We present an inference of the nuclear symmetry energy magnitude $J$, the slope $L$ and the curvature $K_{\rm sym}$ by combining neutron skin data on Ca, Pb and Sn isotopes and our best theoretical information about pure neutron matter (PNM). A Bayesian framework is used to consistently incorporate prior knowledge of the PNM equation of state from chiral effective field theory calculations. Neutron skins are modeled in a Hartree-Fock approach using an extended Skyrme energy-density functional which allows for independent variation of $J$, $L$ and $K_{\rm sym}$ without affecting the symmetric nuclear matter equation of state. We discuss the choice of neutron skin data sets, and combining errors in quadrature we obtain 95\% credible values of $J=31.3\substack{+4.2 \\ -5.9}$ MeV, $L=40\substack{+34 \\ -26}$ MeV and $K_τ = L - 6K_{\rm sym}= -444\substack{+100 \\ -84}$ MeV using uninformative priors in $J$, $L$ and $K_{\rm sym}$, and $J=31.9\substack{+1.3 \\ -1.3}$ MeV, $L=37\substack{+9 \\ -8}$ MeV and $K_τ = -480\substack{+25 \\ -26}$ MeV using PNM priors. The correlations between symmetry energy parameters induced by neutron skin data is discussed and compared with the droplet model. Neutron skin data alone is shown to place limits on the symmetry energy parameters as stringent as those obtained from chiral effective field theory alone, and when combined the 95\% credible intervals are reduced by a factor of 4-5. Ahead of new measurements of lead and calcium neutron skins from parity-violating electron scattering experiments at Jefferson Lab and Mainz Superconducting Accelerator, we make predictions based on existing data on neutron skins of tin for the neutron skins of calcium and lead of 0.166$\pm$0.008 fm and $0.169 \pm 0.014$ fm respectively, using uninformative priors, and 0.167$\pm$0.008 fm and $0.172 \pm 0.015$ fm respectively, using PNM priors.
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
重核中的中子皮厚度$Δr_{np}$被认为是探测核物质饱和密度$ρ_0$的最灵敏的地面探测器之一。现有的中子皮数据大多来自强子观测,具有很大的不确定性,并且从实验中提取的数据往往强烈依赖于模型。在急切地等待来自宇称违反电子散射实验的、与模型无关的、高精度的$^{208}$ Pb和$^{48}$ Ca的中子皮数据的同时(JLab的PREX-II和CREX以及MESA的MREX),在使用Skyrme-Hartree-Fock模型的贝叶斯统计框架内,我们推断后验概率分布函数(PDF)从想象的$Δr_{np}(^{208}$ Pb $)=0.15$,0.20和0.30 fm以及$Δr_{np}(^{48}$ Ca $)=0.12$,0.15和0.25 fm,以及不同的$1σ$误差条,计算$ρ_0$处核对称能的斜率参数$L$。的$L$推断使用相同的方法从现有的$Δr_{np}$数据的Sn同位素强子探针的PDF的结果进行了比较。它们还比较了最近的贝叶斯分析的结果的半径和潮汐变形数据的正则中子星从GW 170817和NICER。Sn同位素的中子皮数据分别给出了围绕其平均值的$L=45.5^{+26.5}_{-21.6}$ MeV或围绕其最大值的$L=53.4^{+18.6}_{-29.5}$ MeV { \it a posteriori},后者小于但与中子星数据的$L=66_{-20}^{+12…
Neutron star structure and nuclear matter properties from a general Walecka-type model with Bayesian analysis
School of Frontier Sciences, Nanjing University(前沿科学学院,南京大学);School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS(基础物理与数学学院,杭州高等研究院,中国科学院大学)
Neutron Skin Effects on Particle Emission in Heavy-Ion Collisions: A Topic Review with Astrophysical and Nuclear Structure Connections
Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Institute of Modern Physics, Fudan University(复旦大学现代物理研究所);Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University(复旦大学理论核物理上海研究中心);School of Physics, East China Normal University(华东师范大学物理系)
Implication of multimessenger observations on the relativistic mean-field equation of state of dense nuclear matter and skin thickness of nuclei
Indian Institute of Technology Delhi(印度理工学院德里分校);Shiv Nadar Institution of Eminence(希夫纳达尔卓越机构);Universidad de Salamanca(萨拉曼卡大学);Universit é de Liège(列日大学)
The East Lansing Model: a Bayesian uncertainty quantified optical potential for rare isotopes
Facility for Rare Isotope Beams, Michigan State University(稀有同位素束设施,密歇根州立大学);Department of Physics and Astronomy, Michigan State University(物理与天文学系,密歇根州立大学)
Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
利用贝叶斯模型分析了由手征核子-核子($NN$)势在不同展开阶下导出的核物质物态方程的截断误差.这些EOS展开为一个无量纲参数,$Q$的函数,这是由费米动量,$k_F$和击穿尺度,$Λ_b$确定。根据贝叶斯定理,在相应的展开系数和先验概率分布函数下,计算了手征有效场论预测的置信度区间.由DoB区间产生的截断误差在不同的手征展开阶势下表现出良好的逐阶收敛性。当DoB被认为是$1σ$可信度时,即,在$68.27\%$置信区间内,对称核物质和纯中子物质中每个核子结合能的截断误差与Epelbaum,{ \it et al.}最后,通过贝叶斯方法的一致性检验,基于成功率的计算,讨论了核物质的击穿尺度$Λ_b$的合理取值。