296 research outputs found
Accelerator-Feasible N-Body Nonlinear Integrable System
Nonlinear N-body integrable Hamiltonian systems, where N is an arbitrary
number, attract the attention of mathematical physicists for the last several
decades, following the discovery of some number of these systems. This paper
presents a new integrable system, which can be realized in facilities such as
particle accelerators. This feature makes it more attractive than many of the
previous such systems with singular or unphysical forces
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Progress Toward High Energy Electron Cooling
All electron cooling systems in operation to date can be classified as low energy systems. The electron beam kinetic energy in such a system is limited to about 0.6-1 MeV by the use of a conventional commercial Cockcroft-Walton high-voltage power supply. This, in turn, bounds the maximum ion kinetic energy, accessible for cooling with today's standard technology, to about 2 GeV/nucleon (about a factor of 2-3 times higher than the electron systems in operation today). Electron cooling systems with kinetic energies above 1 MeV could provide economically justifiable improvements in the performance of many existing and proposed accelerator complexes, such as RHIC, Tevatron and HERA. This paper reviews the status of the development of the technology needed for high energy electron cooling
A new approach to calculate the transport matrix in RF cavities
A realistic approach to calculate the transport matrix in RF cavities is
developed. It is based on joint solution of equations of longitudinal and
transverse motion of a charged particle in an electromagnetic field of the
linac. This field is a given by distribution (measured or calculated) of the
component of the longitudinal electric field on the axis of the linac. New
approach is compared with other matrix methods to solve the same problem. The
comparison with code ASTRA has been carried out. Complete agreement for
tracking results for a TESLA-type cavity is achieved. A corresponding algorithm
will be implemented into the MARS15 code.Comment: 4 pp. Particle Accelerator, 24th Conference (PAC'11) 2011. 28 Mar - 1
Apr 2011. New York, US
Nonlinear Integrable Ion Traps
Quadrupole ion traps can be transformed into nonlinear traps with integrable
motion by adding special electrostatic potentials. This can be done with both
stationary potentials (electrostatic plus a uniform magnetic field) and with
time-dependent electric potentials. These potentials are chosen such that the
single particle Hamilton-Jacobi equations of motion are separable in some
coordinate systems. The electrostatic potentials have several free adjustable
parameters allowing for a quadrupole trap to be transformed into, for example,
a double-well or a toroidal-well system. The particle motion remains regular,
non-chaotic, integrable in quadratures, and stable for a wide range of
parameters. We present two examples of how to realize such a system in case of
a time-independent (the Penning trap) as well as a time-dependent (the Paul
trap) configuration
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