Energy levels of mesonic helium in quantum electrodynamics

2023/10/26 by V. I. Korobov, Korobov, V. I., A. V. Eskin +5 · 1 citation
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum and Classical Electrodynamics #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2310.17508

openalex publication_date 2023/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Quantum calculation of the collision-induced line-shape effects in antiprotonic helium and the new accurate ab initio pHe⁺-He potential energy surface

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