Constant Radius Magnetic Acceleration of a Strong Nonneutral Proton Ring.

摘要

The constrained or constant radius magnetic acceleration of a strong, nonneutral proton ring by a modified betatron field is considered. The modified betatron field consists of a azimuthal magnetic field B(theta) superimposed on a betatron field Bz in which the 1:2flux rule is satisfied. An important advantage of the constrained acceleration is that the energy of the nonrelativistic ions increases with the square of the magnetic field. It has been found that the orbits of the gyrating particles are stable when the self-field index ns is much greater than unity,provided that ns <(B(theta)/2Bz) squared at the orbit. For B(theta) = o,the orbits are stable only in ns < 1/2.