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Bound State versus Collective Coordinate Approaches in Chiral Soliton Models and the Width of the $\Theta^+$ Pentaquark
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abstract
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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Cited by 1 Pith paper
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Generalized Collective Coordinate Quantization of Solitons with Topological Terms
A generalized collective coordinate quantization with a three-way zero mode classification removes the theta+ pentaquark from the SU(3) Skyrme model spectrum, leaving only the nucleon octet and Delta decuplet.
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