Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-11-07
Nucl.Phys. A747 (2005) 55-74
Physics
Nuclear Physics
Nuclear Theory
24 pages, 7 figures
Scientific paper
10.1016/j.nuclphysa.2004.09.081
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.
Beane Silas R.
Bedaque Paulo F.
Parreno Assumpta
Savage Martin J.
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