论文标题

部分可观测时空混沌系统的无模型预测

Two-pion scattering amplitude from Bethe-Salpeter wave function at the interaction boundary

论文作者

Yamazaki, Takeshi, Namekawa, Yusuke

论文摘要

我们观察到,在相互作用范围之外的壳散射幅度与伯特 - 钙板(BS)波函数的比率几乎独立于我们对$ i = 2 $ 2 $两-pion散射的淬灭计算,而动量几乎为零。为了讨论时间独立性,我们提出了两杆散射幅度与边界上BS波函数的表面项之间的关系。使用在某些假设下的关系,我们表明,如果早期的两杆四点函数在散射状态下,除了两杆散射的基态外,该比率与时间无关。

We observe that the ratio of the on-shell scattering amplitude to the Bethe-Salpeter (BS) wave function outside the interaction range is almost independent of time in our quenched calculation of the $I=2$ two-pion scattering with almost zero momentum. In order to discuss the time independence, we present a relation between the two-pion scattering amplitude and the surface term of the BS wave function at the boundary. Using the relation under some assumptions, we show that the ratio is independent of time if the two-pion four-point function in early time is dominated by scattering states with almost zero momentum in addition to the ground state of the two-pion scattering.

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