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Complete Numerical Solution of the Temkin-Poet Three-Body Problem

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S. Jones, A. T. Stelbovics

Atomic Physics · Submitted 4 Jun 1999

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

The authors' main claim Here we report converged energy distributions for ionization of H(1s) by numerically integrating Schroedinger's equation subject to correct asymptotic boundary conditions for the Temkin-Poet model collision problem, which neglects angular momentum.

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arXiv IDphysics/9906009 (version 1)
Pith ID2VIGMCQE, Pith's permanent record of this paper and its review
CitationA. T. Stelbovics, S. Jones. "Complete Numerical Solution of the Temkin-Poet Three-Body Problem." arXiv:physics/9906009 (1999). https://pith.science/paper/2VIGMCQE
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,703 input tokens.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.26 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.96 · mentions code or data availability 0.03.

The abstract, sentence by sentence

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

Although the convergent close-coupling (CCC) method has achieved unprecedented success in obtaining accurate theoretical cross sections for electron-atom scattering, it generally fails to yield converged energy distributions for ionization. Here we report converged energy distributions for ionization of H(1s) by numerically integrating Schroedinger's equation subject to correct asymptotic boundary conditions for the Temkin-Poet model collision problem, which neglects angular momentum. Moreover, since the present method is complete, we obtained convergence for all transitions in a single calculation. Complete results, accurate to 1%, are presented for impact energies of 54.4 and 40.8 eV, where CCC results are available for comparison.

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 Although the convergent close-coupling (CCC) method has achieved unprecedented success in obtaining accurate theoretical cross sections for electron-atom scattering, it generally fails to yield converged energy distributions for ionization. background 0.60 0.08 0.04 asserted 1.00
s1 Here we report converged energy distributions for ionization of H(1s) by numerically integrating Schroedinger's equation subject to correct asymptotic boundary conditions for the Temkin-Poet model collision problem, which neglects angular momentum. contribution 0.95 0.97 0.67 asserted 1.00
s2 Moreover, since the present method is complete, we obtained convergence for all transitions in a single calculation. result 0.49 0.95 0.17 asserted 1.00
s3 Complete results, accurate to 1%, are presented for impact energies of 54.4 and 40.8 eV, where CCC results are available for comparison. result 0.99 0.93 0.18 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.96 · evidence from simulation or computation 1.00.

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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

Although the convergent close-coupling (CCC) method has achieved unprecedented success in obtaining accurate theoretical cross sections for electron-atom scattering, it generally fails to yield converged energy distributions for ionization. Here we report converged energy distributions for ionization of H(1s) by numerically integrating Schroedinger's equation subject to correct asymptotic boundary conditions for the Temkin-Poet model collision problem, which neglects angular momentum. Moreover, since the present method is complete, we obtained convergence for all transitions in a single calculation. Complete results, accurate to 1%, are presented for impact energies of 54.4 and 40.8 eV, where CCC results are available for comparison.

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