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arXiv 2008.00042nucl-thastro-ph.HE
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贝叶斯框架下中子皮和纯中子物质的核对称能

The nuclear symmetry energy from neutron skins and pure neutron matter in a Bayesian framework

William G. Newton, Gabriel Crocombe

摘要:

结合Ca、Pb和Sn同位素的中子皮数据和我们关于纯中子物质(PNM)的最佳理论信息,给出了核对称性能幅$J$、斜率$L$和曲率$K_{\rm sym}$的推断.贝叶斯框架是用来一贯纳入先验知识的PNM状态方程的手征有效场理论计算。在Hartree-Fock方法中,采用扩展的Skyrme能量密度泛函,在不影响对称核物质状态方程的情况下,考虑$J$、$L$和$K_{\rm sym}$的独立变化,对中子皮进行建模.讨论了中子皮肤数据集的选择,并结合正交误差,在$J$、$L$和$K_{\rm sym}$中使用无信息先验得到了95%可信的$J=31.3\substack{+4.2 \\ -5.9}$ MeV、$L=40\substack{+34 \\ -26}$ MeV和$K_τ = L - 6K_{\rm sym}= -444\substack{+100 \\ -84}$ MeV,在PNM先验得到了95%可信的$J=31.9\substack{+1.3 \\ -1.3}$ MeV、$L=37\substack{+9 \\ -8}$ MeV和$K_τ = -480\substack{+25 \\ -26}$ MeV.讨论了由中子皮数据引起的对称能参数之间的相关性,并与液滴模型进行了比较。单独的中子表皮数据显示出对对称性能量参数的限制与单独从手征有效场理论获得的对称性能量参数一样严格,并且当结合时,95%的可信区间减少了4-5倍。在杰斐逊实验室和美因茨超导加速器的宇称违反电子散射实验中对铅和钙中子皮进行新的测量之前,我们使用无信息先验,根据锡的中子皮的现有数据,对钙和铅的中子皮分别为0.166 $\pm$ 0.008 fm和$0.169 \pm 0.014$ fm进行预测,和0.167 $\pm$分别为0.008 fm和$0.172 \pm 0.015$ fm。

英文摘要:

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.

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