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@ARTICLE{Groening:348704,
      author       = {Groening, Lars},
      title        = {{C}onsiderations and findings on beam vorticity dynamics},
      publisher    = {arXiv},
      reportid     = {GSI-2024-00378, arXiv:2401.13644},
      pages        = {12 p.},
      year         = {2024},
      abstract     = {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.},
      keywords     = {Accelerator Physics (physics.acc-ph) (Other) / FOS:
                      Physical sciences (Other)},
      cin          = {PSU},
      cid          = {I:(DE-Ds200)PSU-20121002OR247},
      pnm          = {899 - ohne Topic (POF4-899)},
      pid          = {G:(DE-HGF)POF4-899},
      experiment   = {$EXP:(DE-Ds200)no_experiment-20200803$},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2401.13644},
      howpublished = {arXiv:2401.13644},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2401.13644;\%\%$},
      doi          = {10.48550/arXiv.2401.13644},
      url          = {https://repository.gsi.de/record/348704},
}