Abstract

The properties of finite nuclei and hyper nuclei are studied by using the chiral sigma model in the framework of the relativistic mean field theory. We reconstruct an extended chiral sigma model in which the omega meson mass is generated dynamically by the sigma condensation in the vacuum in the same way as the nucleon mass. We could demonstrate that the surface pion condensation is able to provide the appearance of the magic number at N = 28. We find that the energy dierences between the spin-orbit partners are reproduced by the finite pion mean field which is completely a dierent mechanism from the standard spinorbit interaction. We discuss also that this model naturally provides very small spin-orbit splitting in hyper nuclei.

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