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arXiv 0907.0115nucl-th
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玻恩近似在核散射路径积分表示中的有效性

Validity of Born Approximation for Nuclear Scattering in Path Integral Representation

M. R. Pahlavani, R. Morad

摘要:

利用$ {\cal T} $矩阵的路径积分表示研究了第一、第二玻恩近似。计算了Woods-Saxon势散射的$ {\cal T}$矩阵。为了使相应的积分解析可解,近似函数的伍兹-撒克逊潜在的使用。最后证明了玻恩级数在高能处收敛,玻恩近似级数中大于2的阶数可以忽略。

英文摘要:

The first and second Born approximation are studied with the path integral representation for $ {\cal T} $ matrix. The $ {\cal T}$ matrix is calculated for Woods-Saxon potential scattering. To make corresponding integrals solvable analytically, an approximate function for the Woods-Saxon potential is used. Finally it shown that the Born series is converge at high energies and orders higher than two in Born approximation series can be neglected.

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。

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