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arXiv 1004.5558nucl-th
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π-核子散射的交叉对称势模型

Crossing symmetric potential model of pion-nucleon scattering

B. Blankleider, A. N. Kvinikhidze, T. Skawronski

摘要:

通过在$πN$势模型的缀饰核子传播子上完全附加两个外介子,构造了交叉对称$πN$散射振幅.我们的配方自动提供表达式也交叉对称和规范不变的π光生和康普顿散射振幅。我们表明,我们的振幅是幺正的,如果它们与通过将一个π附加到同一势模型的修饰$πNN$顶点所获得的振幅在壳层上重合。

英文摘要:

A crossing symmetric $πN$ scattering amplitude is constructed through a complete attachment of two external pions to the dressed nucleon propagator of an underlying $πN$ potential model. Our formulation automatically provides expressions also for the crossing symmetric and gauge invariant pion photoproduction and Compton scattering amplitudes. We show that our amplitudes are unitary if they coincide on-shell with the amplitudes obtained by attaching one pion to the dressed $πNN$ vertex of the same potential model.

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