arXiv 1010.36292010-10nucl-thhep-phnucl-ex

质子电荷和磁密度的真实横向图像

Realistic Transverse Images of the Proton Charge and Magnetic Densities

Siddharth Venkat, John Arrington, Gerald A. Miller, Xiaohui Zhan

备注：: 11 pages, 9 figures
发表信息：: Phys.Rev.C83:015203,2011
DOI：: 10.1103/PhysRevC.83.015203

摘要：

我们开发了一种技术，表示为有限半径近似（FRA），使用一个二维版本的香农-奈奎斯特采样定理，以确定横向密度和它们的不确定性从实验量。在高$Q^2$的形状因子和缺乏测量数据的实验不确定性所产生的undiscrimination进行处理。FRA的关键特征是在$Q^2$的给定值处测量的形状因子与坐标空间中的确定区域相关。一个确切的关系之间的FRA和使用贝塞尔级数推导。质子狄拉克形状因子是足够公知的，使得除了横向间隔$b$小于约0.1 fm之外，横向电荷密度是非常精确地已知的。泡利形状因子对于大约10 GeV的$^2$的$Q^2$是众所周知的，并且这允许合理的但可改进的异常磁矩密度的确定。

英文摘要：

We develop a technique, denoted as the finite radius approximation (FRA), that uses a two-dimensional version of the Shannon-Nyquist sampling theorem to determine transverse densities and their uncertainties from experimental quantities. Uncertainties arising from experimental uncertainties on the form factors and lack of measured data at high $Q^2$ are treated. A key feature of the FRA is that a form factor measured at a given value of $Q^2$ is related to a definite region in coordinate space. An exact relation between the FRA and the use of a Bessel series is derived. The proton Dirac form factor is well enough known such that the transverse charge density is very accurately known except for transverse separations $b$ less than about 0.1 fm. The Pauli form factor is well known to $Q^2$ of about 10 GeV$^2$, and this allows a reasonable, but improvable, determination of the anomalous magnetic moment density.

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