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Chiral SU(2)×SU(2) Symmetry in the πK Scattering

J. S. Kang

  • Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11790

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Phys. Rev. D 7, 2636 – Published 1 May, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.2636

Abstract

The chiral SU(2)×SU(2) symmetry is studied for the πK scattering in the scheme of the linear realization. Roskies-type relations are used for the crossing symmetry, and the relativistic version of the effective-range approximation is imposed on for unitarity. Two alternatives of the up-down ambiguity for the I=12,0+ resonance are investigated, and our analysis favors the up-solution with κ(870). The σ term in the πK scattering is estimated to be about −1.1 mπ2. This is another measure of the chiral SU(2)×SU(2) breaking and is consistent with other features of the symmetry breaking. Finally the threshold effect on the Kl3 form factor is studied and compared with experiment.

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Phys. Rev. D 7, 2636– Published 1 May, 1973
  • Received 31 October 1972

© 1973 American Physical Society

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