Removal of Ambiguities in anS-Matrix Analysis

Abstract

In general, an $S$-matrix or phase-shift analysis yields several ambiguous solutions that give identical fits to the data. Computer studies of a simple system involving only a few resonances suggest that the unphysical solutions show characteristic correlations (pseudoresonances) in different partial waves near a true resonance in one partial wave. Therefore, the physical solution requires the fewest resonant states. We apply this criterion to an analysis of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(d,{\alpha }_1){}_{}{}^{14}{}_{}{}^{}\mathrm{N}$.