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A separable potential model is constructed to describe the coupled ΣN-AN systems. From this the Σ single particle potential is developed including Pauli effects. The momentum space Schroedinger equation is then solved self-consistently for the complex eigenvalues of 1s and lp state Σ° hypernuclei. Arising from two quite distinct mechanisms these states are all found to be long lived. In s-states, Pauli suppression of the ΣN->AN conversion reduces the widths by as much as 50% from classical estimates in heavy nuclei, and in light nuclei produces widths as small as 1.8 MeV inΣ[sub=o;sup=5]He. In p-states, Pauli effects are relatively unimportant and the strong absorption of the potential creates extremely narrow quasi-bound states in the Σ continuum. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

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Thesis (MSc)--University of Stellenbosch, 2007. / Bibliography. Also available via the Internet.

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Thesis (MSc (Physics))--University of Stellenbosch, 2007. / In this thesis we present a relativistic formalism for the description of hypernuclei production via the weak interaction. It will be shown that the cross section can be written as the contraction of a leptonic and hadronic tensor if we model the interaction as a quasifree process. The hadronic tensor is written in a model-independent way in terms of thirteen nuclear structure functions. A Born term model is used to describe the underlying elementary hyperon production process. The bound state wave functions of the hyperon and nucleon are calculated within a relativistic mean-field approximation. Together with the relativistic kinematics a fully relativistic framework for experimental predictions is constructed and a specific cross section calculation is discussed.