Abstract Not Provided.

Instead of applying the {gamma}{sub T} jump at the designed value of 1.0, which never can be used in the operation due to the quad steering, the combination of the rf manipulation and a 0.2-unit {gamma}{sub T} jump can reduce the longitudinal emittance growth nearly 40% during transition. Especially, a 0.2-unit {gamma}{sub T} jump can help in reducing the rf manipulating voltage from 1000 kV to 850 kV, and makes the transition scheme operationally feasible.

The demand in high intensity and low emittance of the beam extracted from the Booster requires a better control over the momentum spread growth and bunch length shortening at transition crossing, in order to prevent beam loss and coupled bunch instability. Since the transition crossing involves both longitudinal and transverse dynamics, the recently modified 3-D STRUCT code provides an opportunity to numerically investigate the different transition crossing schemes in the machine environment, and apply the results of simulation to minimize the beam loss and emittance growth operationally.

This paper presents results of experimental and theoretical investigations of transverse beam stability at injection to Fermilab Booster and discusses a novel scheme for transition crossing allowing to avoid the longitudinal emittance growth related to the transition. At reduced chromaticity a multibunch high order head-tail mode develops with growth time of 12 turns at fractional part of tune close to zero. An estimate of the growth rate based on known sources of impedance results in significantly smaller value and cannot explain observed instability growth rate.

The transition crossing is space charge dominated in the Fermilab Booster. Since the longitudinal space charge forces are defocusing below transition and focusing above transition, they generate the mismatch at transition, which causes the longitudinal emittance growth above transition. It's proved by numerical simulation that such mismatch can be partially compensated by a particular radial motion at transition, which is operationally favored by the high intensity beam. The transition crossing in Booster is space charge dominated. Usually, the nonlinear chromatic effect can cause the emittance growth during transition because particles with different energies cross transition at different times. The transition time is set by the synchronous particle; below transition, particles with positive energies relative to the synchronous particle become unstable since they are in the wrong phase, and above transition, particles with negative energies are unstable. The dependence of the transition energy upon the momentum deviation can be adjusted via different sextupole corrector settings such that the emittance growth due to the chromatic nonlinear effect can be greatly reduced. Fortunately, at the corrector setting of I{sub sextl} = -97 A and I{sub sexts} = 97 A, the dependence can be removed, see Figure 1. Space charge forces are mainly responsible for the longitudinal emittance growth at transition.