The Ξ single-particle potential obtained in nuclear matter with the next-to-leading order baryon-baryon interactions in chiral effective field theory is applied to finite nuclei by an improved local-density approximation method.… Click to show full abstract
The Ξ single-particle potential obtained in nuclear matter with the next-to-leading order baryon-baryon interactions in chiral effective field theory is applied to finite nuclei by an improved local-density approximation method. As a premise, phase shifts of ΞN elastic scattering and the results of Faddeev calculations for the ΞNN bound state problem are presented to show the properties of the ΞN interactions in the present parametrization. First, the Ξ states in 14N are revisited because of the recent experimental progress, including the discussion on the ΞN spin-orbit interaction that is relevant to the location of the p-state. Then the Ξ levels in 56Fe are calculated. In particular, the level shift which is expected to be measured experimentally in the near future is predicted. The smallness of the imaginary part of the Ξ single-particle potential is explicitly demonstrated.
               
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