The aim of our study is the numerical computation of the wakefield and energy loss per unit length for relativistic, short ($<10\mathrm{ns}$) proton bunches interacting with an electron cloud inside the beam pipe. We present analytical expressions for the energy loss in the impulse kick approximation. For the simulation of the wakefields a 2D self-consistent, electrostatic particle-in-cell (PIC) code is employed. Results for the energy loss and for the wakefields are presented for the parameter scope of the CERN LHC and SPS. For selected parameters the results are compared to a three-dimensional (3D) electromagnetic PIC code.

• Received 21 December 2011

DOI:https://doi.org/10.1103/PhysRevSTAB.15.054402

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Published by the American Physical Society