论文标题
从质子+$^{58} $ ni散射的$^{58} $ ni的物质半径和中子皮肤的确定基于手性$ g $ -matrix模型
Determination of matter radius and neutron skin of $^{58}$Ni from reaction cross section of proton+$^{58}$Ni scattering based on chiral $g$-matrix model
论文作者
论文摘要
背景：使用手性（kyushu）$ g $ -matrix折叠模型，其密度使用具有角动量投影（AMP）计算出的密度，我们确定了物质半径和中子皮肤的中心价值从反应横切$σ_{\ rm rm rm rm rm rm}（\ rm rm rm}（\ rm}（ p+$^{40,48} $ ca和p+$^{208} $ pb散射。至于p+$^{58} $ ni散射，$σ_ {\ rm rm}（{\ rm exp}）$可作为Indist Energy $ e _ {\ rm in} $的函数。 目的：我们的目的是确定物质半径$ r_ {m} $和皮肤$ r _ {\ rm skin} $ for $^{58} $ ni从$σ_{\ rm rm r}（\ rm r}（{\ rm exp} $密度。 结果：对于P+$^{58} $ ni散射，带有GHFB+AMP密度的kyushu $ g $ -matrix折叠模型再现$σ_ {\ rm rm rm}（{\ rm exp}）$ in $ 8.8 \ leq e _ {\ leq e _ {对于$ e _ {\ rm in} = 81 $ mev，我们将因子$ f $定义为$ f =σ_{\ rm rm r}（{\ rm exp}）/σ_{\ rm rm rm}（{\ rm amp}）= 0.97775 $。 $fσ_ {\ rm r}（{\ rm amp}）$与$σ_ {\ rm rm r}的中心值大致相同，{\ rm exp}）$ in $ 8.8 \ leq e _ {\ leq e _ {\ rm in} \ rm in} \ leq 81 $ mev。然后，我们使用$σ_{\ rm rm r}（{\ rm exp}）$从中心值确定$ r _ {\ rm m}（{\ rm exp}）$，使用$σ_{\ rm rm r}（{\ rm exp}）$ $ c = r_ {m}^{2}（{\ rm amp}）/（fσ_ {\ rm rm r}（{\ rm amp}））$。因此获得的$ r_ {m}（{\ rm exp}）$在$ e _ {\ rm in} $上平均。平均值为$ r_ {m}（{\ rm exp}）= 3.697 $ fm。最终，我们从$ r _ {\ r _ {\ rm m} = 3.697 $ fm和$ r_p（{\ rm exp}）= 0.023 $ fm获得$ r _ {\ rm skin}（{\ rm exp}）= 0.023 $ fm。
Background: Using the chiral (Kyushu) $g$-matrix folding model with the densities calculated with Gogny-HFB (GHFB) with the angular momentum projection (AMP), we determined the central values of matter radius and neutron skin from the central values of reaction cross sections $σ_{\rm R}({\rm EXP})$ of p+$^{40,48}$Ca and p+$^{208}$Pb scattering. As for p+$^{58}$Ni scattering, $σ_{\rm R}({\rm EXP})$ are available as a function of incident energy $E_{\rm in}$. Aim: Our aim is to determine matter radius $r_{m}$ and skin $r_{\rm skin}$ for $^{58}$Ni from the $σ_{\rm R}({\rm EXP})$ of p+$^{58}$Ni scattering by using the Kyushu $g$-matrix folding model with the GHFB+AMP densities. Results: For p+$^{58}$Ni scattering, the Kyushu $g$-matrix folding model with the GHFB+AMP densities reproduces $σ_{\rm R}({\rm EXP})$ in $8.8 \leq E_{\rm in} \leq 81$MeV. For $E_{\rm in}=81$MeV, we define the factor $F$ as $F=σ_{\rm R}({\rm EXP})/σ_{\rm R}({\rm AMP})=0.9775$. The $Fσ_{\rm R}({\rm AMP})$ be much the same as the center values of $σ_{\rm R}({\rm EXP})$ in $8.8 \leq E_{\rm in} \leq 81$MeV. We then determine $r_{\rm m}({\rm EXP})$ from the center values of $σ_{\rm R}({\rm EXP})$, using $σ_{\rm R}({\rm EXP})=C r_{m}^{2}({\rm EXP})$ with $C=r_{m}^{2}({\rm AMP})/ (Fσ_{\rm R}({\rm AMP}))$. The $r_{m}({\rm EXP})$ thus obtained are averaged over $E_{\rm in}$. The averaged value is $r_{m}({\rm EXP})=3.697$fm. Eventually, we obtain $r_{\rm skin}({\rm EXP})=0.023$fm from $r_{\rm m}=3.697$fm and $r_p({\rm EXP})=3.685$fm of electron scattering.
