贝特-萨尔皮特波函数在相互作用边界处的双介子散射振幅

T. Yamazaki, Y. Namekawa
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引用次数: 0

摘要

我们观察到,在我们对几乎为零动量的$I=2$双介子散射的淬灭计算中,壳上散射振幅与相互作用范围外的Bethe-Salpeter (BS)波函数的比值几乎与时间无关。为了讨论双介子散射振幅与边界处BS波函数表面项的时间无关性,我们给出了双介子散射振幅与边界处BS波函数表面项的关系。利用该关系式,在一定的假设条件下,我们证明了如果早期双介子四点函数除了双介子散射的基态外,还被几乎为零动量的散射态所支配,则该比值与时间无关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two-pion scattering amplitude from Bethe-Salpeter wave function at the interaction boundary
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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