High Energy Physics - Lattice · arXiv:hep-lat/0209056 v1 · submitted 4 Sep 2002
I=2 Pion Scattering Phase Shift with Wilson Fermions
The paper says
“We present results of phase shift for I=2 S-wave ππ system with the Wilson fermions in the quenched approximation.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We present results of phase shift for I=2 S-wave ππ system with the Wilson fermions in the quenched approximation. The finite size method proposed by Lüscher is employed, and calculations are carried out at β = 5.9 (a−1 = 1.934(16) GeV from mρ) on 243 × 60, 323 × 60, and 483 × 60 lattices.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.55 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.56 · compares with prior results 0.06 · 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 present results of phase shift for I=2 $S$-wave $\pi\pi$ system with the Wilson fermions in the quenched approximation. | contribution 0.93 | 0.96 | 0.32 | asserted 1.00 |
| The finite size method proposed by L\"uscher is employed, and calculations are carried out at $\beta=5.9$ ($a^{-1}=1.934(16)$ GeV from $m_\rho$) on $24^3 \times 60$, $32^3 \times 60$, and $48^3 \times 60$ lattices. | method 1.00 | 0.90 | 0.05 | asserted 0.99 |
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 v1
Not examined
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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, 2,441 input tokens, $0.0001 reported.
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Cited by 2 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
- Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD hep-lat · Jun 2007
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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The phase shift is successfully calculated over the momentum range $0 < p^2 < 0.3 {\rm GeV}^2$.
Papers citing it
Cites it as background 4 papers
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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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The first lattice calculations of $ππ$ scattering were performed in quenched QCD [ref] , and the first full-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 $m_π≃0.5-1.1 GeV$.
Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD · Introduction · 0.98
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