{"paper":{"title":"Beam-Plasma Collective Oscillations in Intense Charged-Particle Beams: Dielectric Response Theory, Langmuir Wave Dispersion, and Unsupervised Detection via Prometheus","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Intense charged-particle beams develop undamped Langmuir waves above a critical density, with plasma frequency fixed solely by density.","cross_cats":["cond-mat.stat-mech","cs.LG","physics.acc-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Brandon Yee, Jiayi Fu, Michael Iofin, Wilson Collins","submitted_at":"2026-03-11T06:17:12Z","abstract_excerpt":"We develop a theoretical and computational framework for beam-plasma collective oscillations in intense charged-particle beams at intermediate energies (10-100 MeV). In Part I, we formulate a kinetic field theory governed by the Vlasov-Poisson system, deriving the Lindhard dielectric function and random phase approximation (RPA) polarization tensor for three beam distribution functions. We prove via the dielectric function epsilon(omega,q)=0 the existence of undamped Langmuir wave modes above a critical beam density n_c, obtain explicit beam-plasma dispersion relations, and show that Landau da"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We prove via the dielectric function epsilon(omega,q)=0 the existence of undamped Langmuir wave modes above a critical beam density n_c, obtain explicit beam-plasma dispersion relations, and show that Landau damping vanishes above the particle-hole continuum. The plasma frequency Omega_p^2 = ne^2/(m*epsilon_0) is fixed by the f-sum rule independently of distribution shape.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The random phase approximation holds for the polarization tensor in these beam distributions at 10-100 MeV, and the f-sum rule applies without additional corrections from space charge or finite beam effects to fix Omega_p independently of distribution shape.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Dielectric theory predicts undamped Langmuir waves in beams above critical density n_c with distribution-independent plasma frequency fixed by f-sum rule, validated by beta-VAE detection of onset and Kohn anomaly in PIC structure factor data.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Intense charged-particle beams develop undamped Langmuir waves above a critical density, with plasma frequency fixed solely by density.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"907bb8fa87561d307962236c3ebc549d61a4e71dbe54ffcd84dfc855e164fee9"},"source":{"id":"2603.10457","kind":"arxiv","version":4},"verdict":{"id":"84fe1771-d2af-4976-a79b-9d0be89ac8d5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T13:28:42.466428Z","strongest_claim":"We prove via the dielectric function epsilon(omega,q)=0 the existence of undamped Langmuir wave modes above a critical beam density n_c, obtain explicit beam-plasma dispersion relations, and show that Landau damping vanishes above the particle-hole continuum. The plasma frequency Omega_p^2 = ne^2/(m*epsilon_0) is fixed by the f-sum rule independently of distribution shape.","one_line_summary":"Dielectric theory predicts undamped Langmuir waves in beams above critical density n_c with distribution-independent plasma frequency fixed by f-sum rule, validated by beta-VAE detection of onset and Kohn anomaly in PIC structure factor data.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The random phase approximation holds for the polarization tensor in these beam distributions at 10-100 MeV, and the f-sum rule applies without additional corrections from space charge or finite beam effects to fix Omega_p independently of distribution shape.","pith_extraction_headline":"Intense charged-particle beams develop undamped Langmuir waves above a critical density, with plasma frequency fixed solely by density."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.10457/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"7f79f8b8047a4db1352ec56585e786040e3249310c5d1aab123b4ffd703cc680"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}