High Energy Physics - Lattice · arXiv:2001.06199 v1 · submitted 17 Jan 2020
Two-pion scattering amplitude from Bethe-Salpeter wave function at the interaction boundary
The paper says
“We observe that the ratio of the on-shell scattering amplitude to the Bethe-Salpeter (BS) wave function outside the interaction range is almost independent of time in our quenched calculation of the I = 2 two-pion scattering with almost zero momentum.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We observe that the ratio of the on-shell scattering amplitude to the Bethe-Salpeter (BS) wave function outside the interaction range is almost independent of time in our quenched calculation of the I = 2 two-pion scattering with almost zero momentum. In order to discuss the time independence, we present a relation between the two-pion scattering amplitude and the surface term of the BS wave function at the boundary. Using the relation under some assumptions, we show that the ratio is independent of time if the two-pion four-point function in early time is dominated by scattering states with almost zero momentum in addition to the ground state of the two-pion scattering.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.97
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.72 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.07 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We observe that the ratio of the on-shell scattering amplitude to the Bethe-Salpeter (BS) wave function outside the interaction range is almost independent of time in our quenched calculation of the $I=2$ two-pion scattering with almost zero momentum. | result 1.00 | 0.95 | 0.70 | asserted 0.97 |
| In order to discuss the time independence, we present a relation between the two-pion scattering amplitude and the surface term of the BS wave function at the boundary. | contribution 0.51 | 0.86 | 0.07 | asserted 0.69 |
| Using the relation under some assumptions, we show that the ratio is independent of time if the two-pion four-point function in early time is dominated by scattering states with almost zero momentum in addition to the ground state of the two-pion scattering. | result 0.64 | 0.90 | 0.36 | asserted 0.99 |
What kind of paper the classifier reports this is: theoretical result 0.74 · evidence from simulation or computation 0.88
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
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,062 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 8 sentences without a confident label
Builds on 1 paper
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We extend the relation of the BS wave function inside $R$ in the infinite volume to the one on finite volume, and perform an exploratory study using the extended relation in the $I=2$ two-pion scattering with a small relative on-shell momentum $k$ at a heavy pion mass $m_π$ in the quenched QCD [ref] .
Scattering amplitude from Bethe-Salpeter wave function inside the interaction range · Introduction · 0.84
Cites as background 2 papers
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The relation is originally derived in quantum mechanics [ref] , and then the same relation is obtained in quantum field theory using the BS wave function [ref] .
$K \to \pi\pi$ Decays in a Finite Volume · Introduction · 0.90
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The relation is originally derived in quantum mechanics [ref] , and then the same relation is obtained in quantum field theory using the BS wave function [ref] .
I=2 Pion Scattering Length from Two-Pion Wave Functions · Introduction · 0.90
Challenges and discussion
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