A Realistic Approach to the $\Xi NN$ Bound-State Problem based on Faddeev Equation

Abstract

The Faddeev equations for the $\Xi NN$ bound-state problem are solved where the three $S$=$-2$ baryon-baryon interactions of Jülich-Bonn-München chiral EFT, HAL QCD and Nijmegen ESC08c are used. The $T$-matrix $T_{\Xi N,\Xi N}$ obtained within the original $\Lambda \Lambda$-$\Xi N$-$\Sigma \Sigma$ $/$ $\Xi N$-$\Lambda \Sigma$-$\Sigma \Sigma$ coupled-channel framework is employed as an input to the equations. We found no bound state for Jülich-Bonn-München chiral EFT and HAL QCD but ESC08c generates a bound state with the total isospin and spin-parity $(T,J^{\pi })=(1/2,3/2^{+})$ where the decays into $\Lambda \Lambda N$ are suppressed.

arXiv commentto appear in the proceedings of APFB2020

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Cited by in corpus (3)

• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• $\Xi NN$ three-baryon force from SU(3) chiral effective field theory: A femtoscopic study
• Theoretical study of the $\Xi \alpha$ correlation function