Influence of effective tensor forces on the fission barriers of nuclei in the uranium region

The influence of effective tensor forces on the fission barriers of nuclei in the uranium region has been studied. A modified Fayans energy density functional (EDF) FaNDF$^0$-a, which differs from the initial energy density functional FaNDF$^0$ in the inclusion of strong effective tensor interaction, has been proposed. For the $^{236}$U and $^{238}$U isotopes, this results in a significant, about $1$ MeV, reduction of the first barrier, approaching the values to the known experimental values. However, a noticeable, about the same order of magnitude, difference from these experimental values remains. Possible reasons for this remaining difference are discussed.