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Lattice-dependence of the heating rate of ultra-low-emittance ion beams in a storage ring

Yuri, Yosuke

We have numerically studied the emittance increase rate (heating rate) of ultra-low-emittance beams in a storage ring. A systematic molecular dynamics simulation has been done, considering the same experimental conditions as those in the storage ring "S-LSR", i.e., $$^{24}$$Mg$$^+$$ ion beam with the kinetic energy of 35 keV. The heating rate has a maximum value around $$Gamma approx 1$$, where $$Gamma$$ is the generalized plasma coupling constant. That is, the heating rate due to the intra-beam scattering is maximized around the threshold of the gas-to-liquid phase transition. At an ultra-low-emittance state, the heating rate becomes smaller in a perfect lattice. When the lattice magnetic error is finite, the heating rate is increased, dependent on the beam line density.

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