English

Negative energy states in pionic hydrogen

High Energy Physics - Phenomenology 2022-07-18 v2 Atomic Physics

Abstract

Probabilities of finding an antiparticle in an atom or ion containing a particle of spin 1/2 or spin 0 are determined. The spin 1/2 case was previously solved by Hans Bethe and his work is summarized. The spin 0 case is treated numerically for an arbitrary atomic number and analytically for small atomic numbers. The main tool for the spin 0 case is the Feshbach-Villars representation of the Klein-Gordon equation.

Keywords

Cite

@article{arxiv.2202.03538,
  title  = {Negative energy states in pionic hydrogen},
  author = {Andrzej Czarnecki},
  journal= {arXiv preprint arXiv:2202.03538},
  year   = {2022}
}

Comments

limit of integration in eq. (19) corrected; conclusions unchanged

R2 v1 2026-06-24T09:25:09.714Z