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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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. |
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DOI: | 10.48550/arxiv.2203.16909 |