Pith Number

pith:FYHTDY7B

pith:2026:FYHTDY7BBJFMHVK3NJKM46EDK7

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Beam-Plasma Collective Oscillations in Intense Charged-Particle Beams: Dielectric Response Theory, Langmuir Wave Dispersion, and Unsupervised Detection via Prometheus

Brandon Yee, Jiayi Fu, Michael Iofin, Wilson Collins

Intense charged-particle beams develop undamped Langmuir waves above a critical density, with plasma frequency fixed solely by density.

arxiv:2603.10457 v4 · 2026-03-11 · physics.plasm-ph · cond-mat.stat-mech · cs.LG · physics.acc-ph

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

Formal links

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Receipt and verification

First computed	2026-06-05T01:15:22.859001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0f31e3e10a4ac3d55b6a54ce788357fd0d97ced868345a6d372fcd96c34162

Aliases

arxiv: 2603.10457 · arxiv_version: 2603.10457v4 · doi: 10.48550/arxiv.2603.10457 · pith_short_12: FYHTDY7BBJFM · pith_short_16: FYHTDY7BBJFMHVK3 · pith_short_8: FYHTDY7B

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FYHTDY7BBJFMHVK3NJKM46EDK7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2e0f31e3e10a4ac3d55b6a54ce788357fd0d97ced868345a6d372fcd96c34162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3f20642d9f8135d40c25a63fa5dafbaa6bfef67a7ae5f342ced5cd5d8efdd2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG",
      "physics.acc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-03-11T06:17:12Z",
    "title_canon_sha256": "328cc9681d3ec0ba68144cf1be1673a3d3ba3afd9020a1ad52504896215e931f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10457",
    "kind": "arxiv",
    "version": 4
  }
}