A comparison of transition jump schemes for the main injector

While neither the matched nor the unmatched transition jump scheme is entirely satisfactory as presented, either one could be improved and made to work well in the main injector. The unmatched scheme has simpler hardware requirements-only one family of perturbation quadrupoles is required. Betatron functions and tunes are negligibly affected (in an ideal lattice without errors). Its disadvantages stem from the large induced dispersion wave, and from the second-order dependence of Delta gamma /sub t/ on perturbation strength. The matched scheme requires two quadrupole families to keep the betatron tunes unchanged. This leads to a large perturbation strength that, in the worst case of a unipolar Delta gamma /sub t/=-1.3 jump, distorts the linear lattice almost to the point of instability.<>