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arXiv 0805.4396nucl-th
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准弹性电子散射中库仑畸变的程函分析

Eikonal analysis of Coulomb distortion in quasi-elastic electron scattering

J. A. Tjon, S. J. Wallace

摘要:

程函展开用于通过阶数$1/k^2$提供对程函近似的系统校正,其中$k$是波数。得到了具有库仑势的狄拉克方程的电子波函数。它们被用来研究准弹性电子与原子核散射的畸变波矩阵元。一种形式的有效动量近似得到使用依赖于几何的程函相位和聚焦因子。将库仑畸变效应固定在核中心,恢复了常用的ema近似。这些近似的比较与充分的计算使用电子程函波函数。电子探针的计算结果与全过程的计算结果吻合得很好。

英文摘要:

An eikonal expansion is used to provide systematic corrections to the eikonal approximation through order $1/k^2$, where $k$ is the wave number. Electron wave functions are obtained for the Dirac equation with a Coulomb potential. They are used to investigate distorted-wave matrix elements for quasi-elastic electron scattering from a nucleus. A form of effective-momentum approximation is obtained using trajectory-dependent eikonal phases and focusing factors. Fixing the Coulomb distortion effects at the center of the nucleus, the often-used ema approximation is recovered. Comparisons of these approximations are made with full calculations using the electron eikonal wave functions. The ema results are found to agree well with the full calculations.

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