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Octet baryon isovector charges from $N_f = 2 + 1$ lattice QCD
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abstract
We determine the axial, scalar and tensor isovector charges of the nucleon, sigma and cascade baryons as well as the difference between the up and down quark masses, $m_u-m_d$. We employ gauge ensembles with $N_f=2+1$ non-perturbatively improved Wilson fermions at six values of the lattice spacing in the range $a\approx (0.039 - 0.098) \,$fm, generated by the Coordinated Lattice Simulations (CLS) effort. The pion mass $M_\pi$ ranges from around $430 \, $MeV down to a near physical value of $130 \, $MeV and the linear spatial lattice extent $L$ varies from $6.5\,M_{\pi}^{-1}$ to $3.0\,M_{\pi}^{-1}$, where $L M_\pi \geq 4$ for the majority of the ensembles. This allows us to perform a controlled interpolation/extrapolation of the charges to the physical mass point in the infinite volume and continuum limit. Investigating SU(3) flavour symmetry, we find moderate symmetry breaking effects for the axial charges at the physical quark mass point, while no significant effects are found for the other charges within current uncertainties.
Forward citations
Cited by 5 Pith papers
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Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function
The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.
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Studies of nucleon isovector structure with the PACS10 superfine lattice
Lattice QCD on the PACS10 superfine ensemble yields nucleon axial, induced pseudoscalar, and pion-nucleon couplings consistent with experiment and prior lattice results, with no strong lattice-spacing dependence.
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Nucleon charges and $\sigma$-terms in lattice QCD
First-principles lattice QCD at the physical pion mass yields nucleon charges and sigma-terms in the continuum limit, with g_A^{u-d}=1.250(24) matching experiment.
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Weak charged current induced electron and positron scattering off proton at JLab and MAMI energies
Calculated cross sections and spin observables for weak charged-current e±+p scattering at JLab-MAMI energies, presented as benchmarks to extract the axial dipole mass and test G- and T-invariance.
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Nucleon axial, tensor, and scalar charges and $\sigma$-terms in lattice QCD
Continuum-limit nucleon charges and sigma-terms from physical-point lattice ensembles: the isovector axial charge is 1.250(24) and sigma_piN is 41.9(8.1) MeV, with a preliminary finer-lattice check.
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