errors are statistical and the second errors are systematic. Using isospin relations, we also compute the individual up and down quark contents of the proton and neutron (results in the main text).
Original languageEnglish
Pages (from-to)172001
JournalPhysical Review Letters
Volume116
Issue number17
DOIs
Publication statusPublished - 28 Apr 2016

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