Longitudinal Beam Dynamics Constraint on Accelerating Gradient in a Proton Superconducting Linac

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Motivated by potential cost savings and the benefits of compactness, there is strong push worldwide for achieving ever-increasing accelerating gradients in superconducting cavities. However, in proton superconducting linacs, an increase in the accelerating gradient is accompanied by increase in the longitudinal focusing force. Stronger longitudinal focusing can be an advantage, but only as long as there is not an overfocusing that results in excitation of the longitudinal envelope instability, which can occur when the zero-current longitudinal phase advance per focusing period exceeds 90 degrees. This situation is primarily a concern at the low-velocity end of a high-gradient, superconducting rf linac. We discuss methods to address this potential beam-dynamics constraint on the accelerating gradient in low-velocity proton superconducting linacs.

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