We present a possible direct measurement of the polarised gluon density
ΔG(x) in LO from di-jet production in polarised deep inelastic ep
scattering, assuming the kinematics of the HERA collider. We show the
sensitivity to the x-dependence of ΔG(x) and to the first moment ∫ΔG(x)dx in the range 0.002<x<0.2, assuming the electron and proton
beam of HERA being polarised to 70% and an integrated luminosity of at least
200 pb−1. We include in our study hadronisation and higher order effects,
as well as realistic detector smearing and acceptance. We find that the
statistical and systematic uncertainties are small enough to distinguish
between different parametrizations for ΔG(x), which all are in
accordance with present data. We stress that at HERA an x-range could be
measured, that is not accessible to any other present or proposed experiment.Comment: 15 pages, 9 figures, Contributed paper to the Proceedings of the
Workshop on Physics at HERA with Polarized Protons and Electron