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

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

2005-10-05

arxiv.org/abs/hep-ph/0510055v2

Eur.Phys.J. A26 (2005) 361-382

Physics

High Energy Physics

High Energy Physics - Phenomenology

minor language changes, version to be published in Eur. Phys. J. A

Scientific paper

10.1140/epja/i2005-10180-5

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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