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emittance

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MOM1I01 Status of the Recycler Ring antiproton, electron, collider, luminosity 1
 
  • P. Derwent
    Fermilab, Batavia, Illinois
  Funding: US Department of Energy

I will present the current operational status of the Fermilab Recycler Ring. Using a mix of stochastic and electron cooling, we prepare antiproton beams for the Fermilab Tevatron Collider program.

 
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MOM1I02 Status of the Antiproton Decelerator and of the ELENA Project at CERN electron, antiproton, optics, extraction 6
 
  • P. Belochitskii
    CERN, Geneva
  The Antiproton Decelerator (AD) at CERN operates for physics since 2000. It delivers low energy antiprotons for production and study of antihydrogen, for atomic physics and for medical research. Two beam cooling systems, stochastic and electron, play key role in AD operation. They make transverse and longitudinal emittances small, which is obligatory condition for beam deceleration without losses, as well for physics. The machine performance is reviewed, along with plans for the future. Significant improvement of intensity and emittances of the beam delivered to the experiments could be achieved with the addition of a small ring suitable for further deceleration and cooling. The details of this new extra low energy antiproton ring (ELENA) and its status are presented.  
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MOM2I03 Progress of High-energy Electron Cooling for RHIC electron, ion, luminosity, simulation 11
 
  • A. V. Fedotov
    BNL, Upton, Long Island, New York
  Funding: Work supported by the U. S. Department of Energy.

The fundamental questions about QCD which can be directly answered at Relativistic Heavy Ion Collider (RHIC) call for large integrated luminosities. The major goal of RHIC-II upgrade is to achieve 10 fold increase in luminosity of Au ions at the top energy of 100 GeV/n. A significant increase in luminosity for polarized protons is also expected, as well as for other ion species and for various collision energies. Such a boost in luminosity for RHIC-II is achievable with implementation of high-energy electron cooling. The design of the higher-energy cooler for RHIC recently adopted a non-magnetized approach which requires a low temperature electron beam. Such high-intensity high-brightness electron beams will be produced with superconducting Energy Recovery Linac (ERL). Detailed simulations of the electron cooling process and numerical simulations of the electron beam transport including the cooling section were performed. An intensive R&D of various elements of the design is presently underway. Here, we summarize progress in these electron cooling efforts.

 
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MOM2I04 Cooling Simulations with the BETACOOL Code simulation, ion, electron, target 16
 
  • A. O. Sidorin
    JINR, Dubna, Moscow Region
  BETACOOL program developed by JINR electron cooling group is a kit of algorithms based on common format of input and output files. General goal of the program is to simulate long term processes (in comparison with the ion revolution period) leading to variation of the ion distribution function in 6 dimensional phase space. The BETACOOL program includes three algorithms for beam dynamics simulation and takes into account the following processes: electron cooling, intrabeam scattering, ion scattering on residual gas atoms, interaction of the ion beam with internal target and some others.  
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MOA1C02 Stochastic Cooling for the HESR at FAIR target, antiproton, proton, pick-up 30
 
  • H. Stockhorst, R. Maier, D. Prasuhn, R. Stassen
    FZJ, Jülich
  • T. Katayama
    CNS, Saitama
  • L. Thorndahl
    CERN, Geneva
  The High-Energy Storage Ring (HESR) of the future International Facility for Antiproton and Ion Research (FAIR) at the GSI in Darmstadt is planned as an anti-proton cooler ring in the momentum range from 1.5 to 15 GeV/c. An important and challenging feature of the new facility is the combination of phase space cooled beams with internal targets. The required beam parameters and intensities are prepared in two operation modes: the high luminosity mode with beam intensities up to 1011 and the high resolution mode with 1010 anti-protons cooled down to a relative momentum spread of only a few 10-5. In addition to electron cooling transverse and longitudinal stochastic cooling are envisaged to accomplish these goals. A detailed numerical and analytical approach to the Fokker- Planck equation for momentum cooling including an internal target has been carried out to demonstrate the stochastic cooling capability. Cooling model predictions are compared with the stochastic cooling performance of the operational cooling system in the cooler synchrotron COSY.  
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MOA2I04 Antiproton Production and Accumulation antiproton, kicker, pick-up, optics 39
 
  • V. A. Lebedev
    Fermilab, Batavia, Illinois
  Funding: Work supported by the Fermi Research Alliance, under contract DE-AC02-76CH03000 with the U. S. Dept. of Energy.

In the course of Tevatron Run II (2001-2007) improvements of antiproton production have been one of major contributors into the collider luminosity growth. Commissioning of Recycler ring in 2004 and making electron cooling operational in 2005 freed Antiproton source from a necessity to keep large stack in Accumulator and allowed us to boost antiproton production. That resulted in doubling average antiproton production during last two years. The paper discusses improvements and upgrades of the Antiproton source during last two years and future developments aimed on further stacking improvements.

 
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MOA2C05 Calculations on High-energy Electron Cooling in the HESR electron, target, antiproton, luminosity 44
 
  • D. Reistad, B. Gålnander, K. Rathsman
    TSL, Uppsala
  • A. O. Sidorin
    JINR, Dubna, Moscow Region
  Funding: This work is supported by Uppsala University through The Svedberg Laboratory and by the European Community under Contract Number 515873, DIRACsecondary-Beams

The HESR will work in a high-resolution mode with 1·1010 stored antiprotons and a high-luminosity mode with 1·1011 stored antiprotons. It will be equipped with both stochastic cooling and electron cooling systems. The main purpose of the electron-cooling system is to provide relative momentum spread in the antiproton beam of a few 1·10-5 (90 %) during experiments with an internal hydrogen pellet target and with luminosity 2·1031 – 2·1032 cm-2s-1. The hydrogen pellet target is expected to produce a stream of frozen hydrogen pellets with diameter 30 μm, which move with 60 m/s and at a rate of 20,000 s-1. The pellet stream is expected to have a diameter of 2–3 mm. Therefore, in order to avoid excessive fluctuations in the count rate, the antiproton beam size at the target must not be too small. This is solved by slightly tilting the electron beam with respect to the antiproton beam, thus making use of a so-called Hopf bifurcation. In order to get a high duty factor on another time scale, while not sacrificing momentum acceptance, a barrier-bucket rf. system will be employed. The electron-cooling system will initially be built for an antiproton energy range from 800 MeV to 9 GeV, but will be built so that its energy can be extended to the full energy of the HESR (14 GeV) at a later stage. The paper discusses the choice of parameters for the electron cooling system and presents simulations.

 
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MOA2I06 Electron Cooling Status and Characterization at Fermilab’s Recycler electron, antiproton, extraction, injection 49
 
  • L. R. Prost, A. V. Burov, K. Carlson, A. V. Shemyakin, M. Sutherland, A. Warner
    Fermilab, Batavia, Illinois
  Funding: Operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy

FNAL’s electron cooler (4.3 MV, 0.1 A DC) has been integrated to the collider operation for almost two years, improving the storage and cooling capability of the Recycler ring (8 GeV antiprotons). In parallel, efforts are carried out to characterize the cooler and its cooling performance. This paper discusses various aspects of the cooler performance and operational functionality: high voltage stability of the accelerator (Pelletron), quality of the electron beam generated, operational procedures (off-axis cooling, electron beam energy measurements and calibration) and cooling properties (in the longitudinal and transverse directions). In particular, we show measurements of the friction force and cooling rates, which we compare to a non-magnetized model and conclude that the effective electron beam radius is smaller than expected.

 
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TUM1I03 Comparison of Hollow Electron Devices and Electron Heating electron, ion, accumulation, antiproton 64
 
  • V. V. Parkhomchuk
    BINP SB RAS, Novosibirsk
  The first results of the electron cooling with hollow electron beam are present. The electron coolers with varable electron beam profiles was commissioned at CERN and IMP (China). Accumulation of the ion beam was demonstrated.  
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TUM2I04 Ionization Cooling collider, scattering, simulation, factory 68
 
  • R. P. Johnson
    Muons, Inc, Batavia
  Funding: Supported by DOE SBIR/STTR grants DE-FG02-04ER84016, 04ER86191, 05ER86252, and 05ER886253

All three components of a particle’s momentum are reduced as a particle passes through and ionizes some energy absorbing material. If the longitudinal momentum is regenerated by RF cavities, the angular divergence of the particle is reduced. This is the basic concept of ionization cooling. What can be done for a muon beam with this simple idea is almost amazing, especially considering that the muon lifetime is only 2.2 μs in its rest frame. In this lecture we will discuss the evolution and present status of this idea, where we are now ready to design muon colliders, neutrino factories, and intense muon beams with very effective cooling in all six phase space dimensions. The discussion will include the heating effects and absorber Z-dependence of multiple scattering, numerical simulation programs, the accuracy of scattering models, emittance exchange, helical cooling channels, parametric-resonance ionization cooling, reverse emittance exchange, and the ionization cooling demonstration experiments, MICE and MANX.

 
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TUM2I05 MICE: The International Muon Ionization Cooling Experiment electron, target, coupling, factory 73
 
  • A. P. Blondel, J. S. Graulich
    DPNC, Genève
  An international experiment to demonstrate muon ionization cooling is scheduled for beam at Rutherford Appleton Laboratory (RAL) in 2008. The experiment comprises one cell of the neutrino factory cooling channel, along with upstream and downstream detectors to identify individual muons and measure their initial and final 6D emittance to a precision of 0.1%. Magnetic design of the beam line and cooling channel are complete and portions are under construction. The experiment will be described, including cooling channel hardware designs, fabrication status, and running plans. Phase 1 of the experiment will prepare the beam line and provide detector systems, including time-of-flight, Cherenkov, scintillating-fiber trackers and their spectrometer solenoids, and an electromagnetic calorimeter. The Phase 2 system will add the cooling channel components, including liquid-hydrogen absorbers embedded in superconducting Focus Coil solenoids, 201-MHz normalconducting RF cavities, and their surrounding Coupling Coil solenoids. The MICE Collaboration goal is to complete the experiment by 2010.  
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TUM2I06 Cooling Scheme for a Muon Collider collider, simulation, lattice, proton 77
 
  • R. B. Palmer, J. S. Berg, R. C. Fernow, J. C. Gallardo, H. G. Kirk
    BNL, Upton, Long Island, New York
  • Y. Alexahin, D. V. Neuffer
    Fermilab, Batavia, Illinois
  • S. A. Kahn
    Muons, Inc, Batavia
  • D. J. Summers
    UMiss, University, Mississippi
  Abstract text to be submitted by the author  
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TUA1I02 Theoretical Study of Emittance Transfer coupling, resonance, electron, simulation 82
 
  • H. Okamoto
    Hiroshima University, Higashi-Hiroshima
  • K. Kaneta
    HU/AdSM, Higashi-Hiroshima
  • A. Sessler
    LBNL, Berkeley, California
  Funding: Work supported in part by the U. S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-05CH11231.

Liouville's theorem implies that the six-dimensional phase-space volume occupied by a charged-particle beam is an approximate invariant unless the beam is subjected to dissipative interactions (such as in cooling). Symplectic conditions, in a Hamiltonian system (once again, no dissipation), put constraints upon emittance transfer between the various degrees of freedom. [1] We can, however, even in non-dissipative Hamiltonian systems arrange for partial emittance transfers. This process results in phase space correlations and change in the emittance projections on to various phase planes; namely, the projected emittances in three degrees of freedom are controllable while the direction and amount of a possible emittance flow are not very flexible because of the symplectic nature of Hamiltonian system. In some applications, it is clearly advantageous to optimize the ratios of projected emittances despite the effect of correlations. Since the three emittances are not always equally important, we may consider reducing the emittance of one direction at the sacrifice of the other emittance(s). As a possible scheme to achieve such emittance control, we study a compact storage ring operating near resonance. The basic features of linear and nonlinear emittance flow are briefly discussed with numerical examples. A general discussion touching on some of these matters has been previously presented. [2]

[1] E. D. Courant, Perspectives in Modern Physics, edit R. E. Marshak (1966).[2] H. Okamoto, K. Kaneta and A. M. Sessler, to be published in J. Phys. Soc. Jpn.

 
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TUA2C09 Lattice Optimization for the Stochastic Cooling in the Accumulator Ring at Fermilab lattice, antiproton, kicker, optics 110
 
  • V. P. Nagaslaev, V. A. Lebedev, S. J. Werkema
    Fermilab, Batavia, Illinois
  New efforts are under way at Fermilab to increase the rate of the antiproton production. This program includes the machine optics optimization in order to improve mixing and help stochastic cooling. The new lattice has been implemented in May of this year. Results will be discussed, as well as some aspects of model development and lattice measurements.  
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WEM1C03 Analysis of Resonances Induced by the SIS-18 Electron Cooler resonance, electron, space-charge, lattice 121
 
  • S. Sorge, O. Boine-Frankenheim, G. Franchetti
    GSI, Darmstadt
  Due to the requirements concerning the quality of the particle beams in the FAIR project, i.e. a small momentum uncertainty together with high currents and, in the case of the storage rings, particle target interaction, there will be a strong need of electron cooling. On the other hand, an electron cooler acts as a non-linear optical element besides electron cooling. This may lead to the excitation of resonances possibly resulting in an increase of the emittance. The aim of this work is the calculation of resonances driven by the electron cooler in the Schwerionensynchrotron (SIS) 18 being a present device at GSI Darmstadt having an electron cooler. So, we get the opportunity to prove our results experimentally. For our calculations, we used a model system consisting of a rotation matrix representing the lattice and giving the according phase advance, and a non-linear transverse momentum kick representing the electron cooler in thin lens approximation. Proceeding in this way, we got only the resonances driven by the cooler. Furthermore, we used the MAD-X code to perform our calculations.  
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WEM2I05 Bunched Beam Stochastic Cooling Simulations and Comparison with Data simulation, pick-up, kicker, ion 125
 
  • M. Blaskiewicz, J. M. Brennan
    BNL, Upton, Long Island, New York
  Funding: Work performed under the auspices of the United States Department of Energy.

With the experimental success of longitudinal, bunched beam stochastic cooling in RHIC it is natural to ask whether the system works as well as it might and whether upgrades or new systems are warranted. A computer code, very similar to those used for multi-particle coherent instability simulations, has been written and is being used to address these questions.

 
 
THAP01 Electron Cooling Simulation for Arbitrary Distribution of Electrons electron, ion, simulation, acceleration 159
 
  • A. O. Sidorin, A. V. Smirnov
    JINR, Dubna, Moscow Region
  • I. Ben-Zvi, A. V. Fedotov, D. Kayran
    BNL, Upton, Long Island, New York
  Typically, several approximations are being used in simulation of electron cooling process, for example, density distribution of electrons is calculated using an analytical expression and distribution in the velocity space is assumed to be Maxwellian in all degrees of freedom. However, in many applications, accurate description of the cooling process based on realistic distribution of electrons is very useful. This is especially true for a high-energy electron cooling system which requires bunched electron beam produced by an Energy Recovery Linac (ERL). Such systems are proposed, for instance, for RHIC and electron – ion collider. To address unique features of the RHIC-II cooler, new algorithms were introduced in BETACOOL code which allow us to take into account local properties of electron distribution as well as calculate friction force for an arbitrary velocity distribution. Here, we describe these new numerical models. Results based on these numerical models are compared with typical approximations using electron distribution produced by simulations of electron bunch through ERL of RHIC-II cooler.  
 
THAP06 Cooling in a Compound Bucket antiproton, electron, injection, diagnostics 171
 
  • A. V. Shemyakin, C. M. Bhat, D. R. Broemmelsiek, A. V. Burov, M. Hu
    Fermilab, Batavia, Illinois
  Funding: FNAL is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy.

Presently antiprotons in Fermilab’s Recycler ring are stored between rectangular RF barriers and are cooled both by a stochastic cooling system in full duty-cycle mode and by a DC electron beam. Electron cooling creates correlation between longitudinal and transverse tails of the antiproton distribution because particles with large transverse actions are cooled much more slowly than the core ones. Introducing additional RF barriers of lower amplitude allows separating spatially (along the bunch) the core and the tail. In this scenario, stochastic cooling can be “gated” to the tail, i.e. applied with a high gain to the low-density region and turned off for the core portion of the beam. This significantly increases the cooling rate of the tail particles, while the temperature of the core is preserved by electron cooling. In this paper, we will describe the procedure and first experimental results in detail.

 
 
THAP08 Electron Cooling in the Recycler Cooler antiproton, electron, simulation, cathode 175
 
  • A. V. Shemyakin, L. R. Prost
    Fermilab, Batavia, Illinois
  • A. V. Fedotov
    BNL, Upton, Long Island, New York
  • A. O. Sidorin
    JINR, Dubna, Moscow Region
  Funding: FNAL is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy.

A 0.1-0.5 A, 4.3 MeV DC electron beam provides cooling of 8 GeV antiprotons in Fermilab's Recycler storage ring. Properties of electron cooling have been characterized in measurements of the drag force, cooling rates, and equilibrium distributions. The paper will report experimental results and compare them with modeling by BETACOOL code.

 
 
THAP09 Beam-based Field Alignment of the Cooling Solenoids for Fermilab’s Electron Cooler electron, dipole, antiproton, ground-motion 179
 
  • L. R. Prost, A. V. Shemyakin
    Fermilab, Batavia, Illinois
  Funding: Operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy

The cooling section of FNAL’s electron cooler is composed of ten (10) 2 m-long, 105 G solenoids. When FNAL’s electron cooler (4.3 MeV, 0.1 A DC) was first install at the Recycler ring, the magnetic field of the cooling solenoid was carefully measured and compensated to attain the field quality necessary for effective cooling [V. Tupikov et al. COOL’05]. However, the tunnel ground motion deteriorates the field quality perceived by the beam over time. We have developed a technique which uses the cooling strength as an indication of the relative field quality and allowing us to re-align the longitudinal magnetic field in the successive solenoids of the cooling section assuming that the transverse component of the field in each solenoid has not varied.

 
 
THAP12 Electron Cooling Design for ELIC - a High Luminosity Electron-Ion Collider * electron, ion, collider, kicker 187
 
  • Y. S. Derbenev
    Jefferson Lab, Newport News, Virginia
  Funding: * Authored by Jefferson Science Associate under U. S. DoE Contract No. DE-AC05-06OR23177

An electron-ion collider (EIC) of center mass energy 90 GeV (9 GeV of electron beam x 225 GeV of proton beam) at luminosity level up to 1035/cm2s is envisioned by high energy Nuclear Physics community as a facility adequate for studying of the fundamental properties of quark-gluon structure of nucleons and strong interactions. In response to this quest, a high luminosity ring-ring EIC design (ELIC) is developed at Jefferson Laboratory utilizing 12 GeV upgrade CEBAF accelerator as a full energy injector for electron storage ring . An inevitable component of EIC is high energy electron cooling (EC) for ion beam. The EC facility concept for ELIC is based on use of 30 mA, 125 MeV energy recovery linac (ERL) and 3A circulator-cooler ring (CCR) operated at 15 and 1500 MHz bunch repetition rate, respectively. To switch electron bunches between ERL and CCR, fast kickers of a frequency bandwidth above 2 GHz are designed. The design parameters of EC facility and preliminary results of study of electron beam transports, stability and emittance maintenance in ERL and CCR, together with scenario of forming and cooling of ion beam will be presented.

 
 
THAP22 Limitations of the Observation of Beam Ordering ion, electron, scattering, proton 217
 
  • M. Steck, K. Beckert, P. Beller, C. Dimopoulou, F. Nolden
    GSI, Darmstadt
  One dimensional beam ordering of electron cooled low intensity heavy ion beams has been evidenced at the ESR storage ring as a discontinuous reduction of the momentum spread. Depending on the beam parameters, technical imperfections or any sources of heating can hamper or even prevent the observation of the momentum spread reduction. Limitations for the detection of the ordered beam will be described and illustrated by experimental results.  
 
FRM2C05 Simulation Study of Beam Accumulation with Moving Barrier Buckets and Electron Cooling electron, injection, ion, simulation 238
 
  • T. Katayama, C. Dimopoulou, B. Franzke, M. Steck
    GSI, Darmstadt
  • T. Kikuchi
    Utsunomiya University, Utsunomiya
  • D. Möhl
    CERN, Geneva
  An effective ion beam accumulation method in NESR at FAIR project, is investigated with numerical way. The princile of accumulation method is as follows: Ion beam bunch from the collector ring or synchrotron is injected in the longitudinal gap space prepared by moving barrier voltage in NESR. Injected beam becomes instantly coasting beam after switching off the barrier voltage and is migrated with the previously stacked beam. After the momentum spread is well cooled by electron cooling, the barrier voltage is switched on and moved to prepare the empty gap space for the next injection. This process is repeated say 20 times to attain the required intensity. We have investigated this stacking process numerically, including the Intra Beam Scattering effect which might limit the stacking current in the ring. Detailed simulated results will be presented for the NESR case as well as the ESR experimental parameters.  
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FRM2C06 Electron Cooling Simulations for Low-energy RHIC Operation electron, ion, simulation, luminosity 243
 
  • A. V. Fedotov, I. Ben-Zvi, X. Chang, D. Kayran, T. Satogata
    BNL, Upton, Long Island, New York
  Funding: Work supported by the U. S. Department of Energy

Recently, a strong interest emerged in running RHIC at low energies in the range of 2.5-25 GeV/n total energy of a single beam. Providing collisions in this energy range, which in RHIC case is termed “low-energy” operation, will help to answer one of the key questions in the field of QCD about existence and location of critical point on the QCD phase diagram. Applying electron cooling directly at these low energies in RHIC would result in dramatic luminosity increase, small vertex distribution and long stores. On the other hand, even without direct cooling in RHIC at these energies, significant luminosity gain can be achieved by decreasing the longitudinal emittance of the ion beam before its injection into RHIC from the AGS. This will provide good RF capture efficiency in RHIC. Such an improvement in longitudinal emittance of the ion beam can be provided at by a simple electron cooling system at injection energy of AGS. Simulations of electron cooling both for direct cooling at low-energies in RHIC and for pre-cooling in AGS were performed, and are summarized in this report.

 
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