Fission Barriers at High Angular Momentum and the Ground State Rotational Band of the NucleusN254o

We study the superheavy nucleus ${}^{254}\mathrm{No}$ in the framework of the Hartree-Fock-Bogoliubov approximation with the finite-range density-dependent Gogny force, at zero and high angular momentum. The properties of the ground state rotational band and the fission barriers are discussed as a function of angular momentum. We found a two-humped barrier up to spin values of $(30–40)ħ$ and a one-humped barrier for higher spins. We reproduce fairly well with the binding energy, the ground state deformation, the $\gamma -\mathrm{ray}$ energies, and the bound on the fission barrier height measured at high spin.