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Higher Twist Distribution Amplitudes of the Nucleon in QCD
High Energy Physics - Phenomenology · Submitted 25 Jul 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the valence three-quark state is described at small transverse separations by eight independent distribution amplitudes.
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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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The abstract, sentence by sentence
We present the first systematic study of higher-twist light-cone distribution amplitudes of the nucleon in QCD. We find that the valence three-quark state is described at small transverse separations by eight independent distribution amplitudes. One of them is leading twist-3, three distributions are twist-4 and twist-5, respectively, and one is twist-6. A complete set of distribution amplitudes is constructed, which satisfies equations of motion and constraints that follow from conformal expansion. Nonperturbative input parameters are estimated from QCD sum rules.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present the first systematic study of higher-twist light-cone distribution amplitudes of the nucleon in QCD. | contribution 1.00 | 0.95 | 0.17 | asserted 1.00 |
| s1 | We find that the valence three-quark state is described at small transverse separations by eight independent distribution amplitudes. | result 1.00 | 0.96 | 0.37 | asserted 1.00 |
| s2 | One of them is leading twist-3, three distributions are twist-4 and twist-5, respectively, and one is twist-6. | result 0.99 | 0.86 | 0.24 | asserted 1.00 |
| s3 | A complete set of distribution amplitudes is constructed, which satisfies equations of motion and constraints that follow from conformal expansion. | contribution 0.58 | 0.93 | 0.13 | asserted 1.00 |
| s4 | Nonperturbative input parameters are estimated from QCD sum rules. | method 0.97 | 0.85 | 0.05 | asserted 1.00 |
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The paper
Original abstract
We present the first systematic study of higher-twist light-cone distribution amplitudes of the nucleon in QCD. We find that the valence three-quark state is described at small transverse separations by eight independent distribution amplitudes. One of them is leading twist-3, three distributions are twist-4 and twist-5, respectively, and one is twist-6. A complete set of distribution amplitudes is constructed, which satisfies equations of motion and constraints that follow from conformal expansion. Nonperturbative input parameters are estimated from QCD sum rules.
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References
How the literature uses it
39 arXiv papers cite this in 96 sentences
Papers citing it · 70 sentences without a confident label
Uses its method or tool 5 papers
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In the present work, we would like to follow the prescription presented in [ref] for LCSR approach to study the rare decay of $Λ_b →Λ+ γ$ and $Λ_b →Λ+ l^+ l^-$, which can be also generalized to the decays of $Λ_b$ to heavier $Λ$ baryons [ref] , once the distribution amplitudes of corresponding baryons are available.
Rare Decays of \Lambda_b->\Lambda + \gamma and \Lambda_b ->\Lambda + l^{+} l^{-} in the Light-cone Sum Rules · Introduction · 0.80
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Using twist-projection, we obtain the results for the distribution amplitudes $S_i^B$, $P_i^B$, $A_i^B$, $V_i^B$ and $T_i^B$ which are independent of the scalar product $n ·p$, due to the scaling property described in section [ref] (For the details of the twist-projection we refer to [ref] ).
Model-independent calculation of $SU(3)_f$ violation in baryon octet light-cone distribution amplitudes · Projection onto standard DAs · 0.98
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Here, have employ the following abbreviations from [ref] for different twists: * twist four: [equation] * twist five: [equation] * twist six: [equation] where for all the functions used above, $F_i=F_i(x_1,x_2,1-x_1-x_2)$.
Constraints on the mass of the dark antibaryon using $B_d\rightarrow \Lambda \psi_{DS}$ channel in light cone QCD · Explicit Expression for $ℬ_M^2Π^(s),(b)_R$ and $ℬ_M^2Π̃^(s),(b)_L$ · 0.89
Uses its data or values 3 papers
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The explicit expressions of the relevant DAs as well as the values of the parameters ($f$, $λ_1$, and $λ_2$) determined from the analysis of mass sum rules [ref] are presented in Table [ref] for completeness.
Analysis of the strong decays of SU(3) partners of the $\Omega(2012)$ baryon · Numerical Analysis · 0.98
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Table [ref] contains the QCD sum rule values for $f_N$, $λ_1$ and $λ_2$ at scales of $1$ (taken from Refs. [ref] ) and $2$ (rescaled in the one-loop approximation with $Λ_MS=226$ following Ref. [ref] for better comparability).
Chiral extrapolation of nucleon wave function normalization constants · Fitting of lattice data · 0.95
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Specifically, we use $f_N=(0.53±0.05)×10^-2 GeV^2$, $λ_1=(-2.7±0.9)×10^-2 GeV^2$, and $λ_2=(5.1±1.9)×10^-2 GeV^2$ [ref] .
Revisiting $\bar B^0 \rightarrow \Lambda_c^+ \bar p$ decay with higher twist corrections · Numerical results · 0.99
Compares with it 4 papers
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Our expressions agree up to next-to-leading conformal spin with the correspondings ones of [ref] .
The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N \to \Delta$ transition at intermediate values of $Q^2$ · Expansion of the nucleon distribution amplitude of twist-3 up to next-to-next-to leading conformal spin · 1.00
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Our results confirm the relative signs of $f_N$, $λ_1$ and $λ_2$ calculated in [ref] .
Nucleon distribution amplitudes and proton decay matrix elements on the lattice · Unconstrained analysis · 0.99
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[ref] it is no surprise that [equation] We can also match some of our constants to the leading twist normalization constants given in ref.
Model-independent calculation of $SU(3)_f$ violation in baryon octet light-cone distribution amplitudes · Matching to other definitions in the literature · 0.92
Cites it as background 11 papers
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Fortunately, an exciting attempt to study the LCDAs of baryon systematically was carried out in [ref] for the first time, where all the transverse degrees of freedom are integrated out and the higher twist distribution amplitudes contributed by the light-ray operators involving “minus” components of the quark field operators were investigated in detail.
Rare Decays of \Lambda_b->\Lambda + \gamma and \Lambda_b ->\Lambda + l^{+} l^{-} in the Light-cone Sum Rules · Introduction · 0.85
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The general Lorentz decomposition of the matrix element defined in Eq. ([ref]) reads [ref] [equation]
The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N \to \Delta$ transition at intermediate values of $Q^2$ · Nucleon distribution amplitudes up to twist-6 · 0.83
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The higher-twist DAs were systematically studied for the nucleon in Ref. [ref] and were associated with the electromagnetic form factors in Refs. [ref] .
Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon · Introduction · 0.94
Discussion
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