论文标题
中子分布的均方根和来自电子散射的皮肤厚度
The mean square radius of the neutron distribution and the skin thickness derived from electron scattering
论文作者
论文摘要
核电荷密度（$ r^2_c $）的二阶力矩由点质子分布（$ r_p^2 $）的均方根半径（MSR）主导，而第四阶矩（$ q^4_c $）也取决于点中子一（$ r_n^2 $）的MSR。此外，$ r^2_n $在核模型中与$ r^2_c $密切相关。根据这些事实，使用$^{40} $ CA，$^{48} $ CA和$^{208} $ PB的最小二乘方法研究了核平均场模型中各个时刻之间的线性关系。从获得的直线的交点与通过电子散射确定的$ r^2_c $的实验值和实验值的相交点，估计了$ r_p $和$ r_n $的值。由于相对论和非权威主义模型提供了不同的行，因此获得的$ r_n $的值和皮肤厚度（$ r_n-r_p $）在两个框架中彼此不同。
The second-order moment of the nuclear charge density($R^2_c$) is dominated by the mean square radius(msr) of the point proton distribution($R_p^2$), while the fourth-order moment($Q^4_c$) depends on the msr of the point neutron one($R_n^2$) also. Moreover, $R^2_n$ is strongly correlated to $R^2_c$ in nuclear models. According to these facts, the linear relationship between various moments in the nuclear mean field models are investigated with use of the least squares method for $^{40}$Ca, $^{48}$Ca and $^{208}$Pb. From the intersection points of the obtained straight lines with those of the experimental values for $R^2_c$ and $Q^4_c$ determined through electron scattering, the values of $R_p$ and $R_n$ are estimated. Since relativistic and non-relativistic models provide different lines, the obtained values of $R_n$ and the skin thickness($R_n-R_p$) differ from each other in the two frameworks.
