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Nucleon scattering from lattice QCD
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Nucleon scattering from lattice QCD
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Recent results from lattice QCD on baryon resonances and meson-baryon, baryon-baryon scattering are presented. Such scattering processes and resonances can be determined in lattice QCD by first obtaining the finite-volume energy spectrum of stationary states involving meson-baryon and baryon-baryon systems. A well-known quantization condition involving the scattering $K$-matrix and a complicated ``box matrix'' also yields a finite-volume energy spectrum. By appropriately parametrizing the scattering $K$-matrix, the best fit values of the $K$-matrix parameters are those which produce a finite-volume spectrum which best matches that obtained from lattice QCD. The $\Delta$ resonance, a recent study of the two-pole nature of scattering near the $\Lambda(1405)$, and $NN$ scattering in the $SU(3)$ flavor limit are highlighted.
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Cited by 1 Pith paper
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Higher order quantization conditions for two-body scattering with spin
Higher-order finite-volume quantization conditions for spin-1/2 + spin-0 scattering are derived to J=11/2 and numerically checked to agree with independent box spectra to six significant figures.
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