Köln 2004 – wissenschaftliches Programm
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HK: Physik der Hadronen und Kerne
HK 5: Theory I
HK 5.8: Vortrag
Montag, 8. März 2004, 17:45–18:00, D
Ground-state energy of pionic hydrogen to one loop — •E. Lipartia1, J. Gasser2, M.A. Ivanov3, M. Mojzis4, and A. Rusetsky5 — 1Institute for Theoretical Physics (T39), TU München, Germany — 2ITP, Univesity of Bern, Bern Switzerland — 3BLTP, JINR, Dubna, Russia — 4Departmet of Physics, Univesity of Massachusetts, Amherst, USA — 5HISKP, Bonn Univesity, Bonn, Germany
We investigate the ground-state energy of the π−N atom (pionic hydrogen) in the framework of QCD and 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 infrared regularized 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. Work supported by Swiss National Science Foundation.
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[1] J. Gasser, M.A. Ivanov, E. Lipartia, M. Mojzis, A. Rusetsky,
[2] Eur.Phys.J.C26:13-34,2002.