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, ${\theta }_2$. 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.

9 pages, 6 figures, 1 table. Version accepted for publication as an Express Letter in Chin. Phys. Lett

References in corpus (29)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Chiral effective field theory and nuclear forces
• Electron-Ion Collider in China
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• The Asymmetry of Antimatter in the Proton
• Empirical Consequences of Emergent Mass
• Selected Science Opportunities for the EicC
• Gauge Sector Dynamics in QCD
• Flavour symmetry breaking and meson masses
• Emergent Hadron Mass in Strong Dynamics
• Concerning pion parton distributions
• Emergence of mass in the gauge sector of QCD
• Emergence of pion parton distributions
• Measures of pion and kaon structure from generalised parton distributions
• The pion and kaon $⟨x^3⟩$ from lattice QCD and PDF reconstruction from Mellin moments
• Proton and pion distribution functions in counterpoint
• Hadron and light nucleus radii from electron scattering
• An introductory lecture on Generalised Parton Distributions
• Femtoscopy of the Origin of the Nucleon Mass
• A glimpse into pion gravitational form factor
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model

Cited by in corpus (4)

• Polarised parton distribution functions and proton spin
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles
• Determination of the pion generalized parton distributions at zero skewness