348704 20260319124957.0 10.48550/arXiv.2401.13644 doi arXiv:2401.13644 arXiv GSI-2024-00378 English arXiv:2401.13644 arXiv Groening, Lars P:(DE-Ds200)OR0383 0 Corresponding author gsi Considerations and findings on beam vorticity dynamics 2024 arXiv Preprint preprint preprint PUB:(DE-HGF)25 1769436811_503895 PUB:(DE-HGF) WORKING_PAPER ORCID Electronic Article 28 EndNote preprint DRIVER ARTICLE BibTeX Output Types/Working Paper DataCite This document is on considerations and findings on modelling of spinning beams. Spinning has been proposed for stabilizing beams against perturbations notably risen by non-linear space charge forces, see [Y.-L. Cheon et al., Effects of beam spinning on the fourth-order particle resonance of 3D bunched beams in high-intensity linear accelerators, Phys. Rev. Accel. & Beams 25, 064002 (2022)]. Although not further treated therein, spinning can be quantified by angular momentumor by vorticity. Considering vorticity revealed that the latter has remarkable similarity w.r.t. its modelling along solenoid channels to modelling the beam envelope. Matrices of vorticity transport, corresponding phase advances, and Twiss parameters look very similar and are partially even identical to their counterparts concerning envelopes. Corresponding to emittance, the quantity of vortissance, being a constant of motion, is defined. Unlike emittance, for vorticity-dominated beams it may take imaginary values, causing Twiss parameters, and negative or zero phase advances along a finite beam line section. This imposes considerable consequences on respective periodic solutions. 899 - ohne Topic (POF4-899) G:(DE-HGF)POF4-899 POF4-899 POF IV 0 Dataset connected to DataCite Accelerator Physics (physics.acc-ph) Other FOS: Physical sciences Other theory no experiment theory work (theory) EXP:(DE-Ds200)theory-20200803 EXP:(DE-Ds200)no_experiment-20200803 EXP:(DE-Ds200)no_experiment-20200803 0 10.48550/arXiv.2401.13644 12 p. 2024 Groening, Lars et.al. JACoW Publishing, 2024 RelatedTo GSI-2025-00325 Considerations and findings on beam vorticity dynamics VDB oai:repository.gsi.de:348704 GSI Helmholtzzentrum für Schwerionenforschung GmbH I:(DE-Ds200)20121206GSI GSI 0 P:(DE-Ds200)OR0383 DE-HGF Programmungebundene Forschung ohne Programm G:(DE-HGF)POF4-890 G:(DE-HGF)POF4-899 G:(DE-HGF)POF4 G:(DE-HGF)POF4-800 G:(DE-HGF)POF ohne Topic 0 2024 I:(DE-Ds200)PSU-20121002OR247 PSU UNILAC Post Stripper Upgrade 0 preprint VDB I:(DE-Ds200)PSU-20121002OR247 UNRESTRICTED