论文标题
高阶依赖性表面张力对有限核的四阶对称能的贡献
High-order isospin-dependent surface tension contribution to the fourth-order symmetry energy of finite nuclei
论文作者
论文摘要
The relation between the fourth-order symmetry energy $E_{\rm{sym,4}}(ρ_0)$ of nuclear matter at saturation density $ρ_0$ and its counterpart $a_{\rm{sym,4}}(A)$ of finite nuclei in a semiempirical nuclear mass formula is revisited by considering the high-order isospin-dependent surface tension对后者的贡献。我们得出了$ a _ {\ rm {sym，4}}（a）$的完整表达，该$明确包括高阶isospin依赖性表面张力效应，并发现$ e _ {\ rm {sym，4}}}}（ρ_0）$的值无法从测量的$ a $ a ^ $ a _ _ {高阶表面张力受到良好的约束。我们的结果意味着，通过分析核量获得的多个MEV的$ a _ {\ rm {sym，4}}（a）$值可以很好地与$ e _ {\ rm {sym，4}}}（4}}}（ρ_0）（ρ_0）\ sims 2 $ mev的经验约束，并不需要从表示含义的模型中，并且我们不一定要导致含义的模型和a imem Models a a Mev。 $ e _ {\ rm {sym，4}}（ρ_0）$ of $ \ $ \ of $ \ of $ \ of $ \ of 20 $ meV先前在没有考虑高阶表面张力的情况下获得。此外，我们还给出了有限核的六阶对称能量$ a _ {\ rm {sym，6}}}（a）$的表达式，该核涉及更多的核物质大量参数和高阶isospin依赖性表面张力。
The relation between the fourth-order symmetry energy $E_{\rm{sym,4}}(ρ_0)$ of nuclear matter at saturation density $ρ_0$ and its counterpart $a_{\rm{sym,4}}(A)$ of finite nuclei in a semiempirical nuclear mass formula is revisited by considering the high-order isospin-dependent surface tension contribution to the latter. We derive the full expression of $a_{\rm{sym,4}}(A)$, which includes explicitly the high-order isospin-dependent surface tension effects, and find that the value of $E_{\rm{sym,4}}(ρ_0)$ cannot be extracted from the measured $a_{\rm{sym,4}}(A)$ before the high-order surface tension is well constrained. Our results imply that a large $a_{\rm{sym,4}}(A)$ value of several MeVs obtained from analyzing nuclear masses can nicely agree with the empirical constraint of $E_{\rm{sym,4}}(ρ_0)\lesssim 2$ MeV from mean-field models and does not necessarily lead to a large $E_{\rm{sym,4}}(ρ_0)$ value of $\approx 20$ MeV obtained previously without considering the high-order surface tension. Furthermore, we also give the expression for the sixth-order symmetry energy $a_{\rm{sym,6}}(A)$ of finite nuclei, which involves more nuclear matter bulk parameters and the higher-order isospin-dependent surface tension.
