A New Model for the Strong--Strong Beam--Beam Interaction

Details A New Model for the Strong--Strong Beam--Beam Interaction A New Model for the Strong--Strong Beam--Beam Interaction

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprk16010e&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

The Strong-Strong Beam-Beam is studied in the framework of maps with a ``Kick-Rotate'' model in 4-D phase space. The classical method of averaging is applied to derive an approximate map which is equivalent to a flow within the averaging approximation. This flow leads to an averaged Vlasov equation (AVE). The power of this approach is evidenced by the fact that the AVE has exact equilibria and the associated linearized equations have uncoupled azimuthal Fourier modes. In the usual way, the Fourier mode equations lead to a Fredholm integral equation of the third kind. This is a generalization of the 2-D case presented at the recent Beam-Beam Workshop at Fermilab 2001.

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