to 2009, tumor patients were successfully treated with ion beams at GSI. In doing so, tumors in the head were irradiated by accelerated carbon ions, tumors that could not be treated with conventional therapy [...] complex system of storage rings: the Facility for Antiproton and Ion Research FAIR . At the facility, highly intense and highly energetic ion beams and antiproton beams of best quality will be available for [...] of nuclear physical basic research at GSI is the study of hot and dense nuclear matter. With heavy ion beams, the multiple varieties of nuclear matter, from the "liquid" normal state over the free nucleon