2003/11/07 by Silas R. Beane, S. R. Beane, P. F. Bedaque +5 · 4 citations
Physics and Astronomy · #Amplitude #Baryon #Chiral perturbation theory #Effective field theory #High-Energy Particle Collisions Research #Hyperon #Lattice (music) #Lattice QCD #Lattice field theory #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Scattering #Scattering amplitude #Theoretical physics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.nuclphysa.2004.09.081
published as Nucl.Phys.A747:55-74,2005 · 24 pages, 7 figures
arxiv created 2003/11/07 · openalex publication_date 2004/10/13 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information regarding the structure and weak decays of light nuclei containing one or two Lambda's, and Sigma's. From a theoretical standpoint, little is known about the hyperon-nucleon interaction, which is required input for systematic calculations of hypernuclear structure. Furthermore, the long-standing discrepancies in the P-wave amplitudes for nonleptonic hyperon decays remain to be understood, and their resolution is central to a better understanding of the weak decays of hypernuclei. We present a framework that utilizes Luscher's finite-volume techniques in lattice QCD to extract the scattering length and effective range for Lambda-N scattering in both QCD and partially-quenched QCD. The effective theory describing the nonleptonic decays of hyperons using isospin symmetry alone, appropriate for lattice calculations, is constructed.