论文标题
基于儿童模型的有限核观测的贝叶斯推断
Bayesian inference of finite-nuclei observables based on the KIDS model
论文作者
论文摘要
贝叶斯对等轴和等核核相互作用参数的分析都是根据$^{208} $ pb和$^{120} $ sn的核结构数据约束的韩国-IBS-DAEGU-SKKU（KIDS）模型进行的。在中子层厚度的约束下，发现核对称能量的曲率参数$ k_ {sym} $作为独立变量显着拓宽了斜率参数$ l $的后验概率分布函数（PDF），并影响相关相关性。通常，$ l $与饱和密度下的对称能量之间的反相关消失，而观察到$ l $和$ k_ {sym} $之间的正相关。在等效巨型单极共振（ISGMR）的约束下，将偏度参数作为一个自变量也显着拓宽了核问题不可压缩性$ k_0 $的后PDF。即使存在状态方程式（EOS）的高阶参数的广泛不确定性，也获得了$ L <90 $ MEV和$ K_0 <270 $ MEV的强大约束。我们的研究量化了Prexii和Isovector巨型偶极子共振（IVGDR）数据中的$ L $的约束之间的一致性，以及从$^{208} $ PB和$^{120} $ SN的ISGMR数据中$ k_0 $的约束。
Bayesian analyses on both isoscalar and isovector nuclear interaction parameters are carried out based on the Korea-IBS-Daegu-SKKU (KIDS) model under the constraints of nuclear structure data of $^{208}$Pb and $^{120}$Sn. Under the constraint of the neutron-skin thickness, it is found that incorporating the curvature parameter $K_{sym}$ of nuclear symmetry energy as an independent variable significantly broadens the posterior probability distribution function (PDF) of the slope parameter $L$, and affects the related correlations. Typically, the anticorrelation between $L$ and the symmetry energy at saturation density disappears, while a positive correlation between $L$ and $K_{sym}$ is observed. Under the constraint of the isoscalar giant monopole resonance (ISGMR), incorporating the skewness parameter as an independent variable also significantly broadens the posterior PDF of the nuclear matter incompressibility $K_0$. Even with the broad uncertainties of higher-order parameters of the equation of state (EOS), robust constraints of $L<90$ MeV and $K_0<270$ MeV are obtained. Our study quantifies the consistency between the constraints on $L$ from the neutron-skin data of PREXII and isovector giant dipole resonance (IVGDR) data, and the constraints on $K_0$ from the data of ISGMR in $^{208}$Pb and $^{120}$Sn.
