Limitations of Accelerator Magnetic Analyzing Systems

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Abstract
The relationship between the best resolution obtainable with an accelerator magnetic analyzing system and the rate at which reaction product particles are received at the detector is studied. For cyclotrons and linear accelerators (but not for Van de Graaffs), the beam from the accelerator in all ordinary cases more than fills the phase space volume accepted by the analyzing system; the optimum resolution depends on the phase space density of the accelerator beam to the 1/6.5 power. For Van de Graaffs, the optimum resolution depends on the total accelerator current to the 1/2.5 power. For all typical cases with all accelerators, the best obtainable resolution, for situations where good resolution is needed from the nuclear physics standpoint, is between 3 and 10 kev. A.V.F. cyclotrons should obtain about the same resolutions as Van de Graaffs, but with more difficulties in alignment and stability.

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