{"arxiv_id":"hep-lat/0409063","incoming":{"papers":6,"sentences":8,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1004.2935","title":"Nuclear Physics from Lattice QCD","url":"/paper/1004.2935","section":"Scattering Parameters from Wavefunctions.","sentence":"The wavefunction given in Eq. ([ref]), $ϕ(|x|;k)∼Z_ππ(|x|;k) ψ_ππ(|x|;k)$ satisfies the Schrodinger equation [ref] [equation] where $U_k(x,y)$ is the Fourier transform of the modified Bethe-Salpeter kernel for the $π^+π^+$ interaction, which is generally nonlocal and energy-dependent [ref] .","intent_p":0.83,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"1107.5023","title":"The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD","url":"/paper/1107.5023","section":"Introduction","sentence":"There have been independent lattice QCD determinations of the $π^+π^+$ scattering length; with three flavors ($n_f=2+1$) of light quarks using domain-wall valence quarks on asqtad-improved staggered sea quarks [ref] , and with two flavors ($n_f=2$) of light quarks using twisted-mass quarks [ref] and improved Wilson quarks [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"0805.4629","title":"Hadronic Interactions from Lattice QCD","url":"/paper/0805.4629","section":"Introduction","sentence":"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 $m_π≃0.5-1.1 GeV$.","intent_p":0.98,"contests_p":null},{"arxiv_id":"0802.2931","title":"Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory","url":"/paper/0802.2931","section":"Introduction","sentence":"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] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"0706.3026","title":"Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD","url":"/paper/0706.3026","section":"Introduction","sentence":"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 $m_π≃0.5-1.1 GeV$.","intent_p":0.98,"contests_p":null},{"arxiv_id":"1101.3347","title":"Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations","url":"/paper/1101.3347","section":"Introduction","sentence":"These calculations were preceded by quenched LQCD calculations [ref] , and by early $n_f=2$ LQCD calculations [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":2},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[{"relation":"same_result","label":"States the same result","papers":[{"arxiv_id":"hep-lat/0503025","url":"/paper/hep-lat/0503025","title":"I=2 Pion Scattering Length from Two-Pion Wave Functions","main_claim":"We conclude that the necessary condition is satisfied within the statistical errors for the lattice sizes $L\\ge 24$ ($3.92 {\\rm fm}$) when the quark mass is in the range that corresponds to $m_\\pi^2 = 0.273-0.736 {\\rm GeV}^2$.","p":0.9}]}],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-lat/0409063"}}