English

Spatial interpretation of "compositeness" for finite-range potentials

High Energy Physics - Phenomenology 2019-05-23 v1

Abstract

We discuss the relation between the "compositeness" of an s-wave bound state, as derived from a related partial wave scattering amplitude, and the corresponding spatial probability densities, for the case of spherically symmetric, energy-independent finite-range potentials in non-relativistic quantum mechanics. We find that in this simple case "compositeness" is a measure for the probability to find the constituents separated by a distance greater than the interaction range.

Keywords

Cite

@article{arxiv.1905.09196,
  title  = {Spatial interpretation of "compositeness" for finite-range potentials},
  author = {Peter C. Bruns},
  journal= {arXiv preprint arXiv:1905.09196},
  year   = {2019}
}
R2 v1 2026-06-23T09:17:49.911Z