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arXiv 2106.00151nucl-th
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~(295)MeV质子在$^{204,206,208}$ Pb上散射的同位素分析

Isotopic analysis of 295 MeV proton scattering off $^{204,206,208}$Pb for improvement of neutron densities and radii

Yoshiko Kanada-En'yo

摘要:

本文提出了一种新的质子弹性散射反应分析方法,它将核结构和系列同位素反应的系统分析结合起来。将该方法应用于$E_p=295$ MeV的$^{204}$ Pb $(p,p)$、$^{206}$ Pb $(p,p)$和$^{208}$ Pb $(p,p)$,以从实验截面数据获得改进的中子密度和半径。反应计算是根据相对论冲量近似,使用修正的Murdock和Horowitz模型与密度依赖的有效$NN$相互作用。Pb同位素的分析是使用相对论Hartree-Bogoliubov和非相对论Skyrme Hartree-Fock-Bogoliubov计算的理论密度和从$(p,p)$数据中提取的295 MeV的实验密度进行的。结合$^A$ Pb和$^{208}$ Pb之间中子密度$(ρ_n(r))$和半径$(r_n)$的同位素差异($D(ρ_n)$和$D(r_n)$),分析了$^{A}$ Pb $(p,p)$ -至- $^{206}$ Pb $(p,p)$截面的同位素比($R(σ)$)。假设$^{204}$ Pb和$^{206}$ Pb作为$^{208}$ Pb核心和中子孔,进行孔模型分析,以阐明同位素结构性质(例如$D(ρ_n)$和$D(r_n)$)与同位素横截面比之间的一一对应关系。通过对$R(σ)$的拟合,从实验数据中提取了结构和反应模型不确定性较小的$D(ρ_n)$和$D(r_n)$值。$^{206}$ Pb和$^{208}$ Pb之间的同位素中子半径差以$D(r_n)=-0.012$ fm表示,可接受范围为$D(r_n)=-0.03 \sim -0.006$ fm。

英文摘要:

A new method of reaction analysis for proton elastic scattering is proposed, combining systematic analyses of nuclear structure and reactions in a series of isotopes. This method is applied to $^{204}$Pb$(p,p)$, $^{206}$Pb$(p,p)$, and $^{208}$Pb$(p,p)$ at $E_p=295$ MeV to obtain improved neutron densities and radii from experimental cross section data. The reaction calculation is performed according to the relativistic impulse approximation using the modified Murdock and Horowitz model with density-dependent effective $NN$ interaction. Analysis of Pb isotopes is performed using theoretical densities given by the relativistic Hartree-Bogoliubov and nonrelativistic Skyrme Hartree-Fock-Bogoliubov calculations and the experimental density extracted from the $(p,p)$ data at 295 MeV. The isotopic ratios ($R(σ)$) of the $^{A}$Pb$(p,p)$-to-$^{206}$Pb$(p,p)$ cross sections are analyzed in connection with the isotopic differences ($D(ρ_n)$ and $D(r_n)$) in neutron densities $(ρ_n(r))$ and radii $(r_n)$ between $^A$Pb and $^{208}$Pb. A hole-model analysis is performed, assuming $^{204}$Pb and $^{206}$Pb as a $^{208}$Pb core and neutron holes to clarify the one-to-one correspondence between isotopic structure properties such as $D(ρ_n)$ and $D(r_n)$ and the isotopic cross-section ratio. By fitting $R(σ)$, the values of $D(ρ_n)$ and $D(r_n)$ are extracted from the experimental $(p,p)$ cross section data with less uncertainty of the structure and reaction models. The isotopic neutron radius difference between $^{206}$Pb and $^{208}$Pb was obtained as $D(r_n)=-0.012$ fm with an acceptable range of $D(r_n)=-0.03 \sim -0.006$ fm.

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。

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