论文标题
$^{208} $ pb的皮肤值和$^{48} $ ca从反应横截面确定（在物理学的结果中发表）
Skin values of $^{208}$Pb and $^{48}$Ca determined from reaction cross sections (published in Results in Physics)
论文作者
论文摘要
Prex和Crex组报告了他们的皮肤值。使用Love-Franey（LF）$ T $ -MATRIX折叠模型，其中子和质子密度缩放到中子半径$ r _ {\ rm n}^{208} {208}（{\ rm prex2}} $，我们发现了电子散射的质子半径，我们发现$ pred $ pred $ pred $ pred $ per pred $ per pred $ per pred $ per pred $ per prede在$ e _ {\ rm lab} = 534.1、549、806 $ mev。 Zenihiro {\ it el al。 }从质子弹性散射中推论中子半径$ r _ {\ rm n}^{48,40}（{\ rm exp}）$，而我们确定$ r _ {\ rm m}^{\ rm m}^{\ rm 40}（\ rm 40}（\ rm exp}） $^{4} $ he+ $^{40} $ ca散射。我们的第一个目的是确定$ r _ {\ rm skin}^{\ rm 208} $从p+$^{208}的$σ_r$的$σ_r$，$ e _ {\ rm lab} = 534.1，549，549，549，549，806 $ eviage ya使用lf $ t $ -t $ -mmatrix折叠模型。我们的第二个目的是确定$ r _ {\ rm 48} $从$ r _ {\ rm m}^{\ rm 40}（{\ rm exp}）$和$Δ exp}） - r _ {\ rm m}^{\ rm 40}（{\ rm exp}）$，从$ r _ {\ rm n}^{48,40}（{\ rm exp}）$和$ rm n}^{\ rm n}^{\ rm n}^{\ rm exp}）$和$ r _ {用基于电子散射的同位素移位方法计算。对于第一个目标，我们使用LF $ t $ -matrix模型，其密度从D1S-GHFB+AMP中子密度缩放。 D1M-GHFB+AMP用于估计理论误差。由此产生的皮肤值为$ r _ {\ rm skin}^{\ rm 208} = 0.324 \ pm 0.047 $ fm d1s和$ r _ {\ rm skin}^{\ rm 208}（\ rm 208}（{\ rm exp}} $δ= 0.109 $ fm和$ r _ {\ rm m}^{\ rm 40}（{\ rm exp}）= 3.361 \ pm 0.075 $ 0.075 $ fm tables $ r _ {\ rm m}^{\ rm m}^{\ rm 48}皮肤}^{\ rm 48} = 0.144 \ pm 0.075 $ fm。我们得出的结论是，$ r _ {\ rm skin}^{208}（{\ rm exp}）= 0.324 \ pm（0.047）_ {\ rm exp} \ pm（0.009）_ {\ rm th}〜{\ rm th}〜{\ rm fm} $ for p act $ e e^at $ e _______________ 549，806 $ MEV。我们的皮肤值与Prex2和Crex值一致。
The PREX and the CREX group reported their skin values. Using the Love-Franey (LF) $t$-matrix folding model with the neutron and proton densities scaled to the neutron radius $r_{\rm n}^{208}({\rm PREX2})$ and the proton radius of the electron scattering, we found that the model reproduces $σ_R$ for p+ $^{208}$Pb scattering at $E_{\rm lab} = 534.1, 549, 806$MeV. Zenihiro {\it el al. } deduce neutron radii $r_{\rm n}^{48,40}({\rm exp})$ from proton elastic scattering, whereas we determine $r_{\rm m}^{\rm 40}({\rm exp})=3.361 \pm 0.075$fm from measured $σ_R$ for $^{4}$He+ $^{40}$Ca scattering. Our first aim is to determine $r_{\rm skin}^{\rm 208}$ from measured $σ_R$ of p+$^{208}$Pb scattering at $E_{\rm lab} = 534.1, 549, 806$MeV by using the LF $t$-matrix folding model. Our second aim is to determine $r_{\rm skin}^{\rm 48}$ from the $r_{\rm m}^{\rm 40}({\rm exp})$ and $Δ\equiv r_{\rm m}^{\rm 48}({\rm exp})-r_{\rm m}^{\rm 40}({\rm exp})$ that is evaluated from the $r_{\rm n}^{48,40}({\rm exp})$ and the $r_{\rm p}^{48,40}({\rm exp})$ calculated with the isotope shift method based on the electron scattering. For the first aim, we use the LF $t$-matrix model with the densities scaled from the D1S-GHFB+AMP neutron density. The D1M-GHFB+AMP is used to estimate a theoretical error. The resulting skin values are $r_{\rm skin}^{\rm 208}= 0.324 \pm 0.047$fm for D1S and $r_{\rm skin}^{\rm 208}({\rm exp})=0.333 \pm 0.047 $fm for D1M. The $Δ=0.109$fm and $r_{\rm m}^{\rm 40}({\rm exp})=3.361 \pm 0.075$fm yield $r_{\rm m}^{\rm 48}=3.470 \pm 0.075$fm, leading to $r_{\rm skin}^{\rm 48}=0.144 \pm 0.075$fm. We conclude that $r_{\rm skin}^{208}({\rm exp})=0.324 \pm (0.047)_{\rm exp} \pm (0.009)_{\rm th}~{\rm fm}$ for p scattering at $E_{\rm lab} = 534.1, 549, 806$MeV. Our skin values are consistent with the PREX2 and CREX values.
