Deeply bound $\Xi$ tribaryon

TL;DR

This paper predicts a deeply bound $ ext{Xi}NN$ state using realistic interactions, suggesting a narrow decay width, and compares it with quark-model results, advancing understanding of strangeness -2 systems.

Contribution

It provides the first calculation of a deeply bound $ ext{Xi}NN$ state with realistic potentials and compares it to quark-model predictions.

Findings

$ ext{Xi}NN$ system is deeply bound 13.5 MeV below $ ext{Xi}d$ threshold.

Decay width is expected to be very small due to S-wave configuration.

Comparison with quark-model potentials shows consistency in results.

Abstract

We have used realistic local interactions based on the recent update of the strangeness $-2$ Nijmegen ESC08c potential to calculate the bound state problem of the $\Xi NN$ system in the $(I)J^P=(\frac{1}{2})\frac{3}{2}^+$ state. We found that this system presents a deeply bound state lying $13.5$ MeV below the $\Xi d$ threshold. Since in lowest order, pure S$-$wave configuration, this system can not decay into the open $\Lambda\Lambda N$ channel, its decay width is expected to be very small. We have also recalculated the $(I)J^P=(\frac{3}{2})\frac{1}{2}^+$ state and we have compared with results of quark-model based potentials.