arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2403.17543nucl-th
收藏

利用微观光学势确定核物质半径:以$^{78}$Kr为例

Determination of nuclear matter radii by means of microscopic optical potentials: the case of $^{78}$Kr

Matteo Vorabbi, Paolo Finelli, Carlotta Giusti

AI总结:

本文利用无唯象输入的因子化微观光学势和2pF密度分布分析了$^{78}$Kr(p,p)反应弹性散射数据,提取出物质半径与中子皮,为确定对称能斜率参数$L$提供了关键信息。

摘要:

在本工作中,我们使用微观核子-原子核光学势(OP)来分析$^{78}$Kr (p,p) $^{78}$Kr反应微分截面的弹性散射数据,旨在提取物质半径并估算中子皮,这两个量都是确定核对称能斜率参数$L$所必需的。我们的分析采用了一系列先前论文中在Watson多次散射理论的一阶旁观者展开框架内推导出的因子化微观OP,该理论基于底层核子-核子动力学且无需任何唯象输入。与先前的应用不同,质子和中子密度使用双参数Fermi(2pF)分布来描述,这使得物质半径的提取更加容易,并允许我们与最初使用Glauber模型进行的分析进行有意义的比较。我们使用标准最小化技术进行了数据分析并提取了物质半径和中子皮。我们的分析得出物质半径为$R_m^{\rm (rms)} = 4.12$ fm,与先前从$^{76}$Kr和$^{80}$Kr提取的物质半径吻合良好;中子皮为$ΔR_{np} \simeq - 0.1$ fm,与先前的分析相容。我们结合2pF密度的因子化微观OP是分析实验微分截面并提取诸如物质半径和中子皮等信息的宝贵工具。在没有任何自由参数的情况下,它对散射角高达$\approx$ 40度的实验微分截面提供了相当好的描述。与Glauber模型相比,我们的OP可应用于更宽的散射角范围,并允许人们探测核系统更内部的区域。

英文摘要:

In this work we use microscopic Nucleon-Nucleus Optical Potentials (OP) to analyze elastic scattering data for the differential cross section of the $^{78}$Kr (p,p) $^{78}$Kr reaction, with the goal of extracting the matter radius and estimating the neutron skin, quantities that are both needed to determine the slope parameter $L$ of the nuclear symmetry energy. Our analysis is performed with the factorized version of the microscopic OP obtained in a previous series of papers within the Watson multiple scattering theory at the first order of the spectator expansion, which is based on the underlying nucleon-nucleon dynamics and is free from phenomenological inputs. Differently from our previous applications, the proton and neutron densities are described with a two-parameter Fermi (2pF) distribution, which makes the extraction of the matter radius easier and allows us to make a meaningful comparison with the original analysis, that was performed with the Glauber model. With standard minimization techniques we performed data analysis and extracted the matter radius and the neutron skin. Our analysis produces a matter radius of $R_m^{\rm (rms)} = 4.12$ fm, in good agreement with previous matter radii extracted from $^{76}$Kr and $^{80}$Kr, and a neutron skin of $ΔR_{np} \simeq - 0.1$ fm, compatible with a previous analysis. Our factorized microscopic OP, supplied with 2pF densities, is a valuable tool to perform the analysis of the experimental differential cross section and extract information such as matter radius and neutron skin. Without any free parameters it provides a reasonably good description of the experimental differential cross section for scattering angles up to $\approx$ 40 degrees. Compared to the Glauber model our OP can be applied to a wider range of scattering angles and allows one to probe the nuclear systems in a more internal region.

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。

↑