The Weak Production of Lambda Particles in Electron and Muon Scattering from Protons from Near Threshold to the 5.0 GeV Region

Physics – High Energy Physics

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Baryon Production

Scientific paper

We calculate the differential cross sections for the weak strangeness changing reactions e- + p --> Λ + ve and μ- + p --> vμ + Λ. We study the former reaction for energies near threshold and we study the later reaction from energies near threshold to 5.0 GeV. We do this because the electron induced reaction has been proposed as possible experiment at the Thomas Jefferson National Accelerator Facility by which the electron neutrino mass might be measured. We study the muon induced reaction over a wider range of energies because it might be used to study form factors which are more difficult or impossible to observe in an electron induced reactions due to the small size of the electron mass. In particular we obtain the induced pseudoscalar form factor contributions to the differential cross section as well as the contributions of the FE and FS form factors to try to determine if it is feasible to observe them. We use an SU(3) based semi-phenomenological calculation to obtain the form factors from electron scattering data from nucleons and from Λ beta decay. Finally we comment on what might be learned from these reactions.

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