arXiv 2009.007962020-09nucl-thnucl-ex

基于带Gogny-D1S Hartree-Fock-Bogoliubov密度的手征g折叠模型对$^{42-51}$Ca在$280$ MeV/核子上$^{12}$C靶散射的重新分析（发表于Results in Physics）

Reanalyses for $^{42-51}$Ca scattering on a $^{12}$C target at $280$ MeV/nucleon based on chiral $g$ folding mode with Gogny-D1S Hartree-Fock-Bogoliubov densities (published in Results in Physics)

Maya Takechi, Tomotsugu Wakasa, Shingo Tagami Jun Matsui, Masanobu Yahiro

备注：: 6 pages, 3 figure

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文利用手征g矩阵折叠模型和GHFB密度重新分析了$^{42-51}$Ca的中子皮，得出$^{48}$Ca的中子皮最终结果为0.157±0.027 fm，与CREX实验相关。

摘要：

在前一篇论文中，我们预测了$^{40-60,62,64}$Ca+$^{12}$C在$280$ MeV/核子散射下的反应截面$σ_{\rm R}$，因为Tanaka等人在RIKEN测量了$^{42-51}$Ca的相互作用截面$σ_{\rm I}$，并使用具有Woods-Saxon密度的Glauber模型光学极限确定了中子皮$r_{\rm skin}({\rm RIKEN})$。我们的目的是从$σ_{\rm I}$重新分析$r_{\rm skin}$。我们的分析优于他们的分析，因为手征g矩阵折叠模型（GHFB和GHFB+AMP密度）远好于Glauber模型的光学极限（Woods-Saxon密度）。我们的模型是手征g矩阵折叠模型，其密度由GHFB和GHFB+AMP密度标度而来。我们对GHFB和GHFB+AMP密度进行标度，使得标度后密度的$σ_{\rm R}$在标度后质子密度等于由基于电子散射的同位素位移确定的数据的条件下，能够与$σ_{\rm I}$的中心值一致。由此确定的$r_{\rm skin}$接近他们的结果$r_{\rm skin}^{42-51}({\rm RIKEN})$。对于$^{48}$Ca，我们的值$r_{\rm skin}^{48}$为0.105 $\pm$ 0.06 fm，而他们的值为$r_{\rm m}^{48}({\rm RIKEN})=0.146 \pm 0.06$ fm。我们取$r_{\rm skin}^{48}(σ_{\rm I})= 0.105 \pm 0.06$ fm与高分辨率$E1$极化率实验（E1{\rm pE}）的$r_{\rm skin}^{48}(E1{\rm pE}) =0.17 \pm 0.03$ fm的加权平均值及其误差。我们的最终结果是$r_{\rm skin}^{48}=0.157 \pm 0.027$ fm。我们的结论是$^{48}$Ca的$r_{\rm skin}^{48}=0.157 \pm 0.027$ fm。对于$^{42-47,49-51}$Ca，我们关于$r_{\rm skin}$的结果与他们的相似。我们对$^{48}$Ca的结果与CREX有关。

英文摘要：

In the previous paper, we predicted reaction cross sections $σ_{\rm R}$ for $^{40-60,62,64}$Ca+$^{12}$C scattering at $280$~MeV/nucleon, since Tanaka {\it el al.} measured interaction cross sections $σ_{\rm I}$ for $^{42-51}$Ca in RIKEN and determined neutron skin $r_{\rm skin}({\rm RIKEN})$ using the optical limit of the Glauber model with the Woos-Saxon densities. Our purpose is to reanalyze the $r_{\rm skin}$ from the $σ_{\rm I}$. Our analysis is superior to theirs, since the chiral $g$-matrix folding model (the GHFB and GHFB+AMP densities) is much better than the optical limit of the Glauber model (the Woos-Saxon densities). Our model is the chiral $g$-matrix folding model with the densities scaled from the GHFB and GHFB+AMP densities. We scale the GHFB and GHFB+AMP densities so that the $σ_{\rm R}$ of the scaled densities can agree with the central values of $σ_{\rm I}$ under the condition that the proton radius of the scaled proton density equals the data determined from the isotope shift based on the electron scattering. The $r_{\rm skin}$ thus determined are close to their results $r_{\rm skin}^{42-51}({\rm RIKEN})$. For $^{48}$Ca, our value $r_{\rm skin}^{48}$ is 0.105 $\pm$ 0.06~fm, while their value is $r_{\rm m}^{48}({\rm RIKEN})=0.146 \pm 0.06$~fm. We take the weighted mean and its error of $r_{\rm skin}^{48}(σ_{\rm I})= 0.105 \pm 0.06$~fm and $r_{\rm skin}^{48}(E1{\rm pE}) =0.17 \pm 0.03$~fm of the high-resolution $E1$ polarizability experiment (E1{\rm pE}). Our final result is $r_{\rm skin}^{48}=0.157 \pm 0.027$~fm. Our conclusion is $r_{\rm skin}^{48}=0.157 \pm 0.027$~fm for $^{48}$Ca. For $^{42-47,49-51}$Ca, our results on $r_{\rm skin}$ are similar to theirs. Our result for $^{48}$Ca is related to CREX.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文