论文标题
$^{48} $ ca中的对称能量和中子皮的贝叶斯推断，$^{208} $ pb来自Crex和Prex-2
Bayesian Inference of the Symmetry Energy and the Neutron Skin in $^{48}$Ca and $^{208}$Pb from CREX and PREX-2
论文作者
论文摘要
利用最新的与电荷的形式差的确定$^{\ rm cw} $ in $^{48} $ ca和$^{208} $ pb，由Crex和prex-2协作以及一些确定的属于bayesian Encome $ e的属性，由Crex和prex-2合作crex和prex-2合作。 sym}（ρ）$和中子皮肤厚度$Δr_ {\ rm np} $的$^{48} $ ca和$^{208} $ pb在Skyrme Energy Prouncational功能（EDF）中。我们发现推断的$ e _ {\ rm sym}（ρ）$和$Δr_ {\ rm np} $与crex和prex-2分别彼此兼容，彼此兼容$ 90 \％$ c.l.使用CREX（PREX-2）偏爱非常软的（刚性）$ e _ {\ rm sym}（ρ）$，而小（大）$Δr_ {\ rm np} $。通过将CREX和PEX-2数据结合在一起，我们获得了$ρ_0$且较薄的$Δr_ {\ rm np} $ $^{48} $ CA和$^{208} $ PB的柔和对称能量Sym}（ρ）$和$Δr_ {\ rm np} $由于其$ΔF_ {\ rm cw} $的较低精度。此外，我们发现通过将CREX和PREX-2数据相结合而推断出的Skyrme EDF结果非常与$^{48} $ CA中的偶极偶极极化$α_d$和$^{208} $ PB以及从微观计算中的中性问题方程式相结合。讨论了$ρ_0$围绕$ρ_0$的推断软$ e _ {\ rm sym} $的含义。
Using the recent model-independent determination of the charge-weak form factor difference $ΔF_{\rm CW}$ in $^{48}$Ca and $^{208}$Pb by the CREX and PREX-2 collaborations together with some well-determined properties of doubly magic nuclei, we perform Bayesian inference of the symmetry energy $E_{\rm sym}(ρ)$ and the neutron skin thickness $Δr_{\rm np}$ of $^{48}$Ca and $^{208}$Pb within the Skyrme energy density functional (EDF). We find the inferred $E_{\rm sym}(ρ)$ and $Δr_{\rm np}$ separately from CREX and PREX-2 are compatible with each other at $90\%$ C.L., although they are inconsistent at $68.3\%$ C.L. with CREX (PREX-2) favoring a very soft (stiff) $E_{\rm sym}(ρ)$ and rather small (large) $Δr_{\rm np}$. By combining the CREX and PREX-2 data, we obtain a soft symmetry energy around saturation density $ρ_0$ and thinner $Δr_{\rm np}$ of $^{48}$Ca and $^{208}$Pb, which are found to be closer to the corresponding results from CREX alone, implying the PREX-2 is less effective to constrain the $E_{\rm sym}(ρ)$ and $Δr_{\rm np}$ due to its lower precision of $ΔF_{\rm CW}$. Furthermore, we find the Skyrme EDF results inferred by combining the CREX and PREX-2 data nicely agree with the measured dipole polarizabilities $α_D$ in $^{48}$Ca and $^{208}$Pb as well as the neutron matter equation of state from microscopic calculations. The implications of the inferred soft $E_{\rm sym}(ρ)$ around $ρ_0$ are discussed.
