Ξ hypernuclear states predicted by next-to-leading-order chiral baryon–baryon interactions. (4th September 2021)

• Record Type: Journal Article
• Authors: Kohno, M; Miyagawa, K
• Is Part Of: Progress of theoretical and experimental physics. Volume 2021:Number 10(2021)
• Publication Date: 2021-09-04
• Subjects: D14; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptab115
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: 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 $^{14}$ N 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 $^{56}$ 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.