πN, KN, and K¯N scattering: Skyrme model versus experiment

We present a comprehensive partial-wave analysis of the processes πN→${\phi }_{\mathrm{PS}\mathrm{B}}$, KN→${\phi }_{\mathrm{PS}\mathrm{B}}$, and K¯N→${\phi }_{\mathrm{PS}\mathrm{B}}$ in the three-flavor Skyrme model, with ${\phi }_{\mathrm{PS}}$ an arbitrary pseudoscalar-octet meson and B a ${\mathrm{}(1/2)\mathrm{}}^{+}$ octet or ${\mathrm{}(3/2)\mathrm{}}^{+}$ decuplet baryon. Overall, we find good, poor, and mixed agreement, respectively, between the model and experiment for these three types of processes. We pay particular attention to assessing the independence of our results from the details of the Skyrme Lagrangian. We also examine the effect of including a third light flavor on the linear relations between experimental πN→πN and πN→πΔ partial-wave amplitudes that are predicted by two-flavor soliton models of the nucleon. Although the emphasis throughout is on a detailed qualitative comparison with nature, we also present Skyrme-model predictions for six processes such as πN→K${\Sigma }^{\mathrm{*}}$ and K¯N→ηΣ for which experimental partial-wave analyses are unavailable.