Isospin-breaking corrections in the pion-deuteron scattering length

Abstract

It is shown that isospin-breaking corrections to the pion-deuteron scattering length can be very large, because of the vanishing of the isospin-symmetric contribution to this scattering length at leading order in chiral perturbation theory. We further demonstrate that these corrections can explain the bulk of the discrepancy between the recent experimental data on pionic hydrogen and pionic deuterium. We also give the first determination of the electromagnetic low-energy constant f1.

arXiv comment4 pages, 1 postscript figure, uses REVTEX style

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Cited by in corpus (27)

• Modern Theory of Nuclear Forces
• Chiral Perturbation Theory and Baryon Properties
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Cusps in K --> 3 pi decays
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Pionic deuterium
• Remarks on the pion-nucleon sigma-term
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model
• Isospin breaking in the pion-nucleon scattering lengths
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Precision determination of the dpi -> NN transition strength at threshold
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• Effective Field Theory calculations of $NN\to NN\pi$
• Neutron-proton mass difference in isospin asymmetric nuclear matter
• Chiral Dynamics in Photo-Pion Physics: Theory, Experiment, and Future Studies at the HI$\gamma$S Facility
• The s-wave pion-nucleus optical potential
• Determination of the s-wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen
• Hadronic Atoms
• Pion photoproduction in a nonrelativistic theory
• Pion electroproduction in a nonrelativistic theory
• Forward analysis of $\pi$N scattering with an expansion method
• The piNN system - recent progress