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Description
The ESR storage ring at GSI provides a variety of highly charged heavy ion beams over a wide range of $\beta_{rel}$ from $90\%$ down to $10\%$ to carry out atomic physics experiments. According to experimental requirements the beam can be either stored and accumulated or decelerated. However, over the whole process of deceleration the beam intensity reduces by a significant factor, while at the same time the beam performs enourmous closed orbit (CO) swings at the location of certain Beam Position Monitor (BPM). From the measured CO the evolution of $\delta{p}/{p}$ during deceleration can be determined and applied on the cycle to compensate the CO swing. This procedure should allow retrieving identical $\delta{p}/{p}$ evolution at each BPM. However, the reconstructed $\delta{p}/{p}$ from the measurements shows an inconsistency between different BPM. Therefore the correction procedure cannot be applied and a precise knowledge on the dispersion is required. On this ground the ESR dispersion was measured and the presence of high order terms could be identified. We here present the nonlinear dispersion measurements, as well as the studies of its origin and its impact on the deformation of the longitudinal bucket during deceleration.
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