title: Instabilities of cooled antiproton beam in recycler creator: Burov, A. creator: Lebedev, V. contributor: United States. Department of Energy. publisher: Fermi National Accelerator Laboratory date: 2007-06-01 language: English description: The more beam is cooled, the less stable it is. In the 3.3 km Recycler Ring, stacked 8 GeV antiprotons are cooled both with stochastic (transversely) and electron (3D) cooling. Since the machine is staying near the coupling resonance, coupled optical functions should be used for stability analysis. To stabilize beam against the resistive wall instability, a digital damper is used. Digital dampers can be described as linear operators with explicit time dependence, and that makes a principle difference with analogous dampers. Theoretical description of the digital dampers is presented. Electron cooling makes possible a two-beam instability of the cooled beam with the electron beam. Special features of this instability are described, and the remedy is discussed. subject: Time Dependence Accelerators subject: Antiproton Beams subject: 43 Particle Accelerators subject: Electrons subject: Electron Beams subject: Electron Cooling subject: Stability subject: Antiprotons subject: Accelerators subject: Accelerators subject: Resonance subject: Instability source: Journal Name: Conf.Proc.C070625:2009,2007; Conference: Presented at Particle Accelerator Conference (PAC 07), Albuquerque, New Mexico, 25-29 Jun 2007 type: Article format: 5 pages format: Text identifier: rep-no: FERMILAB-CONF-07-243-AD identifier: grantno: AC02-07CH11359 identifier: osti: 922044 identifier: https://digital.library.unt.edu/ark:/67531/metadc901867/ identifier: ark: ark:/67531/metadc901867