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A framework for exploring the interactions and decays of hyperons with lattice QCD

2004; Elsevier BV; Volume: 747; Issue: 1 Linguagem: Inglês

10.1016/j.nuclphysa.2004.09.081

1873-1554

Silas R. Beane, Paulo F. Bedaque, A. Parreño, Martin J. Savage,

High-Energy Particle Collisions Research

In this work we outline a program for lattice QCD that would greatly contribute to understanding the strong and weak interactions of strange baryons. The low-energy effective field theory describing hyperon–nucleon scattering in QCD and partially-quenched QCD is constructed. This framework will allow lattice simulations of the low-energy scattering parameters to be extrapolated to the physical values of the quark masses. We explore the long-standing discrepancies in the P-wave amplitudes for non-leptonic hyperon decays using two-flavor chiral perturbation theory, and emphasize that the problem is not merely an artifact of perturbing about the chiral limit of the three-flavour theory. As energy is not conserved in the lattice simulation of the Λ→N two-point function, we include the surface terms in the effective field theory required to determine the underlying weak amplitude.