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Tensor Coupling Effects on Spin Symmetry in the Anti-Lambda Spectrum of Hypernuclei

Effects of Λ̄ω-tensor coupling on the spin symmetry of Λ̄ spectra in Λ̄-nucleus systems are studied using relativistic mean-field theory. Taking 12C+Λ̄ as an example, it is found that the tensor coupling enlarges the spin-orbit splittings of Λ̄ by a factor of 5 but has a negligible effect on the wave functions of Λ̄. Similar conclusions are observed in other Λ̄-nuclei, including 16O+Λ̄, 40Ca+Λ̄ and 208Pb+Λ̄. It is indicated that the spin symmetry in anti-lambda-nucleus systems is still a good approximation irrespective of the tensor coupling.