arXiv 2007.071172020-07nucl-thnucl-ex

从宇称破坏电子散射研究核饱和密度

Insights into nuclear saturation density from parity violating electron scattering

C. J. Horowitz, J. Piekarewicz, Brendan Reed

备注：: 6 pages, 3 figures, minor changes, Phys. Rev. C in press
发表信息：: Phys. Rev. C 102, 044321 (2020)
DOI：: 10.1103/PhysRevC.102.044321

摘要：

核物质的饱和密度$ρ_0$是一个基本的核物理性质，很难从基本原理预测。饱和密度与重核（如$^{208}$ Pb）的内部密度密切相关。我们利用宇称破缺电子散射来确定$^{208}$ Pb中平均内部弱电荷密度和重子密度。这不仅需要测量弱半径$R_{\rm wk}$，而且需要确定弱电荷密度$a$的表面厚度。我们得到了$ρ_0=0.150\pm0.010$ fm $^{-3}$，其中7%的误差来自弱半径上的PREX误差、表面厚度$a$中假定的10%的不确定性以及来自无限核物质的外推。这些错误可以改善与即将到来的PREX II的结果，并与一个新的奇偶违反电子散射实验，在更高的动量转移，以确定$a$。

英文摘要：

The saturation density of nuclear matter $ρ_0$ is a fundamental nuclear physics property that is difficult to predict from fundamental principles. The saturation density is closely related to the interior density of a heavy nucleus, such as $^{208}$Pb. We use parity violating electron scattering to determine the average interior weak charge and baryon densities in $^{208}$Pb. This requires not only measuring the weak radius $R_{\rm wk}$ but also determining the surface thickness of the weak charge density $a$. We obtain $ρ_0=0.150\pm0.010$ fm$^{-3}$, where the 7\% error has contributions form the PREX error on the weak radius, an assumed 10\% uncertainty in the surface thickness $a$, and from the extrapolation to infinite nuclear matter. These errors can be improved with the upcoming PREX II results and with a new parity violating electron scattering experiment, at a somewhat higher momentum transfer, to determine $a$.

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