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arxiv: hep-ph/0510055 · v2 · submitted 2005-10-05 · ✦ hep-ph · hep-ex· hep-th· nucl-ex· nucl-th

Bound State versus Collective Coordinate Approaches in Chiral Soliton Models and the Width of the Theta^+ Pentaquark

classification ✦ hep-ph hep-exhep-thnucl-exnucl-th
keywords approachesboundchiralstatethetasolitonapproachbackground
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We thoroughly compare the bound state and rigid rotator approaches to three--flavored chiral solitons. We establish that these two approaches yield identical results for the baryon spectrum and kaon--nucleon $S$--matrix in the limit that the number of colors ($N_C$) tends to infinity. After proper subtraction of the background phase shift the bound state approach indeed exhibits a clear resonance behavior in the strangeness $S=+1$ channel. We present a first dynamical calculation of the widths of the $\Theta^+$ and $\Theta^*$ pentaquarks for finite $N_C$ in a chiral soliton model.

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