English

The few-body universality is not exact for more than three particles

Mathematical Physics 2012-11-05 v1 math.MP

Abstract

In the literature it is conjectured that the ground state energies of three and four bosons are universally related for all pair-interactions given that two bosons have a zero energy resonance and no negative energy bound states. Here it is proved analytically that such relation cannot be exact.

Keywords

Cite

@article{arxiv.1211.0433,
  title  = {The few-body universality is not exact for more than three particles},
  author = {Dmitry K. Gridnev},
  journal= {arXiv preprint arXiv:1211.0433},
  year   = {2012}
}