  In the framework of a Skyrme-Hartree-Fock approach combined with BCS method,
the role of the tensor force on the pseudospin energy splitting for tin isotope
chain is investigated. The tensor force turns out to obviously affect the
pseudospin energy splitting of the spin-unsaturated nuclei. Since the tensor
force shifts the single-particle levels, it modifies the single-particle level
density and the shell correction energy thereof. The influence of the tensor
interaction on shell correction energy is considerable according to our
analysis taking a magic nucleus $^{132}$Sn as well as a superheavy nucleus
$^{298}114$ as examples. This modification of the shell correction energy due
to the tensor component affects the stability of the superheavy nuclei.
