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Effects of(∧∧)ω-tensor coupling on the spin symmetry of(∧)spectra in(∧)-nucleus systems are studied using relativis-tic mean-field theory.Taking 12C+(∧)as an example,it is found that the tensor coupling enlarges the spin-orbit splittings of(∧)a factor of 5 but has a negligible effect on the wave functions of(∧).Similar conclusions are observed in other(∧)-nuclei,including 16O+(∧),40Ca+(∧)and 20gPb+(∧).It is indicated that the spin symmetry in anti-lambdaucleus systems is still a good approximation irrespective of the tensor coupling.