Scenarios for capture, bunching and phase-energy rotation of mu’s from a proton source have been developed. The goal is capture of a maximal number of muons in a string of rf bunches with applications in neutrino factories and mu+-mu- colliders. In this note we begin with the bunching, phase rotation and cooling scenario used in neutrino factory study 2B and adapted by R. Palmer as the initial stage of a mu+-mu- collider scenario. However the scenario produces a relatively large number of bunches that must be recombined for maximal collider luminosity. In this paper we modify the scenario to obtain a smaller number of bunches, and, after some optimization, obtain cases that are better for both -factory and collider scenarios. We describe these examples and consider some variations toward an optimal nu-factory + collider scenario.
