English

A toy model for "elementariness"

High Energy Physics - Phenomenology 2022-04-06 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2203.16909,
  title  = {A toy model for "elementariness"},
  author = {Peter C. Bruns},
  journal= {arXiv preprint arXiv:2203.16909},
  year   = {2022}
}

Comments

Added appendix B on the deuteron

R2 v1 2026-06-24T10:33:06.256Z