English

Decay of kaonium in a chiral approach

High Energy Physics - Phenomenology 2011-08-09 v4

Abstract

The decay of the K+K- hadronic atom kaonium is investigated non-perturbatively using meson-meson interaction amplitudes taken from leading order chiral perturbation theory in an approach adapted from that proposed by Oller and Oset [18]. The Kudryavtsev-Popov eigenvalue equation is solved numerically for the energy shift and decay width due to strong interactions in the 1s state. These calculations introduce a cutoff ~ 1.4 GeV in O(4) momentum space that is necessary to regulate divergent loop contributions to the meson-meson scattering amplitudes in the strong-interaction sector. One finds lifetimes of 2.2 \pm 0.9 x 10-18s for the ground state of kaonium.

Keywords

Cite

@article{arxiv.1102.1391,
  title  = {Decay of kaonium in a chiral approach},
  author = {S P Klevansky and R H Lemmer},
  journal= {arXiv preprint arXiv:1102.1391},
  year   = {2011}
}

Comments

10 pages, 2 figures. Added new reference to isospin-breaking of scattering length