Pith Number

pith:XSCUPJJJ

pith:2026:XSCUPJJJFRSJWJO6R7236IWQIJ

not attested not anchored not stored refs resolved

Charged-current neutrino opacity within the relativistic Hartree-Fock framework for astrophysical simulations of core-collapse supernovae and binary neutron star mergers

Anil Kumar, Kamil Soko{\l}owski, Tobias Fischer

Relativistic Hartree-Fock neutrino opacities reveal large discrepancies with relativistic mean-field models in dense matter.

arxiv:2605.17563 v1 · 2026-05-17 · astro-ph.HE · hep-ph · nucl-th

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We find large discrepancies comparing the weak rates at the RHF level with those of commonly used relativistic mean-field (RMF) models; in particular, we observe a substantial shift of previously reported large medium-dependent modifications associated with the RMF approach.

C2weakest assumption

The relativistic Hartree-Fock framework with the chosen momentum-dependent interactions and self-energies provides a sufficiently accurate description of the nuclear medium effects on charged-current weak rates, without requiring additional corrections from correlations beyond Hartree-Fock or alternative parametrizations.

C3one line summary

Relativistic Hartree-Fock calculations of charged-current neutrino opacities reveal large discrepancies and a substantial shift in medium-dependent modifications compared to standard relativistic mean-field models.

References

71 extracted · 71 resolved · 17 Pith anchors

[1] Vector: ΛV Q = 4 ˜q2µ h − m∗2 2 −m ∗ 2m∗ 4 ˜q2 µ + 2(p∗ 2 ·˜q)2 + (p∗ 2 ·˜q)˜q2 µ i ,(51a) ΛV L =− 4 ˜q2µ h m∗2 2 −m ∗ 2m∗ 4 ˜q2 µ + (p∗ 2 ·˜q)˜q2 µ + 2(p∗ 2 ·˜n)2 i ,(51b) ΛV T+ = 1 2 n 8 −m ∗2 2 + 2

[2] Axial-vector: ΛA Q = 4 ˜q2µ h − m∗2 2 +m ∗ 2m∗ 4 ˜q2 µ + 2(p∗ 2 ·˜q)2 + (p∗ 2 ·˜q)˜q2 µ i ,(52a) ΛA L =− 4 ˜q2µ h m∗2 2 +m ∗ 2m∗ 4 ˜q2 µ + (p∗ 2 ·˜q)˜q2 µ + 2(p∗ 2 ·˜n)2 i ,(52b) ΛA T+ = 1 2 n 8 −m∗2

[3] Tensor: ΛT L = 1 M2 N n m∗2 2 +m ∗ 2m∗ 4 ˜q2 µ −(p ∗ 2 ·˜q) ˜q2 µ + 2(p∗ 2 ·˜q) + 2(p ∗ 2 ·˜n)2 o ,(53a) ΛT T+ = 1 2 1 M2 N m∗2 2 + 3m∗ 2m∗ 4 ˜q2 µ −3(p ∗ 2 ·˜q)˜q2 µ −4(p ∗ 2 ·˜q)2 −Λ T L .(53b)

[4] Pseudoscalar: ΛP Q = 4 ˜q2 µ M2 N m∗2 2 −m ∗ 2m∗ 4 + (p∗ 2 ·˜q) .(54)

[5] Vector axial-vector: ΛV A T− =−8i(p ∗ 2 ·˜n).(55)

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:46.109688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8547a5292c649b25de8ff5bf22d0426672ed2d1e39a735f26d7be0231df3dc

Aliases

arxiv: 2605.17563 · arxiv_version: 2605.17563v1 · doi: 10.48550/arxiv.2605.17563 · pith_short_12: XSCUPJJJFRSJ · pith_short_16: XSCUPJJJFRSJWJO6 · pith_short_8: XSCUPJJJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSCUPJJJFRSJWJO6R7236IWQIJ \
  | 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: bc8547a5292c649b25de8ff5bf22d0426672ed2d1e39a735f26d7be0231df3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4658b63a169121baacbba24f3c9f04798d49942e6d36ef933100a3d8daa8974",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-05-17T17:48:59Z",
    "title_canon_sha256": "48f9f8665ded1e0f085c1c3269b4c910d0e118dc73982e4dec7c30793fa0eabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17563",
    "kind": "arxiv",
    "version": 1
  }
}