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2023
DOI: 10.1088/0256-307x/40/4/041201
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Empirical Determination of the Pion Mass Distribution

Abstract: Existing pion+nucleus Drell-Yan and electron+pion scattering data are used to develop ensembles of model-independent representations of the pion generalised parton distribution (GPD). Therewith, one arrives at a data-driven prediction for the pion mass distribution form factor, $\theta_2^\pi $. Compared with the pion elastic electromagnetic form factor, $\theta_2^\pi$ is harder: the ratio of the radii derived from these two form factors is $r_\pi^{\theta_2}/r_\pi = 0.79(3)$. Our data-driven predictions for the… Show more

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Cited by 7 publications
(5 citation statements)
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References 89 publications
(200 reference statements)
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“…Instead, the peak is shifted to 2 (∆ 2 ) -Ref. [50]. Comparison curves: CSM prediction for θ π 2 (∆ 2 ) in Refs.…”
Section: Wave Functions Of Nambu-goldstone Bosonsmentioning
confidence: 93%
See 1 more Smart Citation
“…Instead, the peak is shifted to 2 (∆ 2 ) -Ref. [50]. Comparison curves: CSM prediction for θ π 2 (∆ 2 ) in Refs.…”
Section: Wave Functions Of Nambu-goldstone Bosonsmentioning
confidence: 93%
“…Exploiting the connections between GPDs, elastic form factors, and DFs, Ref. [50] reconstructed the pion GPD from relevant available data [58][59][60][61][62][63][64][65]; and, therefrom, the pion mass distribution form factor. The result is drawn in Fig.…”
Section: Empirical Determination Of the Pion Mass Distributionmentioning
confidence: 99%
“…We consider the squared momentum transfer t of the differential cross section to be in the range GeV . A meticulous global fitting of the photoproduction experimental data is employed [55] to extract the parameters , , and in the quark GFFs (Eqs. (15)).…”
Section: Gffs and Vector Meson Photopro-duction J/ψmentioning
confidence: 99%
“…To check the fitting accuracy of the differential cross sections, we compare these integral values via Eq. ( 18) with the total cross section experimental data [55], as depicted in Fig. 3.…”
Section: Gffs and Vector Meson Photopro-duction J/ψmentioning
confidence: 99%
See 1 more Smart Citation