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Ground-state energy of pionic hydrogen to one loop

By J Gasser, MA Ivanov, Edisher Lipartia, M Mojzis and A Rusetsky


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

Topics: Subatomic Physics
Publisher: 'Springer Science and Business Media LLC'
Year: 2002
DOI identifier: 10.1007/s10052-002-1013-z
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