Circular attractors as heating mechanism in coherent electron cooling
We show that under certain conditions a longitudinal mismatch between an electron and a hadron beam in a coherent electron cooling (CeC) scheme creates a circular attractor in the longitudinal phase space of the cooled hadrons. Formation of an attractor completely stops the cooling and results in an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-05-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.25.054403 |
| _version_ | 1818202906218725376 |
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| author | S. Seletskiy A. Fedotov D. Kayran |
| author_facet | S. Seletskiy A. Fedotov D. Kayran |
| author_sort | S. Seletskiy |
| collection | DOAJ |
| description | We show that under certain conditions a longitudinal mismatch between an electron and a hadron beam in a coherent electron cooling (CeC) scheme creates a circular attractor in the longitudinal phase space of the cooled hadrons. Formation of an attractor completely stops the cooling and results in anticooling (“heating”) causing small synchrotron amplitudes to grow to the attractor’s radius, rather than being damped. We present a theory of this effect, compare the analytical results with simulations and derive tolerances to possible sources of the longitudinal mismatch. We further show that under certain conditions a “weak” attractor, affecting hadrons with large synchrotron amplitudes, can appear in the hadrons’ longitudinal phase space and explain that formation of such an attractor does not require the presence of any mismatches. |
| first_indexed | 2024-12-12T03:16:53Z |
| format | Article |
| id | doaj.art-9cf243e1a1384610b585f2f105f1bcae |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-12T03:16:53Z |
| publishDate | 2022-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-9cf243e1a1384610b585f2f105f1bcae2022-12-22T00:40:16ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882022-05-0125505440310.1103/PhysRevAccelBeams.25.054403Circular attractors as heating mechanism in coherent electron coolingS. SeletskiyA. FedotovD. KayranWe show that under certain conditions a longitudinal mismatch between an electron and a hadron beam in a coherent electron cooling (CeC) scheme creates a circular attractor in the longitudinal phase space of the cooled hadrons. Formation of an attractor completely stops the cooling and results in anticooling (“heating”) causing small synchrotron amplitudes to grow to the attractor’s radius, rather than being damped. We present a theory of this effect, compare the analytical results with simulations and derive tolerances to possible sources of the longitudinal mismatch. We further show that under certain conditions a “weak” attractor, affecting hadrons with large synchrotron amplitudes, can appear in the hadrons’ longitudinal phase space and explain that formation of such an attractor does not require the presence of any mismatches.http://doi.org/10.1103/PhysRevAccelBeams.25.054403 |
| spellingShingle | S. Seletskiy A. Fedotov D. Kayran Circular attractors as heating mechanism in coherent electron cooling Physical Review Accelerators and Beams |
| title | Circular attractors as heating mechanism in coherent electron cooling |
| title_full | Circular attractors as heating mechanism in coherent electron cooling |
| title_fullStr | Circular attractors as heating mechanism in coherent electron cooling |
| title_full_unstemmed | Circular attractors as heating mechanism in coherent electron cooling |
| title_short | Circular attractors as heating mechanism in coherent electron cooling |
| title_sort | circular attractors as heating mechanism in coherent electron cooling |
| url | http://doi.org/10.1103/PhysRevAccelBeams.25.054403 |
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