Λ超核实验的快速发展显著地促进了奇异性核物理的研究，而Λ超核的理论研究则相对滞后。目前还没有一个理论模型可以对不同质量区的大部分Λ超核进行统一的描述。针对这个问题本项目使用多组态混合的方法对超越Skyrme-Hartree-Fock平均场模型进行改进，使其可以对实验上观测到的大多数Λ超核的低激发谱进行有效的研究，并利用改进后的模型从Λ超核中各种组态对应的微观结构入手研究Λ超子的参杂效应。同时，本项目还计划基于实验上观测到的Λ超核低激发谱对Skyrme-型超子-核子相互做用的参数进行重新拟合，特别是要得到自旋-轨道耦合项的强度和自旋-自旋相互作用项的强度。最后本项目拟利用改进的超越Skyrme-Hartree-Fock平均场模型和新的Skyrme-型超子-核子势对实验上热门的Λ超核能谱进行研究和预测。

Fast developments of Λ hypernuclear experiments promote the investigations of nulcear physics with strangeness obviously, but the theoretical investigations of Λ hypernuclei comparatively lag behind. Nowadays, no theoretical models could describe most of the observed Λ hypernulcei in a unified way. This project uses a multi-configuration mixing method to improve the beyond Skyrme-Hartree-Fock mean-field model, and makes it suitable to investgate most of the observed Λ hypernuclear low-lying energy spectra effectively. Based on the microscopic structures of various hypernuclear configurations, the imporved model is also used to investigate the impurity effect of the Λ hyperon. At the same time, using the observed low-lying energy spectra of Λ hypernuclei, we also plan to tune a new set of parameters for the hyperon-nucleon interaction, especially for the spin-orbit interaction and spin-spin interaction. Finally, we plan to use the imporved beyond Skyrme-Hartree-Fock mean-field model and the tuned hyperon-nucleon interaction to predict the energy spectra of some focused Λ hypernuclei in experiments.