论文标题

“元素”的玩具模型

A toy model for "elementariness"

论文作者

Bruns, Peter C.

论文摘要

由于最近的努力,我们将在近乎阈值结束的状态下分析温伯格的关系的校正方面的努力,我们将在核心潜力的非权利主义散射中进行启发性的玩具模型。该模型允许在高“合成性”的结合状态配置之间进行插值,其中波函数分布在相互作用范围之外的宽区域上,而高“元素”的紧凑型配置将波函数限制在电势中心周围的小区域。

Motivated by recent efforts to analyze corrections to Weinberg's relations for the scattering length and effective range in the presence of a near-threshold bound state, we play around with an instructive toy model for non-relativistic scattering in a central potential. The model allows to interpolate between bound-state configurations of high "compositeness", where the wave function is spread over a wide region beyond the range of the interaction, and compact configurations of high "elementariness", where the wave function is confined to a small region around the center of the potential.

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