Fission barriers in the SHF+BCS model

In our SHF+BCS model, we have used the energy density functional with the Skyrme interaction SLy4[13] and the pairing force strengths defined as in Ref.[14]. Additionally, for the deformed SHE with $100\leq Z \leq 110$, the pairing strengths have been scaled to reproduce the experimental[15] neutron (0.696 MeV) and proton (0.803 MeV) pairing gaps in $^{252}$Fm. For the superheavy isotones with $N$=184, whose experimental nuclear masses are unknown, the pairing strengths have been scaled to reproduce the pairing gaps of the finite-range droplet model (FRDM)[16].

For all nuclei considered, a self-consistent total binding energy ( $E^{\mbox{\scriptsize {tot}}}$) is computed with a quadratic constraint[17] on the mass quadrupole moment $Q_{20}$. Our study covers the prolate deformations $Q_{20}= 0\div 300$b (barns) with a step of 10b for prolate deformed SHE and the oblate/prolate deformations $Q_{20}= -30\div 300$b in the case of spherical SHE. To fix the position of the nucleus center of mass, an additional constraint on the mass dipole moment, $Q_{10}= 0$, is assumed.