Nuclear Theory · arXiv:1002.2560 v1 · submitted 12 Feb 2010
Single-pole nature of Lambda (1405) and structure of K-pp
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“Detailed analysis reveals single-pole nature of the observable Lambda (1405).”
from the abstract · picked out as the main claim by a classifier
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Abstract
We have studied the structure of K- pp by solving this system in a variational treatment, starting from ansatz that Lambda(1405) is a K-p quasi-bound state, Lambda* with mass 1405 MeV/c2. The structure of K-pp reveals a molecular feature, namely, the K- in an "atomic center", Lambda*, plays a key role in producing strong covalent bonding with the other proton. Deeply bound Kbar nuclear systems are formed by this "super-strong" nuclear force due to migrating real bosons, Kbar, a la Heitler-London-Heisenberg, which overcompensates the stiff nuclear incompressibility. Theoretical background of the Lambda (1405) ansatz is discussed in connection with the double-pole picture of Lambda (1405) based on chiral SU(3) dynamics. Detailed analysis reveals single-pole nature of the observable Lambda (1405). There are two kinds of Sigma pi invariant masses experimentally observable, the usual T22 invariant mass and the conversion T21 invariant mass. It is of vital importance to determine whether the Lambda* mass is 1405 MeV or 1420 MeV. The T21 invariant mass from K- absorption at rest in deuteron can provide decisive information about this Lambda* mass problem.
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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 0.04 · states limitation 0.15 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.48 · 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 have studied the structure of K- pp by solving this system in a variational treatment, starting from ansatz that Lambda(1405) is a K-p quasi-bound state, Lambda* with mass 1405 MeV/c2. | method 0.58 | 0.93 | 0.07 | asserted 0.99 |
| The structure of K-pp reveals a molecular feature, namely, the K- in an "atomic center", Lambda*, plays a key role in producing strong covalent bonding with the other proton. | interpretation 0.59 | 0.78 | 0.27 | asserted 1.00 |
| Deeply bound Kbar nuclear systems are formed by this "super-strong" nuclear force due to migrating real bosons, Kbar, a la Heitler-London-Heisenberg, which overcompensates the stiff nuclear incompressibility. | interpretation 0.79 | 0.40 | 0.13 | asserted 1.00 |
| Theoretical background of the Lambda (1405) ansatz is discussed in connection with the double-pole picture of Lambda (1405) based on chiral SU(3) dynamics. | background 0.99 | 0.23 | 0.04 | asserted 0.75 |
| Detailed analysis reveals single-pole nature of the observable Lambda (1405). | result 0.99 | 0.89 | 0.72 | asserted 1.00 |
| There are two kinds of Sigma pi invariant masses experimentally observable, the usual T22 invariant mass and the conversion T21 invariant mass. | background 0.88 | 0.15 | 0.03 | asserted 1.00 |
| It is of vital importance to determine whether the Lambda* mass is 1405 MeV or 1420 MeV. | gap 0.74 | 0.08 | 0.04 | asserted 0.87 |
| The T21 invariant mass from K- absorption at rest in deuteron can provide decisive information about this Lambda* mass problem. | method 0.41 | 0.24 | 0.08 | asserted 0.77 |
What kind of paper the classifier reports this is: theoretical result 0.73 · evidence from simulation or computation 0.95
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,408 input tokens, $0.0003 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
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Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
5 arXiv papers cite this in 6 sentences
Papers whose main result relates to this one's
States a conflicting result 5 papers
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The data of these two experiments, together with the present theoretical analysis, provides a firm evidence of the two pole structure of the Lambda(1405).
Evidence for the two pole structure of the Lambda(1405) resonance · 0.99
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We use recent data on the $K^- p \to \pi^0 \pi^0 \Sigma^0$ reaction with the $\pi^0 \Sigma^0$ mass distribution of forming the $\Lambda(1405)$ with a peak at 1420 MeV and a relatively narrow width of $\Gamma = 38$ MeV, together with those of the $\pi^- p \to K^0 \pi \Sigma$ reaction to show that there are two $\Lambda(1405)$ states instead of one as so far assumed.
On the nature of the Lambda(1405) as a superposition of two states · 0.99
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The data of these two experiments, together with the present theoretical analysis, provides for the first time a clear experimental evidence of the two pole structure of the Lambda(1405).
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The inference-guided pole parameter extraction reveals that the $\Lambda(1405)$ is a two-state system, characterized by a molecular state sitting below the $\bar{K}N$ threshold and a non-molecular state lying above the $\Sigma \pi$ threshold.
Revisiting the $\Lambda(1405)$ pole structure with convolutional neural networks · 0.98
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With the properly normalized wave function, we demonstrate and confirm that the high-mass pole of the Lambda(1405) is dominated by the Kbar N component.
Construction of a local barK N-pi Sigma-pi Lambda potential and composition of the Lambda(1405) · 0.83
Papers citing it · 5 sentences without a confident label
Cites it as background 1 paper
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The mass and different decay properties of $Λ(1405)$ were studied using different theoretical methods including lattice QCD [ref] .
Mass and residue of $ \Lambda(1405)$ as hybrid and excited ordinary baryon · Introduction · 0.90
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