摘要:
使用超越平均场Skyrme-Hartree-Fock(SHF) 模型对( )Be, ( )Be, ( )C和( )Ne 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NΛ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?Λ[000]1/2+, 12C?Λ[110]1/2?, 12C?Λ[101]3/2?和12C?Λ[101]1/2?及8Be?Λ[000]1/2+, 8Be?Λ[110]1/2?, 8Be?Λ[101]3/2?和8Be?Λ[101]1/2?.计算了( )Be, ( )C 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Λ超子占据sΛ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( )Be 的真实超核态能级和9Be类似态.对( )Be 及( )C 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Λ超子占据Λ[000]1/2+轨道时产生了收缩效应.还对( )Ne 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.
Abstract:
The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of ( )Be, ( )Be, ( )C and ( )Ne. The nucleon-nucleon (NN) interaction SLy4 and the nucleon-hyperon(NΛ) 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?Λ[000]1/2+, 12C?Λ[110]1/2?, 12C?Λ[101]3/2?, 12C?Λ[101]1/2?, 8Be?Λ[000]1/2+, 8Be?Λ[110]1/2?, 8Be?Λ[101]3/2? and 8Be?Λ[101]1/2? are given and used to study the effects of Λ 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 Λ occupying Λ[000]1/2+ is investigated through the density distributions of nuclear core. And finally the calculation results of ( )Ne are given and compared with the results of RMF method, which are nearly the same but with differences in some details.
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