Phys. Rev. ST Accel. Beams 5, 024401 (2002) [21 pages]Simulations of three one-dimensional limits of the strong-strong beam-beam interaction in hadron colliders using weighted macroparticle tracking
We develop the method of weighted macroparticle tracking (WMPT) for simulating the time evolution of the moments of the phase space densities of two beams which are coupled via the collective (strong-strong) beam-beam interaction in the absence of diffusion and damping. As an initial test we apply this method to study the π mode and the σ mode in three different 1D limits of the beam-beam interaction. The three limits are flat beams and transverse motion in the direction of the small width, round beams, and flat beams and motion in the direction of the large width. We have written a code (BBDeMo1D) based on WMPT, which allows testing of all three limits and is suited for extension to 2 degrees of freedom. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.5.024401
DOI:
10.1103/PhysRevSTAB.5.024401
PACS:
29.27.Bd, 29.20.Dh, 02.60.Nm, 41.85.Ew
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