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Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
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abstract
We apply a formalism inspired by heavy baryon chiral perturbation theory with finite-range regularization to dynamical $2+1-$flavor CSSM/QCDSF/UKQCD Collaboration lattice QCD simulation results for the electric form factors of the octet baryons. The electric form factor of each octet baryon is extrapolated to the physical pseudoscalar masses, after finite-volume corrections have been applied, at six fixed values of $Q^2$ in the range 0.2-1.3 GeV$^2$. The extrapolated lattice results accurately reproduce the experimental form factors of the nucleon at the physical point, indicating that omitted disconnected quark loop contributions are small. Furthermore, using the results of a recent lattice study of the magnetic form factors, we determine the ratio $\mu_p G^p_E/G^p_M$. This quantity decreases with $Q^2$ in a way qualitatively consistent with recent experimental results.
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Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third or...
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