从经验证据看极限对称能元
Limiting symmetry energy elements from empirical evidence
摘要：
在动量和密度相关的有限程两体有效相互作用状态方程（EoS）的框架下，研究了无限大核物质不同对称元的数量大小.这种相互作用的参数是从公认的特征常数与均匀核物质。用该EoS计算的对称能量系数$a_2$、密度斜率$L_0$、对称不可压缩性$K_δ$以及密度相关不可压缩性$K(ρ)$与从其他不同角度得到的结果一致。高阶对称性能量系数$a_4,~a_6$等在有限核的密度范围内并不显著，但在超常密度下逐渐增加。对与核物质相关的经验体数据，用同样的输入值，用Skyrme启发的能量密度泛函进行分析，得到了几乎相同的结果。
英文摘要：
In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The parameters of this interaction are determined from well-accepted characteristic constants associated with homogeneous nuclear matter. The symmetry energy coefficient $a_2$, its density slope $L_0$, the symmetry incompressibility $K_δ$ as well as the density dependent incompressibility $K(ρ)$ evaluated with this EoS are seen to be in good harmony with those obtained from other diverse perspectives. The higher order symmetry energy coefficients $a_4,~a_6$ etc are seen to be not very significant in the domain of densities relevant to finite nuclei, but gradually build up at supra-normal densities. The analysis carried with a Skyrme-inspired energy density functional obtained with the same input values for the empirical bulk data associated with nuclear matter yields nearly the same results.
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