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Ground-state energy of pionic hydrogen to one loop
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We investigate the ground-state energy of the pi- p atom (pionic hydrogen) in the framework of QCD+QED. In particular, we evaluate the strong energy-level shift. We perform the calculation at next-to-leading order in the low-energy expansion in the framework of the relevant effective field theory. The result provides a relation between the strong energy shift and the pion-nucleon S-wave scattering lengths - evaluated in pure QCD - at next-to-leading order in isospin breaking and in the low-energy expansion. We compare our result with available model calculations.
Forward citations
Cited by 2 Pith papers
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Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory
The complete order-M^4 two-loop corrections to g_A are derived in EOMS and infrared covariant baryon chiral perturbation theory and evaluated with scattering-derived low-energy constants.
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Hadronic atoms
A pedagogical survey of non-relativistic effective field theory for hadronic atoms, restating the known next-to-leading-order formulas for the pionic hydrogen energy shift and width.
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