Ξ hypernuclear states predicted by next-to-leading-order chiral baryon-baryon interactions

The Xi single-particle potential obtained in nuclear matter with 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 Xi N elastic scattering and the results of Faddeev calculations for the Xi NN bound state problem are presented to show the properties of the Xi N interactions in the present parametrization. First, the Xi states in N-14 are revisited because of recent experimental progress, including discussion on the Xi N spin-orbit interaction that is relevant to the location of the p-state. Then the Xi levels in Fe-56 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 Xi single-particle potential is explicitly demonstrated.