It has been recently proposed a scheme to produce a high-intensity antiproton beam in a precooler ring with functions of both stochastic cooling and accumulating. According to this scheme 13 batches from {bar p}-target are stacked and precooled on the stacking orbit every Main Ring cycle. After that the precooled beam is transported in a second storage ring (the Accumulator) and cooled for several hours together with previous {bar p} batches. As alternative it has also been proposed to decelerate each precooler pulse down to 200 MeV at which energy it can be transferred in a modified Electron Cooling Ring for storage and further cooling. The sequence of stacking operations in the Precooler consists of (1) injecting a P beam pulse onto the injection orbit, capturing it by standing-by RF buckets, rotating the bunch in the stationary RF buckets, and reducing the bucket height so that the stationary bucket will surround tightly the bunch, (2) decelerating to the stacking orbit and (3) finally turning off the RF adiabatically, allowing the beam to debunch. This sequence is repeated 13 times to build up a complete stack every Main Ring cycle. The above steps require fairly complicated manipulations of RF system parameters. …