High Energy Physics - Lattice · arXiv:2010.01270 v2 · submitted 3 Oct 2020
The negative-parity spin-1/2 Λ baryon spectrum from lattice QCD and effective theory
The paper says
“Comparing the energy level spectrum and SU(3) flavor decompositions of the individual states, it is found that the lowest two states extracted from lattice QCD can be identified with one of the two Λ(1405)-poles and the Λ(1670) resonance.”
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Abstract
The spectrum of the negative-parity spin-1/2 Λ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering the hadronic effective theory in a finite volume and with hadron masses and mesonic decay constants that correspond to the situation studied on the lattice. Comparing the energy level spectrum and SU(3) flavor decompositions of the individual states, it is found that the lowest two states extracted from lattice QCD can be identified with one of the two Λ(1405)-poles and the Λ(1670) resonance. The quark mass dependences of these two lattice QCD levels are in good agreement with their effective theory counterparts. However, as current lattice QCD studies still rely on three-quark operators to generate the physical states, clear signals corresponding to the meson-baryon scattering states, that appear in the finite volume effective theory calculation, are not yet seen.
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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 0.94 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.91 · mentions code or data availability 0.02
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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 spectrum of the negative-parity spin-1/2 $\Lambda$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. | contribution 0.86 | 0.89 | 0.06 | asserted 0.99 |
| A direct comparison between the two approaches is possible by considering the hadronic effective theory in a finite volume and with hadron masses and mesonic decay constants that correspond to the situation studied on the lattice. | method 0.95 | 0.42 | 0.04 | hedged possibility 0.81 |
| Comparing the energy level spectrum and $SU(3)$ flavor decompositions of the individual states, it is found that the lowest two states extracted from lattice QCD can be identified with one of the two $\Lambda(1405)$-poles and the $\Lambda(1670)$ resonance. | result 0.90 | 0.93 | 0.70 | asserted 1.00 |
| The quark mass dependences of these two lattice QCD levels are in good agreement with their effective theory counterparts. | result 1.00 | 0.88 | 0.12 | asserted 0.99 |
| However, as current lattice QCD studies still rely on three-quark operators to generate the physical states, clear signals corresponding to the meson-baryon scattering states, that appear in the finite volume effective theory calculation, are not yet seen. | limitation 0.94 | 0.66 | 0.09 | asserted 0.97 |
What kind of paper the classifier reports this is: simulation study 0.96 · evidence from simulation or computation 0.98
What was examined, and what was not
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- arXiv listing abstract v2
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- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,475 input tokens.
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Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Novel approaches in Hadron Spectroscopy hep-ph · Dec 2021
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 2 sentences without a confident label
Cites it as support 1 paper
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Analysis of the lattice QCD (LQCD) data also supports this picture [ref] .
Lowest-lying ${\frac{1}{2}}^-$ and ${\frac{3}{2}}^-$ $\Lambda_{Q}$ resonances: from the strange to the bottom sectors · Unitary chiral perturbation theory and hadroni-molecules · 0.98
Cites it as background 2 papers
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The first explorations of the trajectories of the $Λ(1405)$ with increasing pion masses can be found in Refs. [ref] .
Pole trajectories of the $\Lambda(1405)$ helps establish its dynamical nature · Introduction · 0.97
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However, there have been many other options explored since then, including conventional baryon states, dynamically generated states, three-quark states mixing with multiquark components as well as other explanations [ref] .
Structure of the $\mathbf{\Lambda(1670)}$ resonance · introduction · 1.00
What it cites · 49 sentences without a confident label
Uses the method or tool of 8 papers
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Let us here summarize the methods adopted in Ref. [ref] .
Flavor structure of $\Lambda$ baryons from lattice QCD: From strange to charm quarks · Lattice QCD · 0.98
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For this purpose, we follow the formalism developed in Ref. [ref] .
Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector · Finite volume CUA with non-physical hadron masses · 0.99
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For a bound/resonance state, one can calculate the relative size of the meson-baryon molecule admixture $| MB_i ⟩$ by using the compositeness $X_i$, given by [ref] [equation] where the couplings $g_i$ and $g_j$ are calculated from the behavior of the amplitude $T$ close to the pole of interest, [equation] with $√(s_P) = M_P - i Γ_P/2$, $M_R$ and $Γ_P$ being the mass and width of the considered state (for a bound state, $Γ_P = 0$).
Structure and compositeness of hadron resonances · Compositeness · 0.97
Uses data or values from 3 papers
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Referring to Ref. [ref] for details, we here reproduce the relevant $g_i^1$ and $g_i^8$ normalized singlet and octet overlaps from that work in Table [ref].
Flavor structure of $\Lambda$ baryons from lattice QCD: From strange to charm quarks · Flavor structure · 0.81
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In this work, gauge configurations with 2+1 active flavors were employed, which were originally generated by the PACS-CS Collaboration [ref] .
2+1 Flavor Lattice QCD toward the Physical Point · Lattice QCD · 0.94
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The corresponding values for baryon masses, meson masses and decay constants, used as input for the CUA calculation, are given in Table II of Ref. [ref] .
The pole structure of the Lambda(1405) in a recent QCD simulation · Spectrum · 0.99
Compares with 7 papers
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The main findings of this work can be summarized as follows. * While the CUA at infinite volume generates two poles corresponding to the $Λ(1405)$ and one corresponding to the $Λ(1670)$, finite volume lattice QCD simulations find only one state that clearly encodes information about the $Λ(1405)$ at infinite volume and, at least for Ref. [ref] , another one representing the $Λ(1670)$.
Flavor structure of $\Lambda$ baryons from lattice QCD: From strange to charm quarks · Summary and conclusions · 0.88
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Next, we compare the recent lattice results of the Adelaide group [ref] to our finite volume CUA calculation.
Structure of the $\mathbf{\Lambda(1405)}$ from Hamiltonian effective field theory · Spectrum · 0.99
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Next, we compare the recent lattice results of the Adelaide group [ref] to our finite volume CUA calculation.
Electromagnetic Form Factors for the $\Lambda$(1405) · Spectrum · 0.99
Cites as support 1 paper
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As it was already discussed in Ref. [ref] and again confirmed in this work, the fact that only one state closely related to the $Λ(1405)$ is found is actually a finite-volume effect and it is not related to any other deficiency of the lattice QCD calculation.
Compositeness of hadron resonances in finite volume · Summary and conclusions · 0.97
Cites as background 11 papers
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Similar studies have already been performed for instance in Refs. [ref] .
Structure of the $\mathbf{\Lambda(1405)}$ from Hamiltonian effective field theory · Introduction · 0.82
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Similar studies have already been performed for instance in Refs. [ref] .
Compositeness of hadron resonances in finite volume · Introduction · 0.82
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Similar studies have already been performed for instance in Refs. [ref] .
The pole structure of the Lambda(1405) in a recent QCD simulation · Introduction · 0.82
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