Baru, V.
[VerfasserIn];
Hanhart, C.
[VerfasserIn];
Hoferichter, M.
[VerfasserIn];
Kubis, B.
[VerfasserIn];
Nogga, A.
[VerfasserIn];
Phillips, D. R.
[VerfasserIn]
Precision calculation of threshold pi(-)d scattering, pi N scattering lengths, and the GMO sum rule
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Medientyp:
E-Artikel
Titel:
Precision calculation of threshold pi(-)d scattering, pi N scattering lengths, and the GMO sum rule
Beteiligte:
Baru, V.
[VerfasserIn];
Hanhart, C.
[VerfasserIn];
Hoferichter, M.
[VerfasserIn];
Kubis, B.
[VerfasserIn];
Nogga, A.
[VerfasserIn];
Phillips, D. R.
[VerfasserIn]
Anmerkungen:
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Beschreibung:
We use chiral perturbation theory (ChPT) to calculate the pi(-)d scattering length with an accuracy of a few percent, including isospin-violating corrections in both the two- and three-body sectors. In particular, we provide the technical details of a recent letter (Baru et al., 2011) [1], where we used data on pionic deuterium and pionic hydrogen atoms to extract the isoscalar and isovector pion-nucleon scattering lengths a(+) and a(-). We study isospin-breaking contributions to the three-body part of a(pi-d) due to mass differences, isospin violation in the pi N scattering lengths, and virtual photons. This last class of effects is ostensibly infrared enhanced due to the smallness of the deuteron binding energy. However, we show that the leading virtual-photon effects that might undergo such enhancement cancel, and hence the standard ChPT counting provides a reliable estimate of isospin violation in a(pi-d) due to virtual photons. Finally, we discuss the validity of the Goldberger-Miyazawa-Oehme sum rule in the presence of isospin violation, and use it to determine the charged-pion-nucleon coupling constant. (C) 2011 Elsevier B.V. All rights reserved.