Application of hard-pion four-point functions to pion-pion scattering

Published

Journal Article (Academic article)

Application of hard-pion four-point functions is made to ππ scattering on the basis of the SU(2)×SU(2) current algebra, a conserved vector current, a partially conserved axial-vector current, and the hypothesis of single-meson dominance of intermediate states in T products. The calculation uses techniques previously developed for exploiting the content of the current algebra and the subsidiary conditions for an N-point process. The ππ scattering amplitude is shown to include, besides the well-known pole diagrams, a set of seagull terms. The Weinberg scattering lengths and effective ranges are found to be accurate to within a few percent, since the hard-pion corrections at threshold are only of O(mπ2/mρ2). In the low-energy region, the scattering-phase shifts are seen to be generally small and essentially model-independent, while at the K-meson mass δ00-δ02≃35°. All existing data (up to 1 GeV) can be fitted by adjusting one model-dependent parameter

Duke Authors

Cited Authors

  • Arnowitt, R; Friedman, MH; Nath, P; Suitor, R

Published Date

  • 1968

Published In

  • Phys. Rev. (Usa)

Volume / Issue

  • 175 / 5

Start / End Page

  • 1820 - 1831