论文标题

通过改变镜子核的电荷横截面测量来约束核物质状态的方程

Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei

论文作者

Xu, Jun-Yao, Li, Zheng-Zheng, Sun, Bao-Hua, Niu, Yi-Fei, Roca-Maza, Xavier, Sagawa, Hiroyuki, Tanihata, Isao

论文摘要

核对称能量在确定密集,中子富含物质的状态方程(EOS)方程中起着关键作用,将原子核与宇宙中的热和密集物质联系起来,因此是实验室实验,天文学观察和理论的激烈研究的主题。已经提出了各种探针来限制对称能及其密度依赖性。当前,广泛的数据已经在饱和密度下对对称能量($ e_ \ text {sym}(ρ)$)的良好且一致的约束,但尚未给出一个关键的EOS参数,$ L $,对称能量的密度依赖性的一致结果。在这项工作中,我们报告了饱和密度下的$ L $的新探针。在$ l $和更改横截面差异($δσ_\ text {cc} $)之间发现了良好的线性相关性,这两个Skyrme-Hartree-fock理论(SHF)和互联(Relatiant(Relativicistic)密度(CDF)。我们发现,该镜对的配对效果对于在SHF和CDF中都获得$ L $和$δσ_\ text {cc} $之间的一致相关性至关重要。在这里,使用零范围的光限制GLAUBER模型在相同的目标和相同的能量上计算横截面。发现线性的精度与$ l $和中子皮肤厚度或质子半径差的精度相同。

The nuclear symmetry energy plays a key role in determining the equation of state (EoS) of dense, neutron-rich matter, which connects the atomic nuclei with the hot and dense matter in universe, thus has been the subject of intense investigations in laboratory experiments, astronomy observations and theories. Various probes have been proposed to constrain the symmetry energy and its density dependence. Currently, the extensive data yield already a good and consistent constraint to the symmetry energy ($E_\text{sym}(ρ)$) at saturation density, but do not yet give a consistent result of one critical EoS parameter, $L$, the density dependence of the symmetry energy. In this work, we report a new probe of $L$ at saturation density. A good linear correlation is found between $L$ and the charge changing cross section difference ($Δσ_\text{cc}$) of mirror nuclei $^{30}$Si-$^{30}$S for both the Skyrme-Hartree-Fock theory (SHF) and covariant (relativistic) density functionals (CDF). We found that the pairing effect for this mirror pair is essential to get a consistent correlation between $L$ and $Δσ_\text{cc}$ in both the SHF and CDF. Here, the cross sections are calculated on the same target and at the same energy using the zero-range optical-limit Glauber model. The linearity is found to be in the same precision as those found between $L$ and neutron skin thickness or proton radius difference.

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