An incident proton with momentum 4 GeV/c has been simulated interacting with Berillium target (thickness 60 mm), using Bertini cascade model for hadronic interactions (QGSP_BERT). Final state with two outgoing protons has been selected. Distribution of invariant mass, calculated for these protons, has abnormally high peak at 3 GeV (which corresponds to proton-proton elastic scattering). Distribution of polar angles of protons, corresponding to the peak, also shows strange correlation: one of protons always has polar angle equal to 20 degrees, and another one - to about 45 degrees. Change of momentum of initial proton does not change the picture qualitatively, as well as change of target material. The same simulation using Binary cascade model (QGSP_BIC) shows significantly different behavior. Illustrating plots can be found at http://cern.ch/jemtchou/g4bug/index.html
Seems to disappear in 4.9.1
Confirmed that this was fixed by removing a bug in nucleon-nucleon scattering angular distribution. In version 9.1, angular distribution was changed from nearly isotropic to exp(t).