$\Xi$ hyper-nuclear states predicted by NLO chiral baryon-baryon interactions

M. Kohno; K. Miyagawa

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arXiv · 2107.03784

$\Xi$ hyper-nuclear states predicted by NLO chiral baryon-baryon interactions

M. Kohno·K. Miyagawa

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Abstract

The $\Xi$ 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 $\Xi N$ 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 $^{14}$N are revisited because of the recent experimental progress, including the discussion on the $\Xi N$ spin-orbit interaction that is relevant to the location of the $p$-state. Then the $\Xi$ levels in $^{56}$Fe 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.

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M. Kohno, K. Miyagawa. 2021-07-08. $\Xi$ hyper-nuclear states predicted by NLO chiral baryon-baryon interactions. https://arxiv.org/abs/2107.03784

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