Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering

Details Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering

2010-03-23

arxiv.org/abs/1003.4444v2

Phys.Lett.B694:473-477,2011

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 figures. Discussion of several points expanded, references added in this version, which will appear in Physics Lett

Scientific paper

10.1016/j.physletb.2010.10.028

We present a calculation of the pi^- d scattering length with an accuracy of a few percent using chiral perturbation theory. For the first time isospin-violating corrections are included consistently. Using data on pionic deuterium and pionic hydrogen atoms, we extract the isoscalar and isovector pion-nucleon scattering lengths and obtain a^+=(7.6 +/- 3.1) x 10^{-3} mpi^{-1} and a^-=(86.1 +/- 0.9) x 10^{-3} mpi^{-1}. Via the Goldberger-Miyazawa-Oehme sum rule, this leads to a charged-pion-nucleon coupling constant g_c^2/4 pi = 13.69 +/- 0.20.

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