1. Empirical Determination of the Pion Mass Distribution
- Author
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Xu, Yin-Zhen, Raya, Khépani, Zhu-Fang CUI, Roberts, Craig D., and Rodríguez-Quintero, J.
- Subjects
Nuclear Theory ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,General Physics and Astronomy ,High Energy Physics - Experiment ,Nuclear Theory (nucl-th) ,High Energy Physics - Phenomenology ,Phenomenology (hep-ph) ,High Energy Physics - Experiment (hep-ex) ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Lattice ,22 Física ,High Energy Physics ,Nuclear Experiment (nucl-ex) ,Nuclear Experiment - 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, $\theta_2$. Compared with the pion elastic electromagnetic form factor, $\theta_2$ 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 pion GPD, related form factors and distributions should serve as valuable constraints on theories of pion structure., Comment: 9 pages, 6 figures, 1 table. Version accepted for publication as an Express Letter in Chin. Phys. Lett
- Published
- 2023