Quark Counting, Drell-Yan West, and the Pion Wave Function

Gerald A. Miller; Mary Alberg

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Quark Counting, Drell-Yan West, and the Pion Wave Function

Mary Alberg, Gerald A. Miller

High Energy Physics - Phenomenology · Submitted 5 Mar 2024

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

The authors' main claim This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied.

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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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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,612 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.67 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.80 · 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 relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(\Delta^2)$ is explored. The square of the leading-twist pion wave function at a special probe scale, $\zeta_H$, is determined using models and Poincare covariance from realistic results for $q(x)$. This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied. A new relationship between $q(x)$ and $F(\Delta^2)$ is proposed.

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 relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(\Delta^2)$ is explored.	background 0.53	0.70	0.04	asserted 0.71
s1	The square of the leading-twist pion wave function at a special probe scale, $\zeta_H$, is determined using models and Poincare covariance from realistic results for $q(x)$.	method 0.90	0.84	0.06	asserted 1.00
s2	This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied.	result 1.00	0.90	0.58	asserted 1.00
s3	A new relationship between $q(x)$ and $F(\Delta^2)$ is proposed.	contribution 0.74	0.88	0.48	asserted 0.94

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from simulation or computation 0.76.

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arXiv listing abstract v1

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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

The relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(\Delta^2)$ is explored. The square of the leading-twist pion wave function at a special probe scale, $\zeta_H$, is determined using models and Poincare covariance from realistic results for $q(x)$. This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied. A new relationship between $q(x)$ and $F(\Delta^2)$ is proposed.

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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

What it cites · 14 sentences without a confident label

Uses data or values from 1 paper

To this end, we note that $q(x)$ at $ζ_H^2$ is described as a parameter-free prediction of the pion valence-quark distribution function in Ref. [ref] : q(x) = 375.32 x^2(1 - x)^2 [1-2.5088 √(x(1-x))+2.0250x(1-x)]^2 , ≡∑_N=4^8 C_N (x(1-x))^N/2.

Concerning pion parton distributions · Light-Front analysis · 0.95

Cites as support 1 paper

See e.g. Ref. [ref] .

Symmetry, symmetry breaking, and pion parton distributions · Light-Front analysis · 0.97

Cites as background 3 papers

Much recent and old theoretical attention has been devoted to determining and understanding the behavior of the valence pion quark distribution function, $q_v(x)$, at high values of Bjorken $x$, see e.g. the review [ref] .

Distribution Functions of the Nucleon and Pion in the Valence Region · Introduction · 0.99
There are also plans to re-measure the quark distribution of the pion, $q(x)$ via a new Drell-Yan measurement [ref] .

Letter of Intent: A New QCD facility at the M2 beam line of the CERN SPS (COMPASS++/AMBER) · Introduction · 0.92
There are plans to measure the pion electromagnetic form factor at JLab and at the planned EIC [ref] .

Pion and Kaon Structure at the Electron-Ion Collider · Introduction · 0.82

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