DOE OSTI · 21596616
Quantum-electrodynamics corrections in pionic hydrogen
Abstract
We investigate all pure quantum-electrodynamics corrections to the np{yields}1s, n=2-4 transition energies of pionic hydrogen larger than 1 meV, which requires an accurate evaluation of all relevant contributions up to order {alpha}{sup 5}. These values are needed to extract an accurate strong interaction shift from experiment. Many small effects, such as second-order and double vacuum polarization contribution, proton and pion self-energies, finite size and recoil effects are included with exact mass dependence. Our final value differs from previous calculations by up to {approx_equal}11 ppm for the 1s state, while a recent experiment aims at a 4 ppm accuracy.
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Schlesser, S, Le Bigot, E -O, Indelicato, P, Pachucki, K. 2011-07-15. Quantum-electrodynamics corrections in pionic hydrogen. https://doi.org/10.1103/physrevc.84.015211
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