{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"b7c7dd31bdb55a319d00c7e32c20882f2456d9a902c91cc472d3b3804f81d092","created":"2026-10-03T07:17:56Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"d62381681f370ed8bf8a29a429ec3830e1536a363b428c5a92fe8521286f1dcf","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"beams.space-charge-halo.integrable-optics-intensity","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Special magnet arrangements keep particle orbits regular even when they are nonlinear; whether they still help when the beam's own repulsion is included is unknown.","posed_since":"","precise":"Nonlinear integrable lattices of the Danilov-Nagaitsev type preserve two invariants of single-particle transverse motion with large amplitude-dependent tune spread. Determine whether, for a beam with $\\left|\\Delta Q_{\\mathrm{sc}}\\right| \\sim 0.1\\text{-}0.5$, a ring with such an insert shows lower halo growth and loss than an equivalent linear lattice, either through a self-consistent equilibrium that keeps the invariants or through Landau damping of envelope and coherent resonances.","problem_ref":null,"references":"","settled_by":"Self-consistent space-charge simulations and a proton experiment comparing halo and loss for integrable and linear configurations of one ring.","status_note":"","title":"Does nonlinear integrable optics raise the space-charge limit","topic_ref":"416111fd7e6fee07d8da591a9ff1426619f087a5ba70068946ba198ef0a5a6c3"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"d96f4dd373bea031deac17c645f7c7f1fe02050e04d9bf09cf1847be1d3faf78","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"6e6bc0a30f9a357ff8eaedb73c1a35c505a9fb78e9362ebbc67f9d8cdba66271","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"UgebnrBv5XrT_tzqroD2_BM82UXiMX6xDuEvcm2taNyDRPAdJavqWgMrpNhq5A_gCweRQ_6DnIl4JTnhJigOBQ"},"schema":"pubphys.envelope/1"},"record_hash":"d96f4dd373bea031deac17c645f7c7f1fe02050e04d9bf09cf1847be1d3faf78","leaf_index":701}