论文标题
贝叶斯对核物质的不可压缩性，偏斜性和峰度的推断，从相对论重型离子碰撞中的经验压力中
Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions
论文作者
论文摘要
在贝叶斯统计框架内，我们推断出不可压缩性$ k_0 $，偏度$ j_0 $和kurtosis $ z_0 $对称核问题的参数（SNM）的饱和密度$ρ_0$，使用限制频带在冷snm中的约束频段从密度范围内的1.3 $ρ_0$ρ_0$ρ_0$ρ_5$ρ_5$ρ_5$ρ_5$ρ_5$ρ_5$ρ_5$ρ_5在相对论的重型离子碰撞中。 As the default option assuming the $K_0$, $J_0$ and $Z_0$ have Gaussian prior probability distribution functions (PDFs) with the means and variances of $235\pm 30$, $-200\pm 200$ and $-146\pm 1728$ MeV, their posterior most probable values are narrowed down to 192$^{+12}_{-16}$ MeV, -180 $^{+100} _ { - 110} $ MEV和200 $^{+250} _ { - 250} $分别在68 \％的置信度下。结果在很大程度上独立于$ J_0 $和$ z_0 $的先前PDF。但是，如果人们强烈相信，不可压缩性$ k_0 $在其绝对边界220-260 meV之内具有统一的先验PDF，因为在文献中很容易找到$ k_0 $，$ j_0 $和$ z_0 $的后部最可能的值，$ j_0 $和$ z_0 $转移到$ k_0 = $ k_0 = 220 = 220 = 220 = 220^{+6} $} $ J_0 = -390^{+60} _ { - 70} $ MEV和$ Z_0 = 600^{+200} _ { - 200} $ MEV。 SNM EOS参数的后pDF在一定程度上取决于所用的$ k_0 $的先前PDF，但使用不同先前的PDF的结果在定性上是一致的。与当前值相比，所有三个参数的不确定性都大大减少了，尤其是对于$ j_0 $和$ z_0 $的参数。
Within the Bayesian statistical framework we infer the incompressibility $K_0$, skewness $J_0$ and kurtosis $Z_0$ parameters of symmetric nuclear matter (SNM) at its saturation density $ρ_0$ using the constraining bands on the pressure in cold SNM in the density range of 1.3$ρ_0$ to 4.5$ρ_0$ from transport model analyses of kaon production and nuclear collective flow in relativistic heavy-ion collisions. As the default option assuming the $K_0$, $J_0$ and $Z_0$ have Gaussian prior probability distribution functions (PDFs) with the means and variances of $235\pm 30$, $-200\pm 200$ and $-146\pm 1728$ MeV, their posterior most probable values are narrowed down to 192$^{+12}_{-16}$ MeV, -180$^{+100}_{-110}$ MeV and 200$^{+250}_{-250}$ at 68\% confidence level, respectively. The results are largely independent of the prior PDFs of $J_0$ and $Z_0$ used. However, if one adopts the strong belief that the incompressibility $K_0$ has a uniform prior PDF within its absolute boundary of 220-260 MeV as one can find easily in the literature, the posterior most probable values of $K_0$, $J_0$ and $Z_0$ shift to $K_0=220^{+6}_{-0}$ MeV, $J_0=-390^{+60}_{-70}$ MeV and $Z_0=600^{+200}_{-200}$ MeV, respectively. While the posterior PDFs of the SNM EOS parameters depend somewhat on the prior PDF of $K_0$ used, the results from using different prior PDFs are qualitatively consistent. The uncertainties of all three parameters are significantly reduced especially for the $J_0$ and $Z_0$ parameters compared to their current values.
