Strange axial-vector mesons mixing angle

De-Min Li; Zhen Li

RECORD

Strange axial-vector mesons mixing angle

De-Min Li, Zhen Li

High Energy Physics - Phenomenology · Submitted 29 Jun 2006

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

The authors' main claim Comparison of the theoretical predictions on the strong decay widths of the $K_1(1270)$ and $K_1(1400)$ in the $^3P_0$ decay model as well as the production ratio of these two states in the $\tau$ decay between the available experimental data strongly favors that the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is about $+59.29^\circ$.

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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,597 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.84 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The masses of the $K_1(^3P_1)$ and $K_1(^1P_1)$ are considered in a nonrelativistic constituent quark model, and the absolute value of the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is determined to be about $59.29^\circ$. Comparison of the theoretical predictions on the strong decay widths of the $K_1(1270)$ and $K_1(1400)$ in the $^3P_0$ decay model as well as the production ratio of these two states in the $\tau$ decay between the available experimental data strongly favors that the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is about $+59.29^\circ$.

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	The masses of the $K_1(^3P_1)$ and $K_1(^1P_1)$ are considered in a nonrelativistic constituent quark model, and the absolute value of the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is determined to be about $59.29^\circ$.	result 0.92	0.90	0.48	asserted 0.93
s1	Comparison of the theoretical predictions on the strong decay widths of the $K_1(1270)$ and $K_1(1400)$ in the $^3P_0$ decay model as well as the production ratio of these two states in the $\tau$ decay between the available experimental data strongly favors that the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is about $+59.29^\circ$.	result 0.83	0.72	0.67	asserted 0.82

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from simulation or computation 0.54.

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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

The masses of the $K_1(^3P_1)$ and $K_1(^1P_1)$ are considered in a nonrelativistic constituent quark model, and the absolute value of the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is determined to be about $59.29^\circ$. Comparison of the theoretical predictions on the strong decay widths of the $K_1(1270)$ and $K_1(1400)$ in the $^3P_0$ decay model as well as the production ratio of these two states in the $\tau$ decay between the available experimental data strongly favors that the $K_1(^3P_1)-K_1(^1P_1)$ mixing angle is about $+59.29^\circ$.

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References

Forward citations

Cited by 2 Pith papers

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

Meson spectra in a screened relativized quark model
hep-ph 2026-11 conditional novelty 6.0 of 10

A global fit of a screened relativized quark model to 90 meson masses produces unified mass spectra and mixing angles for light, heavy-light, and heavy-heavy mesons.
A Full Reproduction of the Godfrey--Isgur Relativized Quark Model
hep-ph 2026-09 conditional novelty 5.0 of 10

An independent, open-source Julia reproduction of the Godfrey and Isgur quark model reproduces the 1985 spectrum within figure-reading precision and shows the published 1P mixing angles conflict with the model's own l...

How the literature uses it

4 arXiv papers cite this in 5 sentences

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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 a conflicting result 4 papers

This again reinforces the statement that $\theta_{K_1}\sim 33^\circ$ is much more favored than $57^\circ$.

Mixing angle of $K_1$ axial vector mesons · 0.99
The study of $D\to K_1(1270)\pi, K_1(1400)\pi$ decays excludes the positive mixing-angle solutions.

Hadronic Charmed Meson Decays Involving Axial Vector Mesons · 0.99
So we support the opinion that $\theta_{K_1}\sim33^\circ$ is much more favored than $58^{\circ}$.

Study of the $K_1(1270)-K_1(1400)$ mixing in the decays $B\to J/\Psi K_1(1270), J/\Psi K_1(1400)$ · 0.98
We conclude that $\theta_{K_1}$ is smaller than $45^\circ$.

Revisiting Axial-Vector Meson Mixing · 0.97

Papers citing it · 4 sentences without a confident label

Uses its data or values 1 paper

CNTR [ref] also gave $Γ_K^*π/Γ_Total=(94±6)%$ [ref] for the $K_1(1400)$, by which we obtain $38^∘<θ_1P < 68^∘$ with central value $θ_1P=45^∘$, where the details can be found in Fig. [ref][ CNTR [ref] gave the $Γ_K^*π(D)/Γ_K^*π(S)=0.04±0.01$ as well, which gives the angle range $-7^∘∼0^∘$ or $70^∘∼78^∘$ if we fit with the ratio, which conflicts with the previous discussion.] Hence, the above analysis shows that the mixing angle $θ_1P$ favors $45^∘$ which agrees with the conclusion made in Refs. [ref] but disagrees with Refs. [ref] , in which they obtained $θ_1P=34^∘$ and $∼60^∘$, respectively.

A systematic study of mass spectra and strong decay of strange mesons · $1P$ states · 0.91

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