AI 中文总结
该研究用球形哈特利-福克方法，结合双Λ超核与中子星数据，探究Skyrme型ΛΛ相互作用下多Λ超核的结构，明确了p波项与密度依赖项的不同作用。
AI 中文摘要
我们研究受双Λ超核与中子星数据约束的、具有Skyrme型ΛΛ相互作用的多Λ超核系统，通过球形哈特利-福克方法，考虑正常密度附近的均匀超子物质及有限多Λ超核，探究ΛΛ相互作用中排斥性p波项与密度依赖项的作用。在均匀物质中，Λ化学势及对应的Λ滴点强烈依赖排斥性p波项，而密度依赖项在有限核相关的密度范围内影响相对较弱。在从轻到重的双闭壳稳定核芯构建的多Λ超核中，Λ半径、分离能及单粒子结构均对排斥性p波相互作用有明显依赖，且该依赖随Λ超子数量增加而增强。在Λ滴线附近还存在另一显著效应：当最后占据的Λ轨道接近连续谱时，排斥性p波项会将该态向上移动，可能产生具有延展径向分布的弱束缚态，导致Λ半径在阈值附近快速增大，该阈值效应需与Λ超子数量增加时p波相互作用依赖的适度增强区分开。这些结果表明，多Λ超核对分离正常密度附近p波ΛΛ相互作用的作用尤为有用，而密度依赖项被认为在与中子星相关的高密度区域是更重要的相互作用。
英文摘要
We investigate multi-$Λ$ hypernuclear systems with Skyrme-type $ΛΛ$ interactions constrained by the data on double-$Λ$ hypernuclei and neutron stars. The roles of the repulsive $p$-wave and density-dependent terms in the $ΛΛ$ interaction are examined by considering the homogeneous hyperonic matter around the normal density and finite multi-$Λ$ hypernuclei within the spherical Hartree-Fock approach. In homogeneous matter, the $Λ$ chemical potential and corresponding $Λ$ drip point depend strongly on the repulsive $p$-wave term, while the effect of density-dependent term is relatively weak in the density range relevant to finite nuclei. In the multi-$Λ$ hypernuclei built on doubly closed stable cores from light to heavy systems, $Λ$ radius, separation energy and single-particle structure show a clear dependence on the repulsive $p$-wave interaction, and this dependence becomes stronger as the number of $Λ$ hyperons increases. A second and distinct effect appears near the $Λ$ drip line: when the last occupied $Λ$ orbit approaches the continuum, the repulsive $p$-wave term shifts the state upward and can produce a weakly bound state with an extended radial distribution. As a result, $Λ$ radius can increase rapidly near the threshold. This threshold effect should be distinguished from the moderate enhancement of the dependence on $p$-wave interaction with increasing number of $Λ$ hyperons. These results indicate that the multi-$Λ$ hypernuclei are particularly useful for isolating the role of $p$-wave $ΛΛ$ interacion around the normal density, whereas the density-dependent term is expected to be more important interaction in the high-density domain relevant to neutron stars.
Comments10 pages, 9 figures
