Breit Hamiltonian and QED Effects for Spinless Particles
U. D. Jentschura, G. Soff, P. J. Indelicato
Abstract
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 analyze further corrections due to the self-energy of the pions, and due 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 order α5 α for S states.
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