We introduce a stochastic method with low-mode substitution to evaluate the connected three-point functions. The isovector matrix elements of the nucleon for the axial-vector coupling g3A, scalar couplings g3S and the quark momentum fraction ⟨xu−d are calculated with overlap fermion on 2 + 1 flavor domain-wall configurations on a 243 × 64 lattice at mπ = 330  MeV with lattice spacing a = 0.114  fm.

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Published in Physical Review D, v. 93, issue 3, 034503, p. 1-15.

© 2016 American Physical Society

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The authors of this article are collectively known as χQCD Collaboration.

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This work is supported in part by the U.S. Department of Energy under Grants No. DE-FG05-84ER40154, and No. DE-SC0013065. A. A. acknowledges the support of NSF CAREER through Grant No. PHY-1151648. M. G. is partially supported by the National Science Foundation of China (NSFC) under the Project No. 11405178 and the Youth Innovation Promotion Association of CAS (2015013). This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575.