论文标题
$^{12} $ c，$^{40,48} $ ca，$^{58} $ ni，$^{208} $ pb，从质子散射的反应横截面确定的中子皮值和物质和中子半径
Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on $^{12}$C, $^{40,48}$Ca, $^{58}$Ni, $^{208}$Pb
论文作者
论文摘要
最近，prex和Crex协作呈现皮肤值，$ r _ {\ rm skin}^{208}（{\ rm newprex2}）= 0.278 \ pm 0.078 \ pm 0.078 \ {\ rm（exp）} $ r _ {\ rm skin}^{48} = 0.121 \ pm 0.026 \ {\ rm（exp）} \ pm 0.024 \ {\ rm（型号）} $。 We recently determined a neutron-skin value $r_{\rm skin}^{208}=0.278 \pm 0.035$fm from measured reaction cross sections $σ_{\rm R}({\rm exp})$ of p+$^{208}$Pb scattering in a range of incident energies $10 \lsim E_{\rm在} \ lsim 100 $ meV中，手性（kyushu）$ g $ -matrix折叠模型对于$^{12} $ C+$^{12} $ c散射是可靠的。数据$σ_ {\ rm r}（{\ rm exp}）$可用于$^{58} $ ni，$^{40,48} $ ca，$^{12} $ c targets上的质子散射。我们的第一个目的是测试p+$^{208} $ pb散射的kyushu $ g $ -matrix折叠模型，$ 20 \ lsim e _ {\ rm in} \ lsim 180 $ mev。我们的第二个目的是确定皮肤值$ r _ {\ rm skin} $以及物质和中子半径，$ r _ {\ rm m} $和$ r _ {\ rm n} $，对于$^{208} $ pb，$^{58} $σ_ {\ rm r}（{\ rm exp}）$。我们的方法是kyushu $ g $ -matrix折叠型模型，其密度从D1S-GHFB+AMP密度缩放，其中D1S-GHFB+AMP代表具有角动量投影（AMP）的GOGNY-D1S HFB（GHFB）。至于质子散射，我们发现我们的模型在$ 20 \ lsim e _ {\ rm in} \ lsim 180 $ mev中是可靠的。对于$^{208} $ pb，从$σ_{\ rm rm r}（{\ rm exp}）$中推导的皮肤价值，$ 20 \ lsim e _ {\ rm in} \ lsim in} \ lsim 180 $ mev is 180 $ mev is $ r _ \ pm 0.020 $ fm。我们对$ r _ {\ rm skin} $的结果与以前的作品进行了比较。我们的结果$ r _ {\ rm skin}^{208}（σ_{\ rm r}）= 0.299 \ pm 0.020 $ fm与$ r _ {\ rm skin}^{208}（{\ rm prex2}} = 0.283 \ pm pm 0.071 $ fm。此外，我们的结果$ r _ {\ rm skin}^{48} = 0.103 \ pm 0.022 $ fm与Crex值一致。
Very lately, the PREX and the CREX collaboration present skin values, $r_{\rm skin}^{208}({\rm newPREX2}) =0.278 \pm 0.078\ {\rm (exp)} \pm 0.012\ {\rm (theor.)}\,{\rm fm}$ and $r_{\rm skin}^{48}=0.121 \pm 0.026\ {\rm (exp)} \pm 0.024\ {\rm (model)}$, respectively. We recently determined a neutron-skin value $r_{\rm skin}^{208}=0.278 \pm 0.035$fm from measured reaction cross sections $σ_{\rm R}({\rm exp})$ of p+$^{208}$Pb scattering in a range of incident energies $10 \lsim E_{\rm in} \lsim 100$ MeV where the chiral (Kyushu) $g$-matrix folding model is reliable for $^{12}$C+$^{12}$C scattering. The data $σ_{\rm R}({\rm exp})$ are available for proton scattering on $^{58}$Ni, $^{40,48}$Ca, $^{12}$C targets. Our first aim is to test the Kyushu $g$-matrix folding model for p+$^{208}$Pb scattering in $20 \lsim E_{\rm in} \lsim 180$ MeV. Our second aim is to determine skin values $r_{\rm skin}$ and matter and neutron radii, $r_{\rm m}$ and $r_{\rm n}$, for $^{208}$Pb, $^{58}$Ni, $^{40,48}$Ca, $^{12}$C from the $σ_{\rm R}({\rm exp})$. Our method is the Kyushu $g$-matrix folding model with the densities scaled from the D1S-GHFB+AMP densities, where D1S-GHFB+AMP stands for Gogny-D1S HFB (GHFB) with the angular momentum projection (AMP). As for proton scattering, we find that our model is reliable in $20 \lsim E_{\rm in} \lsim 180$ MeV. For $^{208}$Pb, the skin value deduced from $σ_{\rm R}({\rm exp})$ in $20 \lsim E_{\rm in} \lsim 180$ MeV is $r_{\rm skin}^{208}(σ_{\rm R})=0.299 \pm 0.020$ fm. Our results on $r_{\rm skin}$ are compared with the previous works. Our result $r_{\rm skin}^{208}(σ_{\rm R}) = 0.299 \pm 0.020$ fm agrees with $r_{\rm skin}^{208}({\rm PREX2}) = 0.283\pm 0.071$ fm. In addition, our result $r_{\rm skin}^{48}=0.103 \pm 0.022$ fm is consistent with the CREX value.
