“…Experimental R&D with high brightness beam at IOTA ring Progress of the Intensity Frontier accelerator based HEP is hindered by fundamental beam physics phenomena such as space-charge effects, beam halo formation, particle losses, transverse and longitudinal instabilities, beam loading, inefficiencies of beam injection and extraction, etc. The Integrable Optics Test Accelerator (IOTA) facility at Fermilab [4] is being built as a unique test-bed for transformational R&D towards the next generation high-intensity proton facilitiessee The goal of the IOTA research program is to carry out experimental studies of transformative techniques to control proton beam instabilities and losses, such as integrable optics [6] with non-linear magnets and with electron lenses, and space-charge compensation with electron lenses and electron columns [7,8] at beam intensities and brightness 3-4 times the current operational limits, i.e., at the space-charge parameter ΔQSC approaching or even exceeding 1. Several experiments are planned at IOTA: i) Test of Integrable Optics (IO) with Electrons with a goal to create IO accelerator lattice with several additional integrals of motion (angular momentum and McMillan-type integrals, quadratic in momentum); ii) IO with Non-linear Magnets, Test with Protons will demonstrate nonlinear integrable optics with protons with a large betatron frequency spread ΔQSC>1 and stable particle motion in a realistic accelerator design; iii) IO with e-lens(es), Tests with Protons to demonstrate IO with non-Laplacian electron lenses with the electron charge distribution as n(r)=1/(1+r 2 ) 2 to obtain a large betatron frequency spread ΔQSC>1 and stable particle motion in a realistic accelerator design; iv) Space-Charge Compensation (SCC) with e-lens(es), Test with Protons has the main goal of demonstrating SCC with Gaussian ELs with protons with a large betatron frequency spread ΔQ>0.5 and stable particle motion in a realistic accelerator design.…”