The weak production of hypernuclei
Department of Physics, University of Stellenbosch, 7600, Stellenbosch, South Africa
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Accepted: 7 July 2007
Published online: 28 August 2007
We present a formalism for the description of hypernuclei production via the weak interaction. It is shown that the cross-section can be written as the contraction of a leptonic and hadronic tensor if we model the interactions as quasifree processes. The hadronic tensor is written in a model-independent way in terms of thirteen nuclear structure functions. A Born term model is used to describe the corresponding elementary hyperon production process. The bound state wave functions of the hyperon and nucleon are calculated within a relativistic mean-field approximation. Together with the relativistic kinematics a fully relativistic framework is constructed and we present cross-section predictions and comparisons for 2.0GeV, 3.0GeV and 4.0GeV neutrino for the charged current reaction ν + 12 C → μ- + K + + 12 Λ C .
PACS: 24.10.Jv Relativistic models – / 24.70.+s Polarization phenomena in reactions – / 25.30.-c Lepton-induced reactions –
© Società Italiana di Fisica and Springer-Verlag, 2007