Study of the $Σ$(1385) and $Λ$(1405) resonances in K$^+$ photoproduction processes

Physics – Nuclear Physics – Nuclear Theory

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8 pages, 4 figures, Proceedings of the Int. School on Nuclear Physics, 26th Course, "Lepton scattering and the structure of ha

Scientific paper

10.1016/j.ppnp.2004.12.003

The $\gamma p \to K^+ \pi^0 \Lambda$ and $\gamma p \to K^+ \pi \Sigma $ reactions are studied in the kinematic region where the $\pi^0 \Lambda$(1116) and $\pi\Sigma$(1192) pairs originate dominantly from the decay of the $\Sigma$(1385) and $\Lambda$(1405) resonances. We consider laboratory photon energies around 2 GeV, i.e. total center of mass energies above the known resonance region. We compute the t-channel kaon-exchange contribution to these reactions using $K^- p \to \pi^0 \Lambda$ and $K^- p \to \pi \Sigma$ amplitudes calculated in the framework of a chiral coupled-channel effective field theory of meson-baryon scattering. We extract from the calculated cross section the gauge-invariant double kaon pole term. We find this term to be large and likely to drive significantly the $\gamma p \to K^+ \pi^0 \Lambda$ and $\gamma p \to K^+ \pi \Sigma $ reactions in the kinematics under investigation. Accurate measurements of t-distributions for these processes, in progress or planned at ELSA and at SPring-8, are needed to confirm this expectation and assess the possibility of studying antikaon-nucleon dynamics just below threshold through these reactions.

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