The weak production of hypernuclei

Abstract

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 2.0 GeV, 3.0 GeV and 4.0 GeV neutrino for the charged current reaction v + 12C → μ − + K + + Λ 12 C.