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HK: Physik der Hadronen und Kerne

HK 32: Theory V

HK 32.6: Vortrag

Mittwoch, 10. März 2004, 16:00–16:15, D

A novel dispersive analysis of π K scattering — •Paul Büttiker¹, Sebastien Descotes-Genon², and Bachir Moussallam³ — ¹Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, D-53115 Bonn — ²Laboratoire de Physique Théorique, Université Paris–Sud, F-91406 Orsay — ³Institut de Physique Nucléaire, Université Paris–Sud, F-91406 Orsay

A set of six coupled integral-equations for the S– and P–waves of the π K scattering amplitudes is derived and analyzed, using, for the first time, the most accurate experimental π K→ π K and ππ→ KK scattering data available at E≥ 1 GeV. Precise and unique solutions are obtained in the range E≤ 1 GeV. Our main result is the determination of a narrow allowed region for the two scattering lengths a₀^1/2 and a₀^3/2. Present experimental data below 1 GeV are found to be in generally poor agreement with our results. As an application of this analysis, we calculate a set of threshold and subthreshold parameters, as well as some low energy constants entering the calculations in the framework of Chiral Perturbation Theory.