Breit Hamiltonian and Quantum Electrodynamic Effects for Spinless Particles
We describe a simplified derivation for the relativistic corrections of order α4 for a bound system consisting of two spinless particles. We devote special attention to pionium, the bound system of two oppositely charged pions. The leading quantum electrodynamic (QED) correction to the energy levels is of the order of α3 and due to electronic vacuum polarization. We analyse further corrections due to the self-energy of the pions and to recoil effects, and we give a complete result for the scalar-QED leading logarithmic corrections which are due to virtual loops involving only the scalar constituent particles (the pions); these corrections are of the order of α5 ln α for S states.
U. D. Jentschura et al., "Breit Hamiltonian and Quantum Electrodynamic Effects for Spinless Particles," Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 35, no. 11, pp. 2459-2468, IOP Publishing, Jun 2002.
The definitive version is available at https://doi.org/10.1088/0953-4075/35/11/305
Keywords and Phrases
Electron Energy Levels; Hamiltonians; Polarization; Vacuum; Quantum Electrodynamics (QED); Quantum Electronics
International Standard Serial Number (ISSN)
Article - Journal
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