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Pion charge form factor and constraints from space-time translations

Abstract : The role of Poincaré covariant space-time translations is investigated in the case of a relativistic quantum mechanics approach to the pion charge form factor. It is shown that the related constraints are generally inconsistent with the assumption of a single-particle current, which is most often referred to. The only exception is the front-form approach with $q^+=0$. How accounting for the related constraints, as well as restoring the equivalence of different RQM approaches in estimating form factors, is discussed. Some extensions of this work and, in particular, the relationship with a dispersion-relation approach, are presented. Conclusions relative to the underlying dynamics are given.
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http://hal.in2p3.fr/in2p3-00457740
Contributor : Bertrand Desplanques <>
Submitted on : Thursday, February 18, 2010 - 12:52:11 PM
Last modification on : Thursday, November 19, 2020 - 12:58:50 PM
Long-term archiving on: : Friday, June 18, 2010 - 9:18:16 PM

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B. Desplanques, Yu Bing Dong. Pion charge form factor and constraints from space-time translations. 5th International Conference on Quarks and Nuclear Physics (QNP09), Sep 2009, Beijing, China. pp.1342-1345, ⟨10.1088/1674-1137/34/9/038⟩. ⟨in2p3-00457740⟩

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