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arXiv 0903.4337nucl-th
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介子交换模型中散射振幅和共振参数的解析性质

Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model

M. Döring, C. Hanhart, F. Huang, S. Krewald, U. -G. Meißner

摘要:

散射振幅的解析性质提供了重要的信息。除了切割,极点和零点上的不同的黎曼面确定的整体行为的振幅在物理轴上。极点位置和残基允许以明确定义的方式对共振进行参数化,而无需对共振部分的背景和能量依赖性进行假设。这是将不同反应中的共振贡献联系起来的必要条件。本文在基于介子交换的解析模型中,确定了介子-核子散射的极结构。为此,确定了幅值的片结构。为了显示共振提取的精度并讨论共振干扰等现象,我们更详细地讨论了S11振幅。

英文摘要:

The analytic properties of scattering amplitudes provide important information. Besides the cuts, the poles and zeros on the different Riemann sheets determine the global behavior of the amplitude on the physical axis. Pole positions and residues allow for a parameterization of resonances in a well-defined way, free of assumptions for the background and energy dependence of the resonance part. This is a necessary condition to relate resonance contributions in different reactions. In the present study, we determine the pole structure of pion-nucleon scattering in an analytic model based on meson exchange. For this, the sheet structure of the amplitude is determined. To show the precision of the resonance extraction and discuss phenomena such as resonance interference, we discuss the S11 amplitude in greater detail.

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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