Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations

Details Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations

2011-01-17

arxiv.org/abs/1101.3347v1

Phys.Rev.D83:114508,2011

Physics

High Energy Physics

High Energy Physics - Lattice

79 pages, 41 figures

Scientific paper

10.1103/PhysRevD.83.114508

L\"uscher's method is routinely used to determine meson-meson, meson-baryon and baryon-baryon s-wave scattering amplitudes below inelastic thresholds from Lattice QCD calculations - presently at unphysical light-quark masses. In this work we review the formalism and develop the requisite expressions to extract phase-shifts describing meson-meson scattering in partial-waves with angular-momentum l<=6 and l=9. The implications of the underlying cubic symmetry, and strategies for extracting the phase-shifts from Lattice QCD calculations, are presented, along with a discussion of the signal-to-noise problem that afflicts the higher partial-waves.

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