Journal Article PreJuSER-24179

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Analysis of the pion-kaon sigma term and related topics

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2002
Springer Berlin

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Abstract: We calculate the one-loop contributions to the difference Delta(piK) between the isoscalar on-shell pion-kaon scattering amplitude at the Cheng-Dashen point and the scalar form factor Gamma(K)(2M(pi)(2)) in the framework of three flavor chiral perturbation theory. These corrections turn out to be small. This is further sharpened by treating the kaons as heavy fields (two flavor chiral perturbation theory). We also analyze the two-loop corrections to the kaon scalar form factor based on a dispersive technique, We find that these corrections are smaller than in the comparable case of the scalar form factor of the pion, This is related to the weaker final state interactions in the pion-kaon channel.

Keyword(s): pi K: scattering amplitude ; pi K: sigma term ; form factor: scalar ; perturbation theory: chiral ; Feynman graph: higher-order ; dispersion relation ; numerical calculations


Note: Record converted from VDB: 12.11.2012; 25 pp, 3 figs Report-no: FZJ-IKP(TH)-2002-07

Contributing Institute(s):
  1. Institut 3 (Theoretische Kernphysik) (IKP-TH)
Research Program(s):
  1. Physik der Hadronen (M01)

Appears in the scientific report 2002
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 Record created 2012-11-13, last modified 2020-04-23