We address consequences of strong tensor
terms in the local energy density functional, resulting
from fits to the
splittings in
Ca,
Ca, and
Ni. In this study, we focus on
the tensor contribution to the nuclear binding energy.
In particular, we show that it
exhibits interesting topological features closely
resembling that of the shell-correction. We demonstrate that in the
extreme single-particle scenario at spherical shape, the tensor
contribution shows tensorial magic numbers equal to
=14, 32,
56, and 90, and that this structure is smeared out due to
configuration mixing caused by pairing correlations and migration of
proton/neutron sub-shells with neutron/proton shell filling. Based
on a specific Skyrme-type functional SLy4
, we show that the
proton tensorial magic numbers shift with increasing neutron excess
to
=14, 28, and 50.