论文标题

三体散射的B矩阵形式主义中的绑定状态

Bound states in the B-matrix formalism for the three-body scattering

论文作者

Dawid, Sebastian M., Szczepaniak, Adam P.

论文摘要

我们考虑了一个相对论的三体散射模型,并在两体子渠道中具有结合状态。我们表明,幼稚的K-Matrix类型参数化,这里称为B-Matrix,在物理区域附近具有非物理奇异性。我们通过使用分散关系来展示如何消除这种奇异性,并通过考虑所有相关的开放渠道来展示如何重现单位性关系。

We consider a model of relativistic three-body scattering with a bound state in the two-body sub-channel. We show that the naïve K-matrix type parametrization, here referred to as the B-matrix, has nonphysical singularities near the physical region. We show how to eliminate such singularities by using dispersion relations and also show how to reproduce unitarity relations by taking into account all relevant open channels.

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