  [Background] While the tensor interaction has been shown to significantly
affect the nuclear structure of exotic nuclei, its influence on nuclear
reactions has only recently been investigated. The primary reason for this
neglect is the fact that most studies of nuclear dynamics do not include the
tensor force at all in their models. Indeed, only a few Skyrme parametrizations
consider the tensor interaction in parameter determination. With modern
research facilities extending our ability to probe exotic nuclei, a correct
description of nuclear dynamics and heavy-ion fusion is vital to both
supporting and leading experimental efforts.
  [Method] Fusion cross sections are calculated using ion-ion potentials
generated by the fully microscopic density-constrained time-dependent
Hartree-Fock (DC-TDHF) method with the complete Skyrme tensor interaction.
  [Results] For light nuclei, the tensor force only slightly changes the
sub-barrier fusion cross sections at very low energies. Heavier nuclei,
however, begin to exhibit a substantial hindrance effect in the sub-barrier
region. This effect is strongest in spin-unsaturated systems, though can
manifest in other configurations as well. Static, ground state deformation
effects of the tensor force can also affect cross sections by shifting the
fusion barrier.
  [Conclusions] The tensor interaction has a measurable effect on the fusion
cross sections of nuclei spanning the nuclear chart. The effect comes from both
static effects present in the ground state and dynamic processes arising from
the time evolution of the system. This motivates the development of a modern
Skyrme parameter set that includes all time-odd and tensor terms and that
studies moving forward should include the tensor force to ensure a more robust
and complete description of nuclei.
