Difficulty in determining the pion form factor at high Q^{2}
C. E. Carlson, Joseph Milana
Abstract
C. E. Carlson, Joseph Milana
Abstract
We reexamine the determination of the pion form factor at large spacelike ${\mathit{Q}}^{2}$ via the reaction ep\ensuremath{\rightarrow}en${\mathrm{\ensuremath{\pi}}}^{+}$ and find that, because of the magnitude of the pion-nucleon form factor and the existence of competing hitherto uncalculated processes in QCD, the pion electromagnetic form factor is not sufficiently well determined at higher ${\mathit{Q}}^{2}$ to compare with the expected scaling prediction of QCD. Instead, we conclude that the best way to get information about the pion electromagnetic form factor is to study ${\mathrm{\ensuremath{\pi}}}^{0}$ production.
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We reexamine the determination of the pion form factor at large spacelike ${\mathit{Q}}^{2}$ via the reaction ep\ensuremath{\rightarrow}en${\mathrm{\ensuremath{\pi}}}^{+}$ and find that, because of the magnitude of the pion-nucleon form factor and the existence of competing hitherto uncalculated processes in QCD, the pion electromagnetic form factor is not sufficiently well determined at higher ${\mathit{Q}}^{2}$ to compare with the expected scaling prediction of QCD. Instead, we conclude that the best way to get information about the pion electromagnetic form factor is to study ${\mathrm{\ensuremath{\pi}}}^{0}$ production.
Key concepts: Pion, Physics, Form factor (electronics), Particle physics, Quantum chromodynamics, Nucleon, Scaling, Production (economics)