arXiv 1909.008692019-09nucl-th

介子-重子$T$ -矩阵的复相结构

Complex phase structure of the meson-baryon $T$-matrix

Shahab Razavi, K. Nakayama

发表信息：: Phys. Rev. D 100, 114036 (2019)
DOI：: 10.1103/PhysRevD.100.114036

摘要：

用耦合通道方法研究了介子-重子反应振幅的全复相结构，包括光子-重子通道。这个结果可以看作是著名的沃森定理的推广。此外，表现出的反应振幅的极性和非极性部分的复杂的相位结构，以这样的方式，它将作为一个方便的共同的出发点，用于构建具有不同水平的近似模型，特别是，用于构建等压线模型的$S$ -矩阵的基本属性可以保持。这样的模型应该是有用的，特别是在耦合多通道计算，其中大量的实验数据被认为是在共振分析，在现代重子光谱遇到的情况。特别是，它示出的$T$矩阵的极点部分的么正性自动产生的敷料机制中固有的基本散射方程。这意味着，不需要单独的条件，使这部分的共振振幅单一的，因为它已经在一些现有的等压线模型。

英文摘要：

The full complex phase structure of the meson-baryon reaction amplitude in coupled channels approach is investigated, including also the photon-baryon channel. The result may be viewed as a generalization of the well-known Watson's theorem. Furthermore, the complex phase structure is exhibited for the pole and nonpole parts of the reaction amplitude in such a way that it will serve as a convenient common starting point for constructing models with different levels of approximation, in particular, for building isobar models where the basic properties of the $S$-matrix can be maintained. Such models should be useful, especially, in coupled multichannel calculations, where a large amount of experimental data are considered in resonance analyses, a situation encountered in modern baryon spectroscopy. In particular, it is shown that the unitarity of the pole part of the $T$-matrix arises automatically from the dressing mechanism inherent in the basic scattering equation. This implies that no separate conditions are required for making this part of the resonance amplitude unitary as it has been done in some of the existing isobar models.

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