Head-tail modes in bunches with space charge are studied using particle tracking simulations. The eigenfrequencies and eigenfunctions of transverse coherent oscillations in a Gaussian bunch are determined and compared with theories. A model for an airbag distribution in a barrier potential gives good predictions for the head-tail spectrum and for eigenfunctions in bunches with space c... https://www.ivoryjinelle.com/top-offer-Dragon-Ball-Super-Goku-Vegeta-Super-Ball-LG-Stylo-6-Clear-Case-p103191-quick-deal/