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$CP^2$ soliton scattering: The collective coordinate approximation

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J. Burzlaff, W.J. Zakrzewski

High Energy Physics - Theory · Submitted 5 Nov 1997

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

The authors' main claim The solutions show how the generalized Hopf term changes the scattering angle which in its absence is $90^{\circ}$.

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arXiv IDhep-th/9711026 (version 1)
Pith IDPOQYXN46, Pith's permanent record of this paper and its review
CitationJ. Burzlaff, W.J. Zakrzewski. "$CP^2$ soliton scattering: The collective coordinate approximation." arXiv:hep-th/9711026 (1997). https://pith.science/paper/POQYXN46
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,568 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.38 · randomized assignment 0.01 · states quantitative result 0.92 · compares with prior results 0.78 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The $CP^2$ model, with and without a generalized Hopf term, is studied using the collective coordinate approximation. In the spirit of this approximation, an ansatz is given which in previous numerical studies was seen to give a good parameterization of the numerical solution. The equations of motion for the collective coordinates are then solved analytically, for solitons close together and for solitons far apart. The solutions show how the generalized Hopf term changes the scattering angle which in its absence is $90^{\circ}$.

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 The $CP^2$ model, with and without a generalized Hopf term, is studied using the collective coordinate approximation. contribution 0.88 0.86 0.06 asserted 0.99
s1 In the spirit of this approximation, an ansatz is given which in previous numerical studies was seen to give a good parameterization of the numerical solution. method 0.87 0.48 0.03 asserted 0.95
s2 The equations of motion for the collective coordinates are then solved analytically, for solitons close together and for solitons far apart. method 0.93 0.93 0.09 asserted 1.00
s3 The solutions show how the generalized Hopf term changes the scattering angle which in its absence is $90^{\circ}$. result 0.98 0.89 0.75 asserted 1.00

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

The $CP^2$ model, with and without a generalized Hopf term, is studied using the collective coordinate approximation. In the spirit of this approximation, an ansatz is given which in previous numerical studies was seen to give a good parameterization of the numerical solution. The equations of motion for the collective coordinates are then solved analytically, for solitons close together and for solitons far apart. The solutions show how the generalized Hopf term changes the scattering angle which in its absence is $90^{\circ}$.

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