摘要: 使用超越平均场Skyrme-Hartree-Fock（SHF）模型对_∧⁹Be，_∧∧¹⁰Be，_∧¹³C和_∧²¹Ne进行计算，采用SLy4参数组的Skyrme力作为NN相互作用力，采用最近提出的SLL4参数组的Skyrme力作为N∧相互作用。计算中包含了超子的自旋-轨道力以再现单粒子态的自旋-轨道能级分裂和不交叉效应，并采用BCS方法处理对力。讨论了不同组态超核的相关性质，包含¹²C⊗∧0001/2⁺，¹²C⊗∧1101/2^-，¹²C⊗∧1013/2^-和¹²C⊗∧1011/2^-及⁸Be⊗∧0001/2⁺，⁸Be⊗∧1101/2^-，⁸Be⊗∧1013/2^-和⁸Be⊗∧1011/2^-。计算了_∧⁹Be，_∧¹³C的低激发能谱并与实验值进行了比较。结果表明，采用的超越平均场SHF模型能很好地再现∧超子占据s_∧轨道的正宇称能级。对⁸Be的计算结果表明该模型可以很好地再现⁸Be的集团结构，可以得出_∧⁹Be的真实超核态能级和⁹Be类似态。对_∧⁹Be及_∧¹³C的计算均再现了自旋双重态（3/2⁺，5/2⁺），但是得到的双重态能级差依然与实验值有出入。此外，对于上述超核体系均在∧超子占据∧0001/2⁺轨道时产生了收缩效应。还对_∧²¹Ne进行了计算并和超越平均场RMF模型计算结果进行比较，发现两者计算结果虽有细节上的出入，但是结果基本一致。


The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of _∧⁹Be, _∧∧¹⁰Be, _∧¹³C and _∧²¹Ne. The nucleon-nucleon (NN) interaction SLy4 and the nucleon-hyperon(N∧) interaction Skyrme-type SLL4 are used. The spin-orbit force of hyperon is included to show the spin-orbit splitting and non-crossing effect with BCS method to deal with pairing force. Energies of different configurations, such as ¹²C⊗∧0001/2⁺, ¹²C⊗∧1101/2^-, ¹²C⊗∧1013/2^-, ¹²C⊗∧1011/2^-, ⁸Be⊗∧0001/2⁺, ⁸Be⊗∧1101/2^-, 8 Be⊗∧1013/2^- and ⁸Be⊗∧1011/2^- are given and used to study the effects of ∧ occupying different orbitals. The calculated energy spectra, including both positive-and negative-parity levels, are given and compared to the experimental data. The observed positive-parity spin-doublet (3/2⁺,5/2⁺) are successfully reproduced, but the energy difference needs further investigation. The two well known band structures corresponding to the genuine hypernuclear states and the ⁹Be-analog states are also obtained and compared with the observed ones. The shrinkage effect of ∧ occupying ∧0001/2⁺ is investigated through the density distributions of nuclear core. And finally the calculation results of _∧²¹Ne are given and compared with the results of RMF method, which are nearly the same but with differences in some details.