  Tensor effects on the N=40 gap evolution of N=40 isotones are studied by
employing the Skyrme-Hartree-Fock-Bogoliubov (SHFB) and relativistic
Hartree-Fock-Bogoliubov (RHFB) theories. The results with and without the
inclusion of the tensor component are compared with the experimental data. When
the tensor force is included, both of the two different approaches are found to
give the same trend and agree with the experimental one, which indicates the
necessity of introducing the tensor force in the evolution of N=40 subshell and
on the other hand the reliability of the methods. Furthermore, it is shown that
the gap evolution is primarily determined by the corresponding tensor
contributions from $\pi$ and $\rho$-tensor coupling in the relativistic
framework.
