2003
DOI: 10.2172/813308
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A Symplectic Beam-Beam Interaction with Energy Change

Abstract: A mapping, called synchro-beam mapping, is proposed which describes the effects of the beam-beam interaction in presence of synchrotron motion. The mapping is symplectic in six dimensional phase space. In addition to the usual transverse kick, this mapping includes the bunch-length effect on the collision point and the energy variation caused by the electric field of the opposite bunch. The case of weak-strong interaction is investigated by simulation, showing that the beam-beam energy exchange has an influenc… Show more

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Cited by 25 publications
(2 citation statements)
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“…It is important to discern between the acceptance of the experiment given by the bin sizes employed in the analysis of the data (as described above) and the uncertainties in the measurement of the particles' momenta related to the actual experimental conditions. In figure 4, we present the CDW and CTMC results corrected by considering the uncertainties of the measured data (Fischer et al 2003, Moshammer 2003. The one standard deviation experimental uncertainty in the determination of the momentum of the recoil ion is approximately ±0.22 au for the component perpendicular to the incident velocity v and ±0.1 au in the parallel component.…”
Section: Comparison With Experimental Datamentioning
confidence: 99%
“…It is important to discern between the acceptance of the experiment given by the bin sizes employed in the analysis of the data (as described above) and the uncertainties in the measurement of the particles' momenta related to the actual experimental conditions. In figure 4, we present the CDW and CTMC results corrected by considering the uncertainties of the measured data (Fischer et al 2003, Moshammer 2003. The one standard deviation experimental uncertainty in the determination of the momentum of the recoil ion is approximately ±0.22 au for the component perpendicular to the incident velocity v and ±0.1 au in the parallel component.…”
Section: Comparison With Experimental Datamentioning
confidence: 99%
“…It is important to discern between the acceptance parameters of the experiment given by the bin sizes employed in the analysis of the data (as described above) and the uncertainties in the measurement of the particles' momenta, related to the actual experimental conditions. In figure 3 we present the CDW and CTMC results corrected by considering some of the uncertainties of the measured data [6,14].…”
Section: Comparison With Experimental Datamentioning
confidence: 99%