Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
High Energy Physics - Lattice
2015-03-17 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1101.3347,
title = {Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations},
author = {Thomas Luu and Martin J. Savage},
journal= {arXiv preprint arXiv:1101.3347},
year = {2015}
}
Comments
79 pages, 41 figures