Hyperon properties in finite nuclei using realistic $YN$ interactions

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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31 pages, LateX, includes 4 PostScript figures, (submitted to Nucl. Phys. A)

Scientific paper

10.1016/S0375-9474(98)00599-5

Single-particle energies of the $\Lambda$ and $\Sigma$ hyperons are obtained from the relevant self-energies. The latter are constructed within the framework of a perturbative many-body approach employing present realistic hyperon-nucleon interactions such as the models of the Juelich and Nijmegen groups. The effects of the non-locality and energy dependence of the self-energy on the bound states are investi- gated. It is also shown that, although the single-particle hyperon energies are well reproduced by local Woods-Saxon hyperon-nucleus potentials, the wave functions from the non-local self-energy are far more extended. Implications of this behavior on the mesonic weak decay of $\Lambda$ hypernuclei are discused.

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