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High Energy Physics - Lattice · arXiv:hep-lat/9407012 v1 · submitted 19 Jul 1994

An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD

M. Fukugita, Y. Kuramashi, H. Mino, M. Okawa, A. Ukawa

The paper says

“The results show that the N-N system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the π-N and π-π cases, a trend which is qualitatively consistent with the experiment.”

from the abstract · picked out as the main claim by a classifier

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The paper

Abstract

An exploratory study is made of the nucleon-nucleon s-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The π-N and π-π scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to mπ/mρ ≈ 0.73−0.95. The results show that the N-N system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the π-N and π-π cases, a trend which is qualitatively consistent with the experiment. Problems toward a more realistic calculation for light quarks are discussed.

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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 0.95 · human participants 0.01 · controlled comparison 0.26 · randomized assignment 0.01 · states quantitative result 0.68 · compares with prior results 0.82 · 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.

SentenceRoleThe authors' own workStates the main conclusionStrength
An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. contribution 0.99 0.94 0.04 asserted 0.81
The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. contribution 0.87 0.92 0.02 asserted 0.98
The calculations are made with heavy quarks corresponding to $m_\pi/m_\rho\approx 0.73-0.95$. method 0.99 0.90 0.02 asserted 0.99
The results show that the $N$-$N$ system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the $\pi$-$N$ and $\pi$-$\pi$ cases, a trend which is qualitatively consistent with the experiment. result 0.99 0.96 0.91 asserted 0.97
Problems toward a more realistic calculation for light quarks are discussed. limitation 0.66 0.39 0.02 unclear 0.78

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

  • 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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,324 input tokens, $0.0002 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 9 Pith papers
How the literature uses it

15 arXiv papers cite this in 16 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Compares with it 1 paper
  • These $NN$ scattering lengths extracted from the NBS wave function agree in sign but are much smaller in magnitude than the previous quenched results from the finite size method in smaller volume [ref] , while they disagree even in sign with the recent full QCD results form the finite size method (See Ref. [ref] and references therein.).

    Hadron interactions in lattice QCD · Quenched QCD results for (effective) central potentials · 1.00

Cites it as background 11 papers
  • During the last several years, there has been a substantial effort to determine the NN interactions directly from quantum chromodynamics (QCD) using the numerical technique of Lattice QCD (LQCD) [ref] .

    Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry · Introduction · 0.93

  • Multiple studies of the finite-volume two-nucleon spectrum from LQCD have been undertaken at a range of quark masses [ref] .

    Constraints on the finite volume two-nucleon spectrum at $m_\pi \approx 806$ MeV · Introduction · 0.92

  • 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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