A previously introduced relativistic energy density functional, successfullyapplied to ordinary nuclei, is extended to hypernuclei. The density-dependentmean field and the spin-orbit potential are consistently calculated for a$\Lambda$ hyperon in the nucleus using the SU(3) extension of in-medium chiralperturbation theory. The leading long range $\Lambda N$ interaction arises fromkaon-exchange and $2\pi$-exchange with $\Sigma$ hyperon in the intermediatestate. Scalar and vector mean fields reflecting in-medium changes of the quarkcondensates are constrained by QCD sum rules. The model, applied to oxygen as atest case, describes spectroscopic data in good agreement with experiment. Inparticular, the smallness of the $\Lambda$ spin-orbit interaction finds anatural explanation in terms of an almost complete cancellation betweenscalar-vector background contributions and long-range terms generated bytwo-pion exchange.
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机译：成功引入普通核的先前引入的相对论能量密度泛函扩展到超核。使用中等手性扰动理论的SU（3）扩展，始终为原子核中的一个\ Lambda $超子计算密度依赖的平均场和自旋轨道势。领先的长距离$ \ Lambda N $交互作用来自中间状态下的$ \ Sigma $ hyperon的kaon交换和$ 2 \ pi $交换。反映夸克冷凝物的中等变化的标量和矢量均值场受到QCD和规则的约束。该模型以氧气为例，描述了与实验非常吻合的光谱数据。特别是，$ \ Lambda $自旋轨道相互作用的微小性，在标量矢量背景贡献与由两小子交换产生的远距离项之间几乎完全抵消时，找到了自然的解释。
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