Can Low Mass Scalar Meson Nonet Survive in Large N_c Limit ?

Masayuki Uehara

RECORD

Can Low Mass Scalar Meson Nonet Survive in Large N_c Limit ?

Masayuki Uehara

High Energy Physics - Phenomenology · Submitted 25 Aug 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We study, within an approximate Inverse Amplitude Method to unitarize Chiral Perturbation Theory, whether low mass scalar mesons can survive in large N_c regime, and show that vector mesons such as \rho and K^* survive as narrow width resonances, but all of the scalar meson nonet below 1GeV fade out as N_c becomes large.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.19 · mentions code or data availability 0.01.

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We study, within an approximate Inverse Amplitude Method to unitarize Chiral Perturbation Theory, whether low mass scalar mesons can survive in large N_c regime, and show that vector mesons such as \rho and K^* survive as narrow width resonances, but all of the scalar meson nonet below 1GeV fade out as N_c becomes large.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study, within an approximate Inverse Amplitude Method to unitarize Chiral Perturbation Theory, whether low mass scalar mesons can survive in large N_c regime, and show that vector mesons such as \rho and K^* survive as narrow width resonances, but all of the scalar meson nonet below 1GeV fade out as N_c becomes large.	result 0.66	0.95	0.96	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.72.

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P abstract

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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study, within an approximate Inverse Amplitude Method to unitarize Chiral Perturbation Theory, whether low mass scalar mesons can survive in large N_c regime, and show that vector mesons such as \rho and K^* survive as narrow width resonances, but all of the scalar meson nonet below 1GeV fade out as N_c becomes large.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

On the nature of light scalar mesons from their large $N_c$ behavior
hep-ph 2003-09 conditional novelty 6.0 of 10

Rescaling the fitted chiral parameters of unitarized meson scattering by their large-Nc counting rules shows the sigma, kappa and f0(980) poles do not survive as Nc grows, unlike the rho and K*.
Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
hep-ph 2005-05 conditional novelty 5.0 of 10

A two-color, two-flavor technicolor model in the symmetric representation survives electroweak precision data at 90% CL and yields a composite Higgs lighter than 150 GeV.
Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
hep-ph 2008-04 conditional novelty 4.0 of 10

A conjectured all-orders beta function for SU(N) gauge theories is used to map the conformal window across matter representations, and that map is then applied to walking technicolor, unparticle, and unification model...

How the literature uses it

1 arXiv paper cite this in 1 sentence

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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 2 papers

The vectors follow a qqbar behavior, whereas the sigma, kappa and f_0(980) scalars disappear for large N_c, in support of a qqqbarqbar-like nature.

On the nature of light scalar mesons from their large $N_c$ behavior · 0.98
We obtain the result that vector mesons such as rho and K* survive as narrow width resonances, but all of the scalar meson nonet below 1 GeV fade out as Nc exceeds a rather small number about 6.

Large Nc Behavior of Light Scalar Meson Nonet Revisited · 0.97

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