Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Theta(+) pentaquark

摘要

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.