Pith Number

pith:L3EZTTZY

pith:2026:L3EZTTZYGCFKS5JXF7Y2WF7UYM

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Scattering from compact objects: Debye series and Regge-Debye poles

Mohamed Ould El Hadj

An exact Debye-series decomposition of the scattering matrix separates direct surface reflection from interior transmission contributions for waves scattering off compact stars.

arxiv:2603.07714 v2 · 2026-03-08 · gr-qc · astro-ph.HE · hep-th

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Claims

C1strongest claim

We introduce an exact Debye-series decomposition of the scattering matrix... This decomposition separates direct surface reflection from contributions involving transmission into the interior and subsequent propagation, and admits a natural trajectory interpretation. We next reconstruct the scattering amplitude from the Debye partial-wave contributions and find excellent agreement with direct partial-wave calculations.

C2weakest assumption

The model assumes a static, spherically symmetric, uniform-density interior matched to a Schwarzschild exterior, together with specific regularity conditions at the center and continuity conditions at the surface radius R.

C3one line summary

An exact Debye-series decomposition of the scattering matrix for waves on compact stars reveals distinct Regge-Debye pole families that dominate amplitudes differently in neutron-star-like and ultracompact regimes.

References

61 extracted · 61 resolved · 16 Pith anchors

[1] (56) and use Cauchy’s theorem to extract the contributions from the Regge–Debye poles associated with the zeros of αin λ−1/2(ω)in the first quadrant of the CAM plane

[2] (57) and use Cauchy’s theorem to extract the Regge–Debye pole terms associated with the analytically continued Debye element S(p) λ−1/2(ω)forp≥1[see Eq

[3] Observation of Gravitational Waves from a Binary Black Hole Merger 2016 · arXiv:1602.03837

[4] GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral 2017 · arXiv:1710.05832

[5] GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run 2023 · arXiv:2111.03606

Cited by

1 paper in Pith

Ringdown and echoes from compact objects: Debye series and Debye quasinormal modes

Receipt and verification

First computed	2026-06-01T02:03:36.339962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec999cf38308aa975372ff1ab17f4c30522b43e0b7dfb3b859ce4d06c2859ac

Aliases

arxiv: 2603.07714 · arxiv_version: 2603.07714v2 · doi: 10.48550/arxiv.2603.07714 · pith_short_12: L3EZTTZYGCFK · pith_short_16: L3EZTTZYGCFKS5JX · pith_short_8: L3EZTTZY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L3EZTTZYGCFKS5JXF7Y2WF7UYM \
  | 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: 5ec999cf38308aa975372ff1ab17f4c30522b43e0b7dfb3b859ce4d06c2859ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40faf2e2ff9641b277fb725751bf89bb846ba25a50a0fb28d06305223413ec6b",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-08T16:33:39Z",
    "title_canon_sha256": "38e1dbe87298b1238b473cd7628af994a7f89c593cbc8cd5b87906ab559d8ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07714",
    "kind": "arxiv",
    "version": 2
  }
}