We address consequences of strong tensor
terms in the local energy density functional, resulting
from fits to the
![$ f_{5/2} - f_{7/2}$](img14.png)
splittings in
![$ ^{40}$](img4.png)
Ca,
![$ ^{48}$](img6.png)
Ca, and
![$ ^{56}$](img5.png)
Ni. In this study, we focus on
the tensor contribution to the nuclear binding energy.
In particular, we show that it
exhibits interesting topological features closely
resembling that of the shell-correction. We demonstrate that in the
extreme single-particle scenario at spherical shape, the tensor
contribution shows tensorial magic numbers equal to
![$ N(Z)$](img15.png)
=14, 32,
56, and 90, and that this structure is smeared out due to
configuration mixing caused by pairing correlations and migration of
proton/neutron sub-shells with neutron/proton shell filling. Based
on a specific Skyrme-type functional SLy4
![$ _T$](img12.png)
, we show that the
proton tensorial magic numbers shift with increasing neutron excess
to
![$ Z$](img16.png)
=14, 28, and 50.