论文标题
研究相对论运动学，维度，相互作用和短距离相关性对四分之一与二次核对称能的比率的影响
Investigating Effects of Relativistic Kinematics, Dimensionality, Interactions, and Short-Range Correlations on the Ratio of Quartic over Quadratic Nuclear Symmetry Energies
论文作者
论文摘要
While ample evidence for the so-called empirical parabolic law of the Equation of State (EOS) of isospin asymmetric nuclear matter (ANM) has been obtained in many studies within both non-relativistic and relativistic nuclear many-body theories using various interactions, it has been unclear if there is any fundamental physics reason for the small quartic symmetry energy compared to the quadratic one even as the ANM approaches pure neutron matter.在相对论和非偏见的自由费米气体（FFG）模型中，在任意维度$ d $的坐标空间中，无论有没有考虑短距离相关性（SRC）以及非线性相对均值均值场（RMF）模型，我们研究了相对性的KINEMATICS，REMENSUESTICS，REMESTICS $ noctio $ $ quad $ quad yatio $ arc yat（比率）（比率）（比率） ANM EOSS中的对称能量。我们发现，FFG模型中的比率$ψ（ρ）$在很大程度上取决于尺寸$ d $。尽管在正常的3D空间中已经很小，但由于约束，集体活力和/或对称性，重型离子反应和/或整个中子星的颗粒子系统的尺寸降低的空间中甚至可能更小。我们还发现，理论上，比率$ψ（ρ）$只有在超偏见的极限上才能变得非常大，远高于中子星的密度。另一方面，与相对论的FFG模型预测相比，通过SRC诱导的高弹药直接和/或间接地通过SRC诱导的高弹药核显着影响$ψ（ρ）$的密度依赖性。 SRC不仅显着影响对称核物质的动能，而且还影响了比率$ψ（ρ）$，而相对论校正则可以忽略不计。结果可能有助于更好地了解密集的中子物质的EOS。
While ample evidence for the so-called empirical parabolic law of the Equation of State (EOS) of isospin asymmetric nuclear matter (ANM) has been obtained in many studies within both non-relativistic and relativistic nuclear many-body theories using various interactions, it has been unclear if there is any fundamental physics reason for the small quartic symmetry energy compared to the quadratic one even as the ANM approaches pure neutron matter. Within both relativistic and non-relativistic Free Fermi Gas (FFG) models in coordinate spaces of arbitrary dimension $d$ with and without considering Short-Range Correlations (SRC) as well as non-linear Relativistic Mean Field (RMF) models, we study effects of relativistic kinematics, dimensionality, interactions and SRC on the ratio $Ψ(ρ)$ of quartic over quadratic symmetry energies in ANM EOSs. We found that the ratio $Ψ(ρ)$ in the FFG model depends strongly on the dimension $d$. While it is very small already in the normal 3D space, it could be even smaller in spaces with reduced dimensions for sub-systems of particles in heavy-ion reactions and/or whole neutron stars due to constraints, collectivities and/or symmetries. We also found that the ratio $Ψ(ρ)$ could theoretically become very large only at the ultra-relativistic limit far above the density reachable in neutron stars. On the other hand, nuclear interaction directly and/or indirectly through SRC-induced high-momentum nucleons affect significantly the density dependence of $Ψ(ρ)$ compared to the relativistic FFG model prediction. The SRC affects significantly not only the kinetic energy of symmetric nuclear matter but also the ratio $Ψ(ρ)$ while the relativistic corrections are found negligible. The results may help better understand the EOS of dense neutron-rich matter.
