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Three charged particles in the continuum. Astrophysical examples

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V. B. Belyaev, S. B. Levin, S. L. Yakovlev

Atomic Physics · Submitted 21 Oct 2003

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

The authors' main claim We suggest a new adiabatic approach for description of three charged particles in the continuum.

how it is stated · hedged possibility 0.85 read the record →

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arXiv IDphysics/0310105 (version 1)
Pith IDXCK7RSTH, Pith's permanent record of this paper and its review
CitationS. B. Levin, S. L. Yakovlev, V. B. Belyaev. "Three charged particles in the continuum. Astrophysical examples." arXiv:physics/0310105 (2003). https://pith.science/paper/XCK7RSTH
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,866 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.16 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We suggest a new adiabatic approach for description of three charged particles in the continuum. This approach is based on the Coulomb-Fourier transformation (CFT) of three body Hamiltonian, which allows to develop a scheme, alternative to Born-Oppenheimer one. The approach appears as an expansion of the kernels of corresponding integral transformations in terms of small mass-ratio parameter. To be specific, the results are presented for the system $ppe$ in the continuum. The wave function of a such system is compared with that one which is used for estimation of the rate for triple reaction $ p+p+e\to d+\nu, $ which take place as a step of $pp$-cycle in the center of the Sun. The problem of microscopic screening for this particular reaction is discussed.

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 We suggest a new adiabatic approach for description of three charged particles in the continuum. contribution 0.99 0.85 0.18 hedged possibility 0.85
s1 This approach is based on the Coulomb-Fourier transformation (CFT) of three body Hamiltonian, which allows to develop a scheme, alternative to Born-Oppenheimer one. method 0.94 0.64 0.11 asserted 1.00
s2 The approach appears as an expansion of the kernels of corresponding integral transformations in terms of small mass-ratio parameter. method 0.99 0.71 0.08 asserted 0.98
s3 To be specific, the results are presented for the system $ppe$ in the continuum. contribution 0.68 0.68 0.05 asserted 0.93
s4 The wave function of a such system is compared with that one which is used for estimation of the rate for triple reaction $ p+p+e\to d+\nu, $ which take place as a step of $pp$-cycle in the center of the Sun. contribution 0.64 0.72 0.10 asserted 0.99
s5 The problem of microscopic screening for this particular reaction is discussed. contribution 0.90 0.51 0.08 asserted 0.57

What kind of paper the classifier reports this is: method or tool 0.99 · evidence from proof or derivation 0.98.

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

We suggest a new adiabatic approach for description of three charged particles in the continuum. This approach is based on the Coulomb-Fourier transformation (CFT) of three body Hamiltonian, which allows to develop a scheme, alternative to Born-Oppenheimer one. The approach appears as an expansion of the kernels of corresponding integral transformations in terms of small mass-ratio parameter. To be specific, the results are presented for the system $ppe$ in the continuum. The wave function of a such system is compared with that one which is used for estimation of the rate for triple reaction $ p+p+e\to d+\nu, $ which take place as a step of $pp$-cycle in the center of the Sun. The problem of microscopic screening for this particular reaction is discussed.

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