Abstract
Recently, the first direct measurement of a full 6D accelerator beam distribution was reported [B. Cathey, S. Cousineau, A. Aleksandrov, and A. Zhukov, Phys. Rev. Lett. 121, 064804 (2018)]. That work observed a correlation between energy and transverse coordinates, for which the energy distribution becomes hollowed near the transverse core. This hollowing is obscured when the 6D phase space is projected onto one- and two-dimensional axes. This article illustrates how a similar structure emerges from simulation of an initially uncorrelated, high density bunched beam as the result of velocity perturbation from initial nonlinear space charge forces. This phenomenon has not been widely recognized in accelerator systems, but parallels can be drawn to observations of laser-ionized nanoclusters and electron sources for diffraction. While this effect provides insight into the origin of the measured core correlation, it does not provide a complete description. A better reproduction of the measured structure can be obtained via self-consistent simulation through the radio-frequency quadrupole.
