Pion charge radius from charged pion electroproduction
Véronique Bernard, Norbert Kaiser, Ulf-G. Meißner
Abstract
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Véronique Bernard, Norbert Kaiser, Ulf-G. Meißner
Abstract
Open-access reader
We analyze a low-energy theorem of threshold pion electroproduction which allows one to determine the charge radius of the pion. We show that at the same order where the radius appears, pion loops induce a correction to the momentum dependence of the longitudinal dipole amplitude ${L}_{0+}^{(\ensuremath{-})}.$ This model-independent correction amounts to an increase of the pion charge radius squared from the electroproduction data by about 0.27 ${\mathrm{fm}}^{2}.$ It sheds light on the apparent discrepancy between the recent determination of the pion radius from electroproduction data and the one based on pion-electron scattering.
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We analyze a low-energy theorem of threshold pion electroproduction which allows one to determine the charge radius of the pion. We show that at the same order where the radius appears, pion loops induce a correction to the momentum dependence of the longitudinal dipole amplitude ${L}_{0+}^{(\ensuremath{-})}.$ This model-independent correction amounts to an increase of the pion charge radius squared from the electroproduction data by about 0.27 ${\mathrm{fm}}^{2}.$ It sheds light on the apparent discrepancy between the recent determination of the pion radius from electroproduction data and the one based on pion-electron scattering.
Key concepts: Pion, RADIUS, Physics, Charge radius, Charge (physics), Nuclear physics, Particle physics, Computer science