A toy model for "elementariness"

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 inte...

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1. Verfasser: Bruns, Peter C
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2203.16909