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

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