Lattice computation of the nucleon scalar quark contents at the physical point

Abstract

We present a QCD calculation of the $u$, $d$ and $s$ scalar quark contents of nucleons based on $47$ lattice ensembles with $N_f=2+1$ dynamical sea quarks, $5$ lattice spacings down to $0.054\text{fm}$, lattice sizes up to $6\text{fm}$ and pion masses down to $120\text{MeV}$. Using the Feynman-Hellmann theorem, we obtain $f_{ud}^N=0.0405(40)(35)$ and $f_s^N=0.113(45)(40)$, which translates into ${\sigma }_{\pi N}=38(3)(3)\text{MeV}$, ${\sigma }_{sN}=105(41)(37)\text{MeV}$ and $y_N=0.20(8)(8)$ for the sigma terms and the related ratio, where the first errors are statistical and the second 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).

arXiv comment6 pages, 2 figures

References in corpus (30)

• Big-Bang Nucleosynthesis
• Ab-initio Determination of Light Hadron Masses
• Ab initio calculation of the neutron-proton mass difference
• Re-Evaluation of the Elastic Scattering of Supersymmetric Dark Matter
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Chiral expansion of baryon masses and $\sigma$-terms
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• The Scalar Strange Content of the Nucleon from Lattice QCD
• Finite volume effects for meson masses and decay constants
• Lattice QCD at the physical point: Simulation and analysis details
• Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
• Sigma term and strangeness content of octet baryons
• The strange quark condensate in the nucleon in 2+1 flavor QCD
• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• The intrinsic strangeness and charm of the nucleon using improved staggered fermions
• The low-lying baryon spectrum with two dynamical twisted mass fermions
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Hyperon sigma terms for 2+1 quark flavours
• The strange and light quark contributions to the nucleon mass from Lattice QCD
• Sigma terms from an SU(3) chiral extrapolation
• Scalar strangeness content of the nucleon and baryon sigma terms
• Exploring strange nucleon form factors on the lattice
• Scaling study of dynamical smeared-link clover fermions
• Nucleon strange quark content from two-flavor lattice QCD with exact chiral symmetry
• On finite volume effects in the chiral extrapolation of baryon masses
• On the analysis of the pion--nucleon $\sigma$--term: The size of the remainder at the Cheng--Dashen point
• The pion and proton mass in finite volume
• Theoretical aspects of Chiral Dynamics
• Sigma-terms in heavy baryon chiral perturbation theory revisited

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