On the structure of the pion: A QCD--inspired point of view

Details On the structure of the pion: A QCD--inspired point of view On the structure of the pion: A QCD--inspired point of view

2001-11-05

arxiv.org/abs/hep-ph/0111040v1

Proceedings of the Mini-Workshop Bled 2001: "Selected few-body problems in hadronic and atomic physics"

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 figures, 4 tables, 15 references. Talk presented at the Mini-Workshop Bled (Slovenia), July 7-14, 2001

Scientific paper

The effective interaction between a quark and an anti-quark as obtained previously with by the method of iterated resolvents is replaced by the so called up-down-model and applied to flavor off-diagonal mesons including the pion. The only free parameters are those of canonical quantum chromo-dynamics (QCD), particularly the coupling constant and the masses of the quarks. The so obtained light-cone wave function can be used to calculate the pion's form factor, particularly its mean-square radius can be computed analytically. The results allow for the exciting conclusion that the pion is built by highly relativistic constituents, in strong contrast to composite systems like atoms or nuclei with non-relativistic constituents.

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