Diquark-diquark correlations in the $^1S_0$ $ΛΛ$ potential

Details Diquark-diquark correlations in the $^1S_0$ $ΛΛ$ potential Diquark-diquark correlations in the $^1S_0$ $ΛΛ$ potential

2005-08-11

arxiv.org/abs/hep-ph/0508141v1

Phys.Rev. D72 (2005) 054008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.054008

We derive a $\Lambda \Lambda$ potential from a chiral constituent quark model that has been successful in describing one, two and three nonstrange baryon systems. The resulting interaction at low energy is attractive at all distances due to the $\sigma $ exchange term. The attraction allows for a slightly bound state just below the $\Lambda \Lambda $ threshold. No short-range repulsive core is found. We extract the diquark-diquark contribution that turns out to be the most attractive and probable at small distances. At large distances the asymptotic behavior of the $\Lambda \Lambda $ interaction provides a prediction for the $\sigma \Lambda \Lambda $ coupling constant.

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