论文标题
$^{48} $ ca中的中子皮肤从p+$^{48} $ ca和$^{48} $ ca+$^{12} $ c散射确定
Neutron skin in $^{48}$Ca determined from p+$^{48}$Ca and $^{48}$Ca+$^{12}$C scattering
论文作者
论文摘要
在上一篇论文中，我们确定了$ r _ {\ rm skin}^{208}（{\ rm exp}）= 0.278 \ pm 0.035 $ 〜fm from $σ_ {\ rm r} $ for p+$^{208} $ pb scesting for p+$^{208} $ pb sctivating for kyushu（chir cartal） D1S-GHFB具有角动量投影（AMP）。该价值与prex2的价值一致。反应交叉部分$σ_ {\ rm r} $可用于P + $^{48} $ CA散射，而交互交叉部分$σ_{\ rm I} $可用于$^{48} $ CA + $ $^{12} $ C散射。至于$^{48} $ ca，高分辨率$ e1 $极化实验（$ e1 $ pe）产生$ r _ {\ rm skin}^{48}（e1 {\ rm pe}）= 0.14 \ sim 0.20〜 {\ rm fm fm} $。我们从$σ_{\σ_ {\ rm rm r} $上的数据中确定$ r _ {\ rm skin}^{48}（{\ rm exp}）$，用于p+$^{48} $ ca散射，从$σ_{\ rm i} $ for $^$^$^$^$ c^$ c的$σ_{\ rmi i} $ c ca {48} $ c的数据中的数据。我们使用kyushu $ g $ -matrix折叠模型，其密度使用D1M-GHFB+AMP密度计算。 D1M-GHFB+AMP质子和中子密度被缩放，以便在缩放质子密度的半径$ r _ {\ rm p} $的条件下重现数据。我们推论皮肤值$ r _ {\ rm skin} = r _ {\ rm n}（{\ rm exp}） - r _ {\ rm p}（{\ rm exp}）（{\ rm exp}）$从结果$ r _ {\ rm n}（\ rm n}（\ rm exp}（\ rm p} $ p} $ rm p}） exp}）$由电子散射确定。 D1S-GHFB+AMP采用了相同的步骤。我们将$ r _ {\ rm skin}^{48}（e1 {\ rm pe}）$视为参考皮肤值。使用参考皮肤值并服用D1M-GHFB+AMP，我们确定$ r _ {\ rm skin}^{48}（{\ rm exp}）= 0.158 \ pm 0.025 $ 〜fm for P+$^{48} $^{12} $ c散射。我们采用加权平均值及其对两个皮肤值的误差。结果是$ r _ {\ rm skin}^{48}（{\ rm exp}）= 0.158 \ pm（0.023）_ {\ rm exp} \ pm（0.012）_ {\ rm th}〜{\ rm th}〜{\ rm fm fm fm} $。
In our previous paper, we determined $r_{\rm skin}^{208}({\rm exp})=0.278 \pm 0.035$~fm from $σ_{\rm R}$ for p+$^{208}$Pb scattering, using the Kyushu (chiral) $g$-matrix folding model with the densities calculated with D1S-GHFB with the angular momentum projection (AMP). The value agrees with that of PREX2. Reaction cross sections $σ_{\rm R}$ are available for p+$^{48}$Ca scattering, whereas interaction cross sections $σ_{\rm I}$ are available for $^{48}$Ca + $^{12}$C scattering. As for $^{48}$Ca, the high-resolution $E1$ polarizability experiment ($E1$pE) yields $r_{\rm skin}^{48}(E1{\rm pE}) =0.14 \sim 0.20~{\rm fm}$. We determine $r_{\rm skin}^{48}({\rm exp})$ from the data on $σ_{\rm R}$ for p+$^{48}$Ca scattering and from the data on $σ_{\rm I}$ for $^{48}$Ca+$^{12}$C scattering. We use the Kyushu $g$-matrix folding model with the densities calculated with the D1M-GHFB+AMP densities. The D1M-GHFB+AMP proton and neutron densities are scaled so as to reproduce the data under the condition that the radius $r_{\rm p}$ of the scaled proton density equals the data $r_{\rm p}({\rm exp})$ determined from the electron scattering. We deduce skin values $r_{\rm skin}=r_{\rm n}({\rm exp})-r_{\rm p}({\rm exp})$ from the resulting $r_{\rm n}({\rm exp})$ and the $r_{\rm p}({\rm exp})$ determined from electron scattering. The same procedure is taken for D1S-GHFB+AMP. We regard $r_{\rm skin}^{48}(E1{\rm pE})$ as a reference skin value. Using the reference skin value and taking D1M-GHFB+AMP, we determine $r_{\rm skin}^{48}({\rm exp})=0.158 \pm 0.025$~fm for p+$^{48}$Ca scattering and $0.160 \pm 0.058$~fm for $^{48}$Ca + $^{12}$C scattering. We take the weighted mean and its error for the two skin values. The result is $r_{\rm skin}^{48}({\rm exp})=0.158 \pm (0.023)_{\rm exp} \pm (0.012)_{\rm th}~{\rm fm}$.
