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.
Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
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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.
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Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO
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.