Isospin violation in low-energy charged pion-kaon scattering

Abstract

We evaluate the isospin breaking corrections to the scattering amplitude π^- K^+ -> π^- K^+ at threshold in the framework of chiral perturbation theory. This channel is of particular interest for the strong 2S-2P energy level shift in pion-kaon bound states. While a prediction of this level shift is hampered by a large uncertainty in the isoscalar scattering length, we find only a moderate uncertainty of about 3% in the electromagnetic corrections which are relevant for the extraction of the scattering lengths from experiment

9 pp, 2 figs

References in corpus (4)

• The quark condensate from K_{e_4} decays
• Decays of the pi+ pi- atom
• Comparison of Pion-Kaon Scattering in SU(3) Chiral Perturbation Theory and Dispersion Relations
• Zweig rule violation in the scalar sector and values of low-energy constants

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• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Hadronic Interactions from Lattice QCD
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• Lattice study on $\pi K$ scattering with moving wall source
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• The expansion by regions in pi K scattering
• Explicit generating functional for pions and virtual photons
• Isospin odd pi K scattering length
• Observation of ${\pi }^{-}{K}^{+}$ and ${\pi }^{+}{K}^{-}$ atoms
• Measurement of the $\pi K$ atom lifetime and the $\pi K$ scattering length
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Energy and decay width of the pi-K atom
• Chiral dynamics with strange quarks: Mysteries and opportunities