we are all familiar with resonances and how they amplify an effect – a sound or a movement, for example. However, in high-intensity circular particle accelerators, resonances can be an inconvenience, causing [...] the Super Proton Synchrotron (SPS) at the CERN research center in collaboration with scientists at GSI/FAIR in Darmstadt, have been able to experimentally prove the existence of a particular resonance structure [...] low-energy and high-brightness beams for the LHC injectors at CERN and the SIS18/SIS100 facility at GSI, as well as for high-energy beams with large luminosity, such as the LHC and future high-energy colliders