Energy levels of mesonic helium in quantum electrodynamics
Abstract
On the basis of variational method we study energy levels of pionic helium (π-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 l+1 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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