Eur. Phys. J. A (2007) 33: 273-276
https://doi.org/10.1140/epja/i2007-10463-9

HYP 2006

The weak production of hypernuclei

Department of Physics, University of Stellenbosch, 7600, Stellenbosch, South Africa

^* e-mail: ddvniekerk@sun.ac.za

Received: 28 February 2007
Accepted: 7 July 2007
Published online: 28 August 2007

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 2.0GeV, 3.0GeV and 4.0GeV neutrino for the charged current reaction ν + ¹² C → μ^- + K ⁺ + ¹² _Λ C .