We report on the result of some investigations concerning the radiative
decays of decuplet baryons and the non-leptonic weak decays of the octet
baryons in the context of topological chiral soliton models. Our results are
compared with those of alternative baryon models. For the radiative decays we
find that the predictions are similar to those of quark models. In the case of
the non-leptonic weak decays, we find that although the predicted S-wave
amplitudes are in rather good agreement with the observed values, the model is
not able to reproduce the empirical P-wave amplitudes. Thus, in contrast to
previous expectations, the Skyrme model does not seem to provide a solution to
the long-standing 'S-wave/P-wave puzzle'.Comment: 7 pages, 1 fig. Cont. to the Proc. of the "School on Electromagnetic
probes and the structure of hadrons and nuclei". Erice, Italy. September 17-
24, 1999 to be published in Progress in Particle and Nuclear Physic