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arxiv: hep-ph/9909278 · v2 · submitted 1999-09-07 · ✦ hep-ph

One-pion transitions between heavy baryons in the constituent quark model

classification ✦ hep-ph
keywords wavetransitionsquarkconstituentheavymodelbaryonsone-pion
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Single pion transitions of S wave to S wave, P wave to S wave and P wave to P wave heavy baryons are analyzed in the framework of the Heavy Quark Symmetry limit (HQS). We use a constituent quark model picture for the light diquark system with an underlying SU(2N_{f}) X O(3) symmetry to reduce the number of the HQS coupling factors required to describe these transitions. We also use the quantum theory of angular momentum to rewrite the one-pion transitions constituent quark model results in a more general form using the 6j- and 9j-symbols. We finally estimate the decay rates of some single pion transitions between charm baryon states.

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