English

Energy levels of mesonic helium in quantum electrodynamics

High Energy Physics - Phenomenology 2023-11-21 v2 Atomic Physics

Abstract

On the basis of variational method we study energy levels of pionic helium (πeHe)(\pi-e-He) and kaonic helium (KeHe)(K-e-He) with an electron in ground state and a meson in excited state with principal and orbital quantum numbers nl+120n\sim l+1\sim 20. Variational wave functions are taken in the Gaussian form. Matrix elements of the basic Hamiltonian and corrections to vacuum polarization and relativism are calculated analytically in a closed form. We calculate some bound state energies and transition frequencies which can be studied in the experiment.

Keywords

Cite

@article{arxiv.2310.17508,
  title  = {Energy levels of mesonic helium in quantum electrodynamics},
  author = {V. I. Korobov and A. V. Eskin and A. P. Martynenko and F. A. Martynenko},
  journal= {arXiv preprint arXiv:2310.17508},
  year   = {2023}
}

Comments

12 pages, 6 figures