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

Abstract

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.

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

References in corpus (8)

• Hadronic atoms in QCD + QED
• Pionic deuterium
• Isospin breaking in the pion-nucleon scattering lengths
• Hadronic Interactions from Lattice QCD
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• The Goldberger-Miyazawa-Oehme sum rule revisited

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