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

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arxiv 1101.3347 v1 pith:MWGRLAYM submitted 2011-01-17 hep-lat hep-phnucl-th

Thomas Luu , Martin J. Savage This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords calculationslatticepartial-wavesphase-shiftsscatteringextractinghighermeson-meson
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

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    hep-lat 2026-02 accept novelty 7.0 of 10

    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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    hep-lat 2025-01 conditional novelty 7.0 of 10

    Using lattice QCD with 3 to 6 colors and four quark flavors, the paper measures pion-pion scattering phase shifts and finds evidence consistent with a virtual bound state in one channel at three colors.

  3. Block Lanczos algorithm for lattice QCD spectroscopy and matrix elements

    hep-lat 2024-12 conditional novelty 7.0 of 10

    Block Lanczos is shown to generalize the GEVP method for lattice QCD correlator matrices, providing faster convergence, two-sided error bounds, and improved signal-to-noise.

  4. Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO

    nucl-th 2025-07 conditional novelty 6.0 of 10

    A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.

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