Energy levels of mesonic helium in quantum electrodynamics

Author:

V. I. Korobov, A. V. Eskin, A. P. Martynenko, F. A. Martynenko

Keyword:

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Atomic Physics (physics.atom-ph)

journal:

date:

2023-10-25 16:00:00

Abstract

On the basis of variational method we study energy levels of pionic helium $(\pi-e-He)$ and kaonic helium $(K-e-He)$ with an electron in ground state and a meson in excited state with principal and orbital quantum numbers $n\sim l+1\sim 20$. 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.

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