Pith Number

pith:3MLLAGMS

pith:2026:3MLLAGMSM4WTP3225GLDCM6PQ7

not attested not anchored not stored refs resolved

A self-consistent spectral framework for inclusive non-elastic breakup, with the Trojan Horse method as the sub-Coulomb resonant limit

Jin Lei

The Trojan Horse Method resonance formula reduces from the per-pole DWBA cross section under four specific approximations.

arxiv:2605.16890 v1 · 2026-05-16 · nucl-th

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\pithnumber{3MLLAGMSM4WTP3225GLDCM6PQ7}

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Record completeness

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4 Citations open

5 Replications open

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Claims

C1strongest claim

The factorized PWIA-THM resonance-strength formula is identified as a non-perturbative reduction of the per-pole DWBA cross section under four approximations (plane-wave substitution on the entrance and exit distorted waves, zero-range or surface-localized treatment of the spectator-participant interaction, on-shell evaluation of the binary subreaction vertex, and post-form remnant neglect), not a multiplicative correction factor. The per-pole DWBA pole cross section is the natural extraction quantity for sub-Coulomb resonance-strength analysis.

C2weakest assumption

A diagonal isolated-pole spectral ansatz for the absorptive participant-target optical potential with three explicit validity conditions, two closed by R-matrix tabulations and the third a model-dependent continuum-decoupling diagnostic.

C3one line summary

Introduces a diagonal isolated-pole spectral ansatz that reduces the IAV cross section to per-pole DWBA terms in the resonant limit, identifying the PWIA-THM formula as a non-perturbative approximation under plane-wave, zero-range, on-shell, and remnant-neglect conditions.

References

49 extracted · 49 resolved · 4 Pith anchors

[1] examines the sensitivity of the IAV inclusive non- elastic breakup cross section to the interior part of the entrance and exit distorted waves through a radial cut-off scheme that retains the full asy

[2] G. Baur, Phys. Lett. B178, 135 (1986) 1986

[3] C. Anguloet al., Nucl. Phys. A656, 3 (1999) 1999

[4] R. E. Tribble, C. A. Bertulani, M. La Cognata, A. M. Mukhamedzhanov, and C. Spitaleri, Rept. Prog. Phys. 77, 106901 (2014) 2014

[5] A. Tumino, C. A. Bertulani, M. La Cognata, L. Lamia, R. G. Pizzone, S. Romano, and S. Typel, Ann. Rev. Nucl. Part. Sci.71, 345 (2021) 2021

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:28.564835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db16b01992672d37ef5ae9963133cf87f95853f46e97504f65331131445bd37c

Aliases

arxiv: 2605.16890 · arxiv_version: 2605.16890v1 · doi: 10.48550/arxiv.2605.16890 · pith_short_12: 3MLLAGMSM4WT · pith_short_16: 3MLLAGMSM4WTP322 · pith_short_8: 3MLLAGMS

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MLLAGMSM4WTP3225GLDCM6PQ7 \
  | 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: db16b01992672d37ef5ae9963133cf87f95853f46e97504f65331131445bd37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c7f1562a8ace3b7a571f12f9febd687006b7dd51f95c188c7c116db926f1e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2026-05-16T09:05:51Z",
    "title_canon_sha256": "589b7ff67e7405183ae20fd32f5fa55b9751be9c95c069e5b199e1130b7afe25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16890",
    "kind": "arxiv",
    "version": 1
  }
}