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On some singularities of the correlation functions that determine neutrino opacities

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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R.F. Sawyer

Astrophysics · Submitted 18 Dec 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is clear from the form that there are no pathologies in the order by order perturbation expansion.

how it is stated · asserted 1.00 read the record →

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arXiv IDastro-ph/9812362 (version 1)
Pith IDYMUMQBQP, Pith's permanent record of this paper and its review
CitationR.F. Sawyer. "On some singularities of the correlation functions that determine neutrino opacities." arXiv:astro-ph/9812362 (1998). https://pith.science/paper/YMUMQBQP
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,226 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. It is clear from the form that there are no pathologies in the order by order perturbation expansion. Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. background 0.98 0.24 0.08 asserted 1.00
s1 A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. background 1.00 0.03 0.04 asserted 0.99
s2 Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. contribution 0.80 0.90 0.05 asserted 0.98
s3 It is clear from the form that there are no pathologies in the order by order perturbation expansion. result 0.80 0.82 0.69 asserted 1.00
s4 Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors. result 0.95 0.90 0.25 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. It is clear from the form that there are no pathologies in the order by order perturbation expansion. Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors.

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