Tensor coupling effects on spin symmetry in anti-Lambda spectrum of hypernuclei

The effects of $\barΛ\barΛω$-tensor coupling on the spin symmetry of $\barΛ$ spectra in $\barΛ$-nucleus systems have been studied with the relativistic mean-field theory. Taking $^{12}$C+$\barΛ$ as an example, it is found that the tensor coupling enlarges the spin-orbit splittings of $\barΛ$ by an order of magnitude although its effects on the wave functions of $\barΛ$ are negligible. Similar conclusions has been observed in $\barΛ$-nucleus of different mass regions, including $^{16}$O+$\barΛ$, $^{40}$Ca+$\barΛ$ and $^{208}$Pb+$\barΛ$. It indicates that the spin symmetry in anti-lambda-nucleus systems is still good irrespective of the tensor coupling.

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