Extracting scattering phase shifts in higher partial waves from lattice QCD calculations

Luu, Thomas; Savage, Martin J.

doi:10.1103/PhysRevD.83.114508

Title: Extracting scattering phase shifts in higher partial waves from lattice QCD calculations

Journal Article · Wed Jun 01 00:00:00 EDT 2011 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.83.114508· OSTI ID:1068270

Luu, Thomas; Savage, Martin J.

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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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 1068270

Report Number(s):: LLNL-JRNL-472171; PRVDAQ

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 83, Issue 11; ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

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