Abstract :
The application of the analytical method of spin calculation is described. The calculation of both orbital and spin motion is based on Lie operators technique. The computer code SPINLIE realizing this method is discussed. The input language of SPINLIE is compatible with that of MAD. In SPINLIE elements are described as “thick lenses” for spin motion as well as for orbital calculations. The explicit expressions of Lie operators were found for orbital and spin motion for elements of different type (bending magnets, quadrupoles, sextupoles, RF-cavities, solenoids, kickers). The rules of addition of spin transformations were obtained for the beam passing the collider structure. Good agreement was found for SPINLIE results for the linear spin resonances in comparison with the other codes (SITF [1], SMILE [2]). The first results are presented for the calculation of nonlinear spin resonances
Keywords :
Lie algebras; beam handling equipment; particle beam diagnostics; physics computing; polarimetry; Lie operator; RF-cavities; SPINLIE; beam polarization; beam spin; bending magnet; kickers; linear spin resonances; nonlinear spin resonances; orbital motion; quadrupoles; sextupoles; solenoids; spin motion; Application software; Colliding beam devices; Equations; Frequency estimation; Motion estimation; Nuclear physics; Orbital calculations; Polarization; Resonance; Synchrotrons;
