Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..aprq11002h&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #Q11.002
Physics
Scientific paper
A field-theoretical description of the photoproduction of two pions off the nucleon is derived that applies to real as well as virtual photons. The Lorentz-covariant theory is complete at the level of all explicit three-body mechanisms of dressed interacting hadrons. The full three-body reaction dynamics of the interacting ππN system is accounted for by the Faddeev-type ordering structure of the Alt-Grassberger-Sandhas equations. The formulation is valid for hadronic two-point and three-point functions dressed by arbitrary internal mechanisms provided all associated electromagnetic currents are constructed to satisfy their respective (generalized) Ward-Takahashi identities. It is shown that coupling the photon to the Faddeev structure of the underlying hadronic two-pion production mechanisms results in a natural expansion of the full two-pion photoproduction current Mππ^μ in terms of multiple loops involving two-body subsystem scattering amplitudes of the ππN system that preserves gauge invariance as a matter of course order by order in the number of loops. A closed-form expression is presented as well for the entire gauge-invariant current Mππ^μ with complete three-body dynamics.
Haberzettl Helmut
Nakayama Kanzo
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