  To produce the intense, high-quality hadron beams required by future nuclear
and high-energy physics experiments, synchrotrons need to overcome a most
prominent intensity limitation i.e., space charge. This Letter characterizes
the potential of pulsed electron lenses in detailed 3D tracking simulations,
key to which is a realistic machine and space charge model. The space charge
limit, imparted by betatron resonances, is shown to be increased by up to 50%
using a low symmetric number of electron lenses in application to the FAIR
SIS100 synchrotron. Conceptually, a 100% increase is demonstrated with a larger
number of electron lenses, which is found to rapidly saturate near the
theoretical 2D limit.
