A Realistic Approach to the $\hat{I}žNN$ Bound-State Problem based on Faddeev Equation

Abstract

The Faddeev equations for the $\hat{I}žNN$ 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 $T_{\hat{I}žN,\hat{I}žN}$ obtained within the original $\hat{I}›\hat{I}›$-$\hat{I}žN$-$\hat{I}\pounds \hat{I}\pounds$ $/$ $\hat{I}žN$-$\hat{I}›\hat{I}\pounds$-$\hat{I}\pounds \hat{I}\pounds$ 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 $(T,J^{\ddot{I}}€)=(1/2,3/2^{+})$ where the decays into $\hat{I}›\hat{I}›N$ are suppressed.

to appear in the proceedings of APFB2020