Sigma hypernuclei: a microscopic model

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Abstract
Constructs a coupled-channels, separable potential model of the low-energy Sigma N- Lambda N system. From this the authors calculate the Sigma single-particle potential, including Pauli effects. The volume integral of this potential is in remarkably good agreement with that found in a phenomenological analysis of Sigma atoms by Batty (1979). Finally, they solve the momentum-space Schrodinger equation to find the (self-consistent) complex eigenvalue in the 1s state for a number of light nuclei. The resulting states are quite long lived, with widths ranging from 1.8 MeV in Sigma 05He to 12.5 MeV in Sigma 016O. Experimental confirmation of these predictions would be extremely valuable.