6533b85cfe1ef96bd12bc9a8

RESEARCH PRODUCT

The form factor of the pion in point-form of relativistic dynamics revisited

B. DesplanquesA. AmgharL. Theußl

subject

Quantum chromodynamicsPhysicsNuclear and High Energy Physics[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]010308 nuclear & particles physicsPoint-form relativistic dynamicsForm factor (quantum field theory)Relativistic dynamicsFOS: Physical sciencesRelativistic quantum mechanics01 natural sciencesPion form factorHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PionCharge radiusQuantum electrodynamics0103 physical sciences010306 general physicsWave functionOrder of magnitude

description

The electromagnetic form factor of the pion is calculated in the "point-form" of relativistic quantum mechanics using simple, phenomenological wave functions. It is found that the squared charge radius of the pion is predicted one order of magnitude larger than the experimental value and the asymptotic behavior expected from QCD cannot be reproduced. The origin of these discrepancies is analyzed. The present results confirm previous ones obtained from a theoretical model and call for major improvements in the implementation of the "point-form" approach.

10.1016/j.physletb.2003.09.031http://hal.in2p3.fr/in2p3-00013698