Conclusion

We have applied the SHF+BCS method with the Skyrme parametrization SLy4 to study static fission barriers of the even-even Fm isotopes and the superheavy isotones of $N$=184. The overall qualitative agreement with existing experimental data for Fm isotopes is satisfactory. In particular, our SHF calculations explain the spectacular non-linear behavior of the observed spontaneous fission half-lives of the Fm isotopes. Further dynamical calculations are planned to pin down the competition between alpha decay and spontaneous fission in the heaviest and superheavy nuclei.