$\pi\pi$ scattering amplitudes constrained by Roy's equations

R. Kaminski , L. Lesniak , B. Loiseau (1)

1 LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies

The scalar-isoscalar, scalar-isotensor and vector-isovector pi-pi amplitudes have been fitted simultaneously to experimental data and to to Roy's equations. Resulting pi-pi phase shifts up to 1600 MeV and near threshold observables have been analyzed. Only the amplitudes fitted to the "down-flat" set of phase shifts in scalar-isoscalar wave fulfill crossing symmetry conditions and can be regarded as physical.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

R. Kaminski, L. Lesniak, B. Loiseau. $\pi\pi$ scattering amplitudes constrained by Roy's equations. 12th International QCD Conference, QCD05, Jul 2005, Montpellier, France. pp.89-92, ⟨10.1016/j.nuclphysbps.2006.11.063⟩. ⟨in2p3-00149759⟩