This work investigates tensor-force effects on octupole deformation in neutron-rich Ba isotopes within a deformed Skyrme energy density functional framework combined with BCS pairing. Focusing on isotopes near \(N \approx 88\) , where static octupole deformation is known to arise from the underlying shell structure near the Fermi surface, in particular from the \(\Delta l = \Delta j = 3\) coupling between the \(\nu 1i_{13/2}\) and \(\nu 2f_{7/2}\) orbitals, we demonstrate that the tensor force does not act as an independent microscopic driving mechanism for octupole deformation. Instead, its effects manifest through modifications of the spin–orbit splittings and the associated shell gaps, which reshape the relative spacing and ordering of octupole-driving single-particle levels, thereby enhancing or suppressing preexisting octupole correlations. We further show that the neutron–proton tensor coupling \(\beta _\text{T}\) leads to an approximately linear, monopole-like dependence of the equilibrium octupole deformation on the tensor strength, whereas the like-particle tensor coupling \(\alpha _\text{T}\) induces a distinctly nonlinear response. This qualitative difference reflects the distinct ways in which the two tensor components modify the shell structure relevant for octupole correlations.
