论文标题
$^{116,118,120,122,122,124,132} $ sn，$^{$^{208} $ pb和$^{48} $ CA
Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in $^{116,118,120,122,124,130,132}$Sn, $^{208}$Pb, and $^{48}$Ca
论文作者
论文摘要
沉重核中的中子皮肤厚度$Δr_{np} $被称为核对称能量左右$ \ frac {2} {3} $饱和密度$ρ_0核物质的核对称能量最敏感的陆生探针之一。现有的中子皮肤数据主要来自Hadronic可观察到的不确定性，而从实验中提取它们通常是强烈的模型依赖性的。在急切地等待着$^{208} $ pb的符合承诺的与模型无关的和高精度的中子皮肤数据，以及来自均等电子散射实验的$^{208} $ pb，$^{48} $ ca（jlab的Prex-ii和Crex）（MESA的Prex-ii和Crex），以及MESA的MESA概率，以及贝利斯统计框架中的posiotier posiotition we Prossstripers we Prossiption we Prossiption we Postiotion we Posistion we Postiotion we Postiotion we we从想象中的$ρ_0$ $Δr_{np}（^{208} $ pb $）= 0.15 $，0.20和0.30 fm，以及$Δr_{np} $Δr_{np}（^np} $ np}（$Δr_{np} $，$δr_{np}（$δr_{np} $ ca {48} $ ca {48} $，$Δr_{np} $Δr_{np} $Δr_{0.15， $1σ$错误条。将结果与使用相同的方法从HADRONIC探针中的SN同位素的可用$ΔR_{np} $数据中推断出的$ L $的PDF进行了比较。它们还与最近对GW170817和更好的跨度中子星的半径和潮汐变形性数据进行的贝叶斯分析的结果进行了比较。 Sn同位素的中子皮肤数据给出$ L = 45.5^{+26.5} _ { - 21.6} $ MEV围绕其平均值或$ l = 53.4^{+18.6} _ { - 29.5} $ MEV，围绕其最大{\ a posteriori}的价值，但分别与lateriori}相比，但要小。 $ l = 66 _ { - 20}^{+12} $ MEV从其68 \％置信区间内的中子星数据中。为了提供有关SN同位素的$ΔR_{np} $提取的$ L $的另外有用信息，$ΔR_{np}（np}（^{208} $ PB）的实验错误栏应至少小于0.06 fm的0.06 fm。
The neutron skin thickness $Δr_{np}$ in heavy nuclei has been known as one of the most sensitive terrestrial probes of the nuclear symmetry energy around $\frac{2}{3}$ of the saturation density $ρ_0$ of nuclear matter. Existing neutron skin data mostly from hadronic observables suffer from large uncertainties and their extraction from experiments are often strongly model dependent. While waiting eagerly for the promised model-independent and high-precision neutron skin data for $^{208}$Pb and $^{48}$Ca from the parity-violating electron scattering experiments (PREX-II and CREX at JLab as well as MREX at MESA), within the Bayesian statistical framework using the Skyrme-Hartree-Fock model we infer the posterior probability distribution functions (PDFs) of the slope parameter $L$ of the nuclear symmetry energy at $ρ_0$ from imagined $Δr_{np}(^{208}$Pb$)=0.15$, 0.20, and 0.30 fm as well as $Δr_{np}(^{48}$Ca$)=0.12$, 0.15, and 0.25 fm, with different $1σ$ error bars. The results are compared with the PDFs of $L$ inferred using the same approach from the available $Δr_{np}$ data for Sn isotopes from hadronic probes. They are also compared with results from a recent Bayesian analysis of the radius and tidal deformability data of canonical neutron stars from GW170817 and NICER. The neutron skin data for Sn isotopes gives $L=45.5^{+26.5}_{-21.6}$ MeV surrounding its mean value or $L=53.4^{+18.6}_{-29.5}$ MeV surrounding its maximum {\it a posteriori} value, respectively, with the latter smaller than but consistent with the $L=66_{-20}^{+12}$ MeV from the neutron star data within their 68\% confidence intervals. In order to provide additionally useful information on $L$ extracted from the $Δr_{np}$ of Sn isotopes, the experimental error bar of $Δr_{np}(^{208}$Pb) should be at least smaller than 0.06 fm aimed by some current experiments.
