Speaker
Description
At energies relevant to electron cooling of future electron-hadron collider designs, the beam-frame interaction time in the cooler becomes short compared to the plasma period. In this regime, the interaction time cannot be taken as infinite for analytic calculations of dynamical friction, and the details of strong scattering with small impact parameter cannot be neglected. Three significant results from previous work (see Refs. $*$,$**$ and $***$) are presented. In the limit of strongly magnetized beams, dynamical friction depends on the sign of the charge. In this same limit, widely used parametric and semi-analytic formulas break down. For unmagnetized cooling, the impact parameters follow a modified Pareto distribution, such that the central limit theorem does not apply. At early times, the friction force is time-dependent in ways that can be surprising.
Footnotes
- G.I. Bell, D.L. Bruhwiler et al., J. Comput. Phys. 227, 8714 (2008).
** A.V. Sobol, D.L. Bruhwiler et al., New Journal of Phys. 12, 093038 (2010).
*** I.V. Pogorelov and D.L. Bruhwiler, 13th Workshop on Beam Cooling and Related Topics, 28 (2021).
Funding Agency
Support was provided in the past by the Department of Energy, Office of Science, Office of Nuclear Physics. Partial support provided by RadiaSoft LLC.
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