Coupling effects of beam-beam interaction and longitudinal impedance

Recent studies have shown a novel coherent head-tail instability induced by beam-beam interaction with a large Piwinski angle. The instability has become an important issue during the designs of CEPC and FCC-ee. Simulations have further revealed that the longitudinal impedance has a strong impact on...

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Main Authors: Chuntao Lin, Kazuhito Ohmi, Yuan Zhang
Format: Article
Language:English
Published: American Physical Society 2022-01-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.25.011001
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author Chuntao Lin
Kazuhito Ohmi
Yuan Zhang
author_facet Chuntao Lin
Kazuhito Ohmi
Yuan Zhang
author_sort Chuntao Lin
collection DOAJ
description Recent studies have shown a novel coherent head-tail instability induced by beam-beam interaction with a large Piwinski angle. The instability has become an important issue during the designs of CEPC and FCC-ee. Simulations have further revealed that the longitudinal impedance has a strong impact on the beam stability, squeezing the horizontal stable tune area seriously. The cross-wake force has been introduced to represent beam-beam interaction. A mode coupling theory based on the localized wake (impedance) force has been developed to explain the instability. However, the theory did not consider the effects of longitudinal impedance. In this paper, we develop a new transverse mode coupling analysis method that could be used to study the beam-beam instability with and without longitudinal impedance. The result shows that the distortion of longitudinal phase space trajectory and the incoherent synchrotron tune shift induced by longitudinal impedance would reduce the stable tune area.
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spelling doaj.art-694913cf364142c98d953269566b719a2022-12-21T19:44:34ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882022-01-0125101100110.1103/PhysRevAccelBeams.25.011001Coupling effects of beam-beam interaction and longitudinal impedanceChuntao LinKazuhito OhmiYuan ZhangRecent studies have shown a novel coherent head-tail instability induced by beam-beam interaction with a large Piwinski angle. The instability has become an important issue during the designs of CEPC and FCC-ee. Simulations have further revealed that the longitudinal impedance has a strong impact on the beam stability, squeezing the horizontal stable tune area seriously. The cross-wake force has been introduced to represent beam-beam interaction. A mode coupling theory based on the localized wake (impedance) force has been developed to explain the instability. However, the theory did not consider the effects of longitudinal impedance. In this paper, we develop a new transverse mode coupling analysis method that could be used to study the beam-beam instability with and without longitudinal impedance. The result shows that the distortion of longitudinal phase space trajectory and the incoherent synchrotron tune shift induced by longitudinal impedance would reduce the stable tune area.http://doi.org/10.1103/PhysRevAccelBeams.25.011001
spellingShingle Chuntao Lin
Kazuhito Ohmi
Yuan Zhang
Coupling effects of beam-beam interaction and longitudinal impedance
Physical Review Accelerators and Beams
title Coupling effects of beam-beam interaction and longitudinal impedance
title_full Coupling effects of beam-beam interaction and longitudinal impedance
title_fullStr Coupling effects of beam-beam interaction and longitudinal impedance
title_full_unstemmed Coupling effects of beam-beam interaction and longitudinal impedance
title_short Coupling effects of beam-beam interaction and longitudinal impedance
title_sort coupling effects of beam beam interaction and longitudinal impedance
url http://doi.org/10.1103/PhysRevAccelBeams.25.011001
work_keys_str_mv AT chuntaolin couplingeffectsofbeambeaminteractionandlongitudinalimpedance
AT kazuhitoohmi couplingeffectsofbeambeaminteractionandlongitudinalimpedance
AT yuanzhang couplingeffectsofbeambeaminteractionandlongitudinalimpedance