Abstract
Abstract By perturbing the closed orbit in an accelerator and comparing the shift in beam position with the theoretical expression for a dipole perturbation by a least squares procedure, an estimate of the average ν value of the beam is obtained. A statistical analysis of the experimental data is presented. This yields point estimates of the parameters (i.e., ν value, amplitudes and betatron phases) together with interval estimates and confidence levels. In this way, ν value measurements have been made at various times in the Alternating Gradient Synchrotron (AGS) cycle and at various average radii (i.e., momenta) in order to obtain the time dependent functional relationship between ν and radius, R. Assuming a linear relationship between ν and R, least squares fits and standard errors have been obtained for various times in the AGS cycle. Since the rate of change of ν with radius is very nearly proportional to the sextupole moment in each of the AGS magnets, estimates of the sextupole moment as a function of the field strength in the main ring magnets (i.e., time in the AGS cycle) have also been obtained.
Published Version
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