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Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 32: Theory V

HK 32.4: Talk

Wednesday, March 10, 2004, 15:30–15:45, D

Lifetime of Kaonium — •Siegfried Krewald1, Richard Lemmer2, and Felix Sassen11Institut fuer Kernphysik, Forschungszentrum, 52425 Juelich — 2Nuclear and Particle Theory Group, University of Witwatersrand, Johannesburg, WITS 2050, South Africa

We predict the lifetime of the hadronic atom kaonium assuming a mixing with the scalar mesons f0(980) and a0(980). The structure of those mesons has been controversial for many years. If one assumes the scalar mesons to be quasibound states of a Kaon and an Antikaon a non-relativistic effective field theory approach (Gasser, Lyubovitsij,Rusetsky,Gall, PRD64:0160008(2001))is appropriate. With this in mind we start from the Juelich meson exchange model, but replace the potentials by a phase-equivalent Bargmann potential that gives rise to the same scattering length and effective range, and allows to construct the Jost functions explicitly so that both the scattering and bound state properties of the Kaon-Antikaon system are determined without further approximation. Full details can be found in ref.(hep-ph/0307288).

The full Juelich meson exchange model contains a hard component in the meson wavefunctions in addition to the Kaon-Antikaon structure. The presence of the hard component reduces the lifetime of Kaonium by a factor 3 as compared to a calculation asssuming a purely molecular structure of the scalar mesons.

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