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.
Version accepted for publication in Eur. Phys. J. C; Eq. (B8) corrected, comment after Eq. (B11) changed, additional minor changes in the text; preprint number added

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High Energy Physics - Phenomenology

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http://salesiana.dossiersoluciones.com/handle/123456789/214859

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-ph/0206068
 http://arxiv.org/abs/hep-ph/0206068
 Eur.Phys.J.C26:13-34,2002
 doi:10.1007/s10052-002-1013-z

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arXiv