I=0, s-wave pi + pi ---> k + anti-k interaction near threshold

1969
20 pages
Published in:
  • Nuovo Cim.A 64 (1969) 55-74

Citations per year

197019711972197312
Abstract: (Springer)
An analysis of theI=0,S-waveππKK\pi \pi\to {\rm K}\overline {\rm K} interaction near threshold has been carried out using a complex effective-range model. The absolute cross-sections ofππKK\pi \pi\to {\rm K}\overline {\rm K} are extracted from CERN and Argonne experiments on π−+p→K1+K1+n. Least-squares fits toσππKK\sigma _{\pi \pi\to {\rm K}\overline {\rm K} } yield two solutions of comparable χ2. Solution I leads to a bound state of ∼0.957 GeV with a ππ decay width of ∼ 8 MeV. Solution II gives rise to a virtual state with a complex mass: (0.929−i0.090) GeV. Argand diagrams of both solutions do not exhibit the characteristics of a resonance. The scattering length considered as a special case of the present method has also been re-evaluated: the real and imaginary parts are found to be |a|=(0.72±0.15) andb=(0.085±0.011) fm, respectively. Comparison with Argand diagrams of solutions I and II indicates:a<0. A discussion on other related effects is presented.
  • pion-pion: interaction
  • interaction: pion-pion
  • final state
  • kaon: antikaon
  • kaon: pair production
  • pair production: kaon
  • pion minus-proton: interaction
  • interaction: pion minus-proton
  • 2 kaons: neutron
  • model: effective-range
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