Deeply bound $\Xi$ tribaryon

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.

10 pages

References in corpus (4)

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• Coupled channel approach to strangeness S = -2 baryon-bayron interactions in Lattice QCD
• Extended-soft-core Baryon-Baryon ESC08 model III. S=-2 Hyperon-hyperon/nucleon Interaction
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