High Energy Physics - Lattice · arXiv:hep-lat/0206011 v2 · submitted 15 Jun 2002
I=2 Pion Scattering Length with the Wilson Fermion
The paper says
“We obtain in the continuum limit a0mπ = −0.0410(69), which is consistent with the prediction of chiral perturbation theory a0mπ = −0.0444(10).”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
The calculation of the I=2 pion scattering length in quenched lattice QCD is revisited. The calculation is carried out with the Wilson fermion action employing Lüscher's finite size scaling method at β = 5.9, 6.1, and 6.3 corresponding to the range of lattice spacing a ≃ 0.12−0.07 fm. We obtain in the continuum limit a0mπ = −0.0410(69), which is consistent with the prediction of chiral perturbation theory a0mπ = −0.0444(10).
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.85
What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.86 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The calculation of the I=2 pion scattering length in quenched lattice QCD is revisited. | contribution 0.68 | 0.51 | 0.04 | asserted 0.70 |
| The calculation is carried out with the Wilson fermion action employing L\"uscher's finite size scaling method at $\beta=5.9$, 6.1, and 6.3 corresponding to the range of lattice spacing $a\simeq 0.12 - 0.07$ fm. | method 1.00 | 0.91 | 0.03 | asserted 1.00 |
| We obtain in the continuum limit $a_0m_\pi = -0.0410(69)$, which is consistent with the prediction of chiral perturbation theory $a_0m_\pi=-0.0444(10)$. | result 1.00 | 0.96 | 0.92 | asserted 0.85 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- 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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,089 input tokens, $0.0001 reported.
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
Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD hep-lat · Jun 2005
- Lattice QCD study of the s-wave $\pi\pi $ scattering lengths in the I=0 and 2 channels hep-lat · Mar 2013
- Generalized L\"uscher Formula in Multi-channel Baryon-Meson Scattering hep-lat · Sep 2012
- Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD hep-lat · Jun 2007
How the literature uses it
14 arXiv papers cite this in 15 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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In the continuum limit, we obtain a result in reasonable agreement with the experimental value.
Papers citing it · 3 sentences without a confident label
Compares with it 1 paper
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For other lattice studies [ref] , it is actually close to this number.
Lattice QCD study of the s-wave $\pi\pi $ scattering lengths in the I=0 and 2 channels · $I=2$ channel · 0.93
Cites it as background 11 papers
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In particular, there has been a continuous effort since the 1990s in the simulation of the $ππ$ scattering using lattice QCD that covers all isospin channels [ref] .
Constraints on Disconnected Contributions in $\pi\pi$ Scattering · Introduction · 0.99
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The first lattice calculations of $ππ$ scattering were performed in quenched QCD [ref] , and the first partially-quenched QCD calculation of $ππ$ scattering (the scattering length and phase-shift) was carried through by the CP-PACS collaboration, who exploited the finite-volume strategy to study $I=2$, s-wave scattering with two flavors ($n_f=2$) of improved Wilson fermions [ref] , with pion masses in the range $m_π≃0.5-1.1 GeV$.
Hadronic Interactions from Lattice QCD · Introduction · 0.98
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Such numerical calculations (usually involving phase shifts and scattering lengths) have been calculated using Wilson lattice actions [ref] along with a several other lattice actions [ref] .
Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory · Introduction · 0.85
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