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.

Comments: to appear in the proceedings of APFB2020