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arXiv 0704.0705nucl-th
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A(e,e 'p)的二阶程函修正

Second-Order Eikonal Corrections for A(e,e'p)

B. Van Overmeire, J. Ryckebusch

摘要:

在解释$A(e,e'p)$测量结果时,经常采用一阶程函近似。例如,Glauber计算通常采用一阶程函近似。我们提出了一个扩展的相对论程函方法$A(e,e'p)$,占二阶程函修正。数值计算是在相对论光学模型程函近似下进行的。核透明度的结果表明,即使在$Q^{2} \approx 0.2$(GeV/c)$^2$下,二级程函修正的影响也是相当小的.这同样适用于偏振观测值,左右不对称性,和微分截面在低缺失动量。然而,在高缺失动量,二阶程函修正是显着的,使计算更接近的数据和/或采用分波展开模型的精确结果。

英文摘要:

The first-order eikonal approximation is frequently adopted in interpreting the results of $A(e,e'p)$ measurements. Glauber calculations, for example, typically adopt the first-order eikonal approximation. We present an extension of the relativistic eikonal approach to $A(e,e'p)$ which accounts for second-order eikonal corrections. The numerical calculations are performed within the relativistic optical model eikonal approximation. The nuclear transparency results indicate that the effect of the second-order eikonal corrections is rather modest, even at $Q^{2} \approx 0.2$ (GeV/c)$^2$. The same applies to polarization observables, left-right asymmetries, and differential cross sections at low missing momenta. At high missing momenta, however, the second-order eikonal corrections are significant and bring the calculations in closer agreement with the data and/or the exact results from models adopting partial-wave expansions.

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