Experimental observation of fixed lines in a particle accelerator

Experimental observation of fixed lines in a particle accelerator | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Experimental observation of fixed lines in a particle accelerator Giuliano Franchetti, Hannes Bartosik, Frank Schmidt This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2371173/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 20 Mar, 2024 Read the published version in Nature Physics → Version 1 posted You are reading this latest preprint version Abstract The motion of systems with linear restoring forces and recurring nonlinear perturbations is of central importance in physics: when a system's natural oscillation frequencies and the frequency of the nonlinear restoring forces satisfy certain algebraic relations, the dynamics becomes resonant. Such a resonant dynamics is of interest in a broad range of applications and happens at any scale, from electron cyclotron resonances observed in plasma physics [1] to condensed-matter physics [2] and to the planetary motion of the solar system [3]. In accelerator physics [4], the understanding of resonances and nonlinear dynamics is crucial to avoid particle loss. Here, we report on an experiment performed at the CERN Super Proton Synchrotron (SPS) to investigate a second order coupled resonance by measuring the position of a particle beam at discrete locations around the accelerator. Despite instrumental noise, we have constructed the Poincar\'e surface of section'' [5], which is described by the Arnold resonant tori [6], and found convincing evidence of a fixed line structure'' generated by the resonance. Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Nonlinear phenomena Physical sciences/Physics/Applied physics Full Text Additional Declarations There is NO Competing Interest. Cite Share Download PDF Status: Published Journal Publication published 20 Mar, 2024 Read the published version in Nature Physics → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-2371173","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":166934281,"identity":"edc36014-0b60-4763-acfd-d8c2fc64e60e","order_by":0,"name":"Giuliano 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