The dependence of the half-lives for proton emission from deformed nuclei is studied for the different single particle potentials known in the literature, that describe standard nuclear structure properties. As an example, ground state and isomeric decays of ${}^{131}\mathrm{Eu}$ and ${}^{141}\mathrm{Ho}$ will be considered, since they are well deformed exotic nuclei for which the experimental data are very precise. In order to reproduce the experimental decay rates and properties of the decaying deformed nuclei, the interactions must have the spin-orbit term treated as deformed and a large radius parameter, $r_0\approx 1.24-1.275\hspace{0.5em}\mathrm{fm}.$ Most parts of the parameterizations are in this limit, and reproduce the decay widths, with the correct deformation, in a range of values within experimental uncertainties. The Becchetti-Greenlees [15] one is an exception, with $r_0=1.17\mathrm{}\hspace{0.5em}\mathrm{fm},$ and is unable to reproduce the data.

• Received 11 September 2001

DOI:https://doi.org/10.1103/PhysRevC.65.024323