  High intensity proton linacs and storage rings are central for the
development of advanced neutron sources, extending the intensity frontier in
high energy physics, as drivers for the production of pions in neutrino
factories or muon colliders, and for the transmutation of radioactive waste.
Such high intensity beams are not attainable using conventional linear
lattices. It has been shown in the single particle limit that integrable
nonlinear lattices permit much larger tune spreads than conventional linear
lattices, which would mitigate many of the space charge restrictions that limit
intensity. In this paper, we present numerical studies of space charge effects
on a trial nonlinear lattice with intense bunches. We observe that these
nonlinear lattices and their accompanying tune spreads strongly mitigate halo
formation using a result from the particle-core model known to cause halo
formation in linear lattices.
