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arxiv: 1605.04108 · v1 · pith:JADAWOSDnew · submitted 2016-05-13 · ✦ hep-ph · nucl-th

Deeply bound Xi tribaryon

classification ✦ hep-ph nucl-th
keywords fracstateboundsystemdecaydeeplylambdabelow
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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.

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