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M.F.M. Lutz 1 and E.E. Kolomeitsev 2 1 GSI,



The ground states of charmed baryons form an antitriplet and sextet representations of the SU(3) group. The s-wave interaction of the latter with the octet of Goldstone bosons is predicted by the chiral properties of QCD. The Clebsch-Gordon coefficients that describe the relative interaction strength of the various channels reflect the SU(3) multiplet structure of the hadron the Goldstone bosons are scattered off [1]. In the SU(3) limit the decomposition follows 8 ⊗ ¯3 = ¯3 ⊕ 6 ⊕ 15, 8 ⊗ 6 = ¯3 ⊕ 6 ⊕ 15 ⊕ 24. For 8⊗¯3 scattering the leading order chiral Lagrangian predicts attraction in the anti-triplet and sextet sectors, but repulsion for the anti-15plet. For 8 ⊗ 6 scattering there is attraction in the anti-triplet, sextet but also in the anti-15plet sectors. The interaction is repulsive in the 24plet sectors. Chiral SU(3) symmetry predicts a hierarchy o

Year: 2010
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