The effect of the tensor force on the predicted stability of superheavy nuclei

The effect of the tensor component of the Skyrme effective nucleon-nucleon interaction on the single-particle structure in superheavy elements is studied. A selection of the available Skyrme forces has been chosen and their predictions for the proton and neutron shell closures investigated. The inclusion of the tensor term with realistic coupling strength parameters leads to a small increase in the spin-orbit splitting between the proton $2f_{7/2}$ and $2f_{5/2}$ partners, opening the Z = 114 shell gap over a wide range of nuclei. The Z = 126 shell gap, predicted by these models in the absence of the tensor term, is found to be stongly dependent on neutron number with a Z = 138 gap opening for large neutron numbers, having a consequent implication for the synthesis of neutron-rich superheavy elements. The predicted neutron shell structures remain largely unchanged by inclusion of the tensor component