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

2011/01/17 by Thomas Luu, Martin J. Savage · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.83.114508

published as Phys.Rev.D83:114508,2011 · 79 pages, 41 figures

arxiv created 2011/01/17 · arxiv updated 2015/03/17

Abstract

Lüscher'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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