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arXiv 0910.0086nucl-th
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一个同位旋非对称核物质的唯象物态方程

A phenomenological equation of state for isospin asymmetric nuclear matter

Lie-Wen Chen

摘要:

建立了一个唯象动量无关(MID)模型来描述同位旋非对称核物质的物态方程,特别是核对称能$E_{\text{\textrm{sym}}}(ρ)$的密度依赖性.该模型能合理地描述对称核物质物态方程的一般性质,并能较好地描述复杂的与同位旋和动量相关的MDI模型和Skyrme-Hartree-Fock方法所预言的对称能。发现$K_{\mathrm{sym}}$和$L$以及$J_{0}/K_{0} $和$K_{0}$之间存在很好的线性相关性,其中$L$和$K_{\mathrm{sym}}$分别代表正常核密度$ρ_{0}$下对称能的斜率和曲率参数,而$K_{0}$和$J_{0}$分别代表$ρ_{0}$下对称核物质的不可压缩性和三阶导数参数.这些相关性与$K_{0}$,$L$和$E_{\text{\textrm{sym}}}(ρ_{0}) $的经验约束导致的估计-477 MeV $\leq K_{\mathrm{sat,2}}\leq -241 $ MeV的二阶同位旋不对称膨胀系数的不对称核物质的不可压缩性在饱和点。

英文摘要:

A phenomenological momentum-independent (MID) model is constructed to describe the equation of state (EOS) for isospin asymmetric nuclear matter, especially the density dependence of the nuclear symmetry energy $E_{\text{\textrm{sym}}}(ρ)$. This model can reasonably describe the general properties of the EOS for symmetric nuclear matter and the symmetry energy predicted by both the sophisticated isospin and momentum dependent MDI model and the Skyrme-Hartree-Fock approach. We find that there exists a nicely linear correlation between $K_{\mathrm{sym}}$ and $L$ as well as between $J_{0}/K_{0} $ and $K_{0}$, where $L$ and $K_{\mathrm{sym}}$ represent, respectively, the slope and curvature parameters of the symmetry energy at the normal nuclear density $ρ_{0}$ while $K_{0}$ and $J_{0}$ are, respectively, the incompressibility and the third-order derivative parameter of symmetric nuclear matter at $ρ_{0}$. These correlations together with the empirical constraints on $K_{0}$, $L$ and $E_{\text{\textrm{sym}}}(ρ_{0}) $ lead to an estimation of -477 MeV $\leq K_{\mathrm{sat,2}}\leq -241 $ MeV for the second-order isospin asymmetry expansion coefficient for the incompressibility of asymmetric nuclear matter at the saturation point.

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