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

M Kohno,K Miyagawa

doi:10.1093/ptep/ptab115

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.

Highlights

New experimental information on the –nucleus interaction is increasing from analyses of experiments at J-PARC
–nucleus potential in a wide energy range. Another ongoing experiment to detect atomic level shifts by measuring electromagnetic transition spectra [4] is valuable for information on the
As shown in Ref. [11], the − single-particle potentials predicted for 9Be, 12C, and 14N by the improved local-density approximation (ILDA) method using the G-matrices in symmetric nuclear matter with the next-to-leading order (NLO) chiral interactions are rather shallow, but attractive enough to support hypernuclear bound states

Summary

Introduction

New experimental information on the –nucleus interaction is increasing from analyses of experiments at J-PARC. 2, the basic properties of chiral NLO N interactions are elucidated by presenting N phase shifts, and the results of the Faddeev calculations for searching a NN bound state. The corresponding attractive contribution to the single-particle potential in symmetric nuclear matter was presented in Fig. 2 of Ref. [11], the − single-particle potentials predicted for 9Be, 12C, and 14N by the ILDA method using the G-matrices in symmetric nuclear matter with the NLO chiral interactions are rather shallow, but attractive enough to support hypernuclear bound states. Bound states in 56Fe and atomic level shifts In applying the ILDA method [11] to generate the single-particle potential in 56Fe using G-matrices evaluated in symmetric nuclear matter, one has to beware that the 56Fe nucleus is asymmetric in the proton and neutron density distributions.

56Fe is seen to be about

Findings

Inoue ΞN only