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arXiv 1005.2491nucl-th
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两核子的三维处理

Treatment of Two Nucleons in Three Dimensions

I. Fachruddin, Ch. Elster, J. Golak, R. Skibinski, W. Gloeckle, H. Witala

摘要:

本文将一种新的处理方法推广到2N散射中,该方法适用于两核子(2N)和三核子(3 N)束缚态。这种技术以动量矢量为变量,从而避免了分波分解,并分析处理自旋算子。我们应用一般的算子结构的核子核子(NN)潜力的NN T-矩阵,它成为一个总和的6项,每一项是标量产品的自旋算子和动量矢量乘以标量函数的矢量动量。将NN力和T矩阵的这种扩展插入到Lippmann-Schwinger方程中,可以通过跟踪来消除自旋依赖性,并产生一组六个耦合方程,用于T矩阵扩展中发现的标量函数。

英文摘要:

We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators analytically. We apply the general operator structure of a nucleon-nucleon (NN) potential to the NN T-matrix, which becomes a sum of six terms, each term being scalar products of spin operators and momentum vectors multiplied with scalar functions of vector momenta. Inserting this expansions of the NN force and T-matrix into the Lippmann-Schwinger equation allows to remove the spin dependence by taking traces and yields a set of six coupled equations for the scalar functions found in the expansion of the T-matrix.

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