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Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark

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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 (NC) 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 Θ+ and Θ* pentaquarks for finite NC in a chiral soliton model.

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  1. Fachbereich Physik, Siegen University, D-57068, Siegen, Germany

    H. Walliser & H. Weigel

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  1. H. Walliser
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  2. H. Weigel
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U.-G. Meißner

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Walliser, H., Weigel, H. Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark. Eur. Phys. J. A 26, 361–382 (2005). https://doi.org/10.1140/epja/i2005-10180-5

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