Abstract

Generation of magnetic field in units of booster synchrotron for the NICA project is one of the most important conditions for getting the required parameters and qualitative accelerator operation. Research of linear and nonlinear dynamics of ion beam 197Au31+ in the booster have carried out with MADX program. Analytical estimation of magnetic field errors tolerance and numerical computation of dynamic aperture of booster DFO-magnetic lattice are presented. Closed orbit distortion with random errors of magnetic fields and errors in layout of booster units was evaluated.

Highlights

  • Generation of magnetic field in units of booster synchrotron for the NICA project is one of the most important conditions for getting the required parameters and qualitative accelerator operation

  • The main task of this article is to evaluate maximum orbit distortion and dynamic aperture according to requirements specification for booster magnetic measurements and to find out magnetic field errors tolerances

  • Effective length spread for dipole magnets bring about closed orbit deviation from the central position

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Summary

Magnetic lattice of booster

The main task of this article is to evaluate maximum orbit distortion and dynamic aperture according to requirements specification for booster magnetic measurements and to find out magnetic field errors tolerances. For start let’s have a look on the booster lattice. Magnetic lattice of the booster consists of 4 quadrants. Dynamic functions in one quadrant of booster are shown in Fig.. There are two types of errors of magnetic field: 1. Nonlinearity of third and higher orders - systematic errors, existing in every unit and determining magnet design; 2. Random errors, appearing because of magnet production inaccuracy and inaccuracy of placement along equilibrium closed orbit of the accelerator. Βx,y and dispersion in one superperiod of magnetic lattice Fig. 1. βx,y and dispersion in one superperiod of magnetic lattice

Analytical estimation of magnetic field errors tolerance
Effective length spread for dipole magnets
Effective length spread for quadrupole magnets
Transverse displacements of quadrupole magnets around longitudinal axis
Rotation around longitudinal axis for dipole magnets
Rotation around longitudinal axis for quadrupole magnets
Booster closed orbit and dynamic aperture under main influencing factors
Conclusions
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