从非相对论性可解方法和超越方法得到的核物质对称能、它的斜率和曲率之间的相关
Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
摘要：
通过在标量场$σ$中使用包含立方和四次自相互作用的有限程核相对论平均场模型的点耦合形式，获得了非相对论极限。该方法允许以统一形式，即$\,L\,=\,3J\,+f(m^{*},ρ_{o},B_{o},K_{o})$，作为其斜率（$L$）的函数的对称能（$J$）的解析表达式，其中量$m^{*}$、$ρ_{o}$、$B_{o}$和$K_{o}$是在核物质饱和密度$ρ_{o}$下的体参数。这一结果建立了$L$和$J$之间的线性相关性，并通过精确的相对论计算得到了加强。一个类似的分析相关性也发现$J$，$L$和对称性能量曲率（$K_{sym}$）。基于这些结果，我们提出了有限范围模型在$L\times J$和$K_{sym}\times L$平面上必须满足的图形约束。
英文摘要：
By using point-coupling versions of finite range nuclear relativistic mean field models containing cubic and quartic self interactions in the scalar field $σ$, a nonrelativistic limit is achieved. This approach allows an analytical expression for the symmetry energy ($J$) as a function of its slope ($L$) in a unified form, namely, $\,L\,=\,3J\,+f(m^{*},ρ_{o},B_{o},K_{o})$, where the quantities $m^{*}$, $ρ_{o}$, $B_{o}$ and $K_{o}$ are bulk parameters at the nuclear matter saturation density $ρ_{o}$. This result establishes a linear correlation between $L$ and $J$ which is reinforced by exact relativistic calculations. An analogous analytical correlation is also found for $J$, $L$ and the symmetry energy curvature ($K_{sym}$). Based on these results, we propose graphic constraints in $L\times J$ and $K_{sym}\times L$ planes which finite range models must satisfy.
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