标题： 张量力在伪自旋对称性中的作用 显示英文标题

标题： Significance of tensor force in pseudo-spin symmetry

摘要： 我们指出，核的伪自旋对称性（PSS）显著依赖于质子数（$Z$）和中子数（$N$），有时会引发特征结构。 通过使用包含真实张力力的非相对论球形哈特里-福克计算，我们表明张力力可能与PSS的$Z$和$N$依赖性密切相关。 虽然PSS通常在相对论对称性的背景下进行讨论，但张力力对PSS的影响有时看起来类似于在没有显式张力力的相对论平均场（RMF）计算中PSS的$Z$和$N$依赖性。 观察到的$p0d_{3/2}$-$p1s_{1/2}$水平从$^{40}$Ca 到$^{34}$Si 的变化与 PSS 的张量力驱动的$Z$依赖性一致，但不一定与 RMF 结果一致。尽管目前下结论还为时过早，但这一结果阐明了在讨论 PSS 时张量力的重要性。 显示英文摘要

摘要： We point out that the pseudo-spin symmetry (PSS) of nuclei significantly depends on the proton ($Z$) and neutron numbers ($N$), sometimes giving rise to the characteristic structures. By using the non-relativistic spherical Hartree-Fock calculation with a realistic tensor force, we show that the tensor force may be deeply relevant to the $Z$- and $N$-dependence of the PSS. While the PSS has often been discussed in the context of the relativistic symmetry, the tensor-force effects on the PSS sometimes look analogous to the $Z$-and $N$-dependence of the PSS in the relativistic mean-field (RMF) calculations without explicit tensor force. The observed variation of the $p0d_{3/2}$-$p1s_{1/2}$ levels from $^{40}$Ca to $^{34}$Si is consistent with the tensor-force-driven $Z$-dependence of the PSS, but not necessarily with the RMF result. Even though it is too early to be conclusive, this result elucidates the significance of the tensor force when discussing the PSS.