论文标题
核质量和核物质状态方程
Nuclear masses and the equation of state of nuclear matter
论文作者
论文摘要
不可压缩的液滴（ILD）模型可以很好地再现稳定核的质量。在这里，我们展示了使用oyamatsu-iida（OI）宏观核模型与核物质状态方程相关的ILD体积，表面，对称性和库仑能量是如何相关的，该模型具有合理的多体能量和异基因含量梯度能量。我们使用304个更新的交互，涵盖了不可压缩性的对称物质$ k_0 $的范围，对称能量$ l $的密度斜率几乎适合稳定核的经验质量和半径数据。因此，与ILD模型一样，$ k_0 $和$ l $依赖关系几乎被稳定的核冻结，从而导致相互作用和饱和参数之间的明显相关性。此外，我们假设使用ILD和OI模型的尺寸平衡条件，OI模型的表面能量是梯度能量的两倍。然后，ILD和OI模型的四个能量对稳定的核与$ a \ gtrsim 40 $一致。同时，具有$ L \ Lessim 100 $ MEV的OI模型预测最新的质量数据比稳定的核能更好，我们建议$ 20 \ Lessim l \ lyssim 90 $ MEV，尽管下边界的限制不佳。
The incompressible liquid-drop (ILD) model reproduces masses of stable nuclei rather well. Here we show how the ILD volume, surface, symmetry, and Coulomb energies are related to the equation of state of nuclear matter using the Oyamatsu-Iida (OI) macroscopic nuclear model, which has reasonable many-body energy and isoscalar inhomogeneity gradient energy. We use 304 update interactions, covering wide ranges of the incompressibility $K_0$ of symmetric matter and the density slope of symmetry energy $L$, which fit almost equally empirical mass and radius data of stable nuclei. Thus, the $K_0$ and $L$ dependences are nearly frozen in stable nuclei as in the ILD model, leading to clear correlations among interaction and saturation parameters. Furthermore, we assume that the surface energy of the OI model is twice as large as the gradient energy using the size equilibrium conditions of the ILD and OI models. Then, the four energies of the ILD and OI models agree well for stable nuclei with $A \gtrsim 40$. Meanwhile, the OI model with $L \lesssim 100$ MeV predicts the latest mass data better than those of stable nuclei, and we suggest $20 \lesssim L \lesssim 90$ MeV, although the lower boundary is not constrained well.
