The emission widths {\Gamma }_n and {\Gamma }_p for emission of neutrons and protons are calculated within the Thomas--Fermi model, which we have recently developped, and are compared with those obtained in the usual Weisskopf approach for the case of zero angular momentum. Both methods yield quite similar results at small deformations, but rather important differences are observed for very deformed shapes, in particular for charged particles. A possible generalization of the model for emission of \alpha -particles is also discussed.

PACS numbers: 24.60.Dr, 24.60.--k, 24.75.+i